Necessitarianism

Here There Be Contingency

Some old maps put monsters in the blank spaces. The sea serpents did not mark the edge of the world. They marked the edge of the survey.

Something similar happens in classical theism. Across nine centuries, three religious traditions, and several philosophical languages, thinkers who agree about almost nothing else arrive at the same joint in their systems and place something there.

I call the device a modal firewall: a selective restriction, reclassification, or termination of explanatory inquiry, placed at the point where continuing the explanation threatens to turn a contingent world into a necessary one.

The term is diagnostic, not accusatory, and is meant as a working constraint rather than a courtesy. A firewall may be independently justified. It may mark a real distinction rather than an improvised defense. But its location matters. When a boundary appears precisely where an explanatory system approaches an unwanted modal consequence, the boundary acquires a burden. It must be defended by more than the fact that it preserves the result the theory wants. Some of the cases below discharge that burden. One of them discharges it almost entirely.

One unexpected conclusion is worth stating at the outset. In the standard presentation, contingency is the premise and the necessary being is the conclusion: things need not have been, so they point beyond themselves to what must be. The record of these devices suggests something closer to the reverse. Contingency is not the comfortable starting point of classical theism. It is the thing classical theism has to work hardest to keep, and the architecture at the joint is the record of that work.

The predicament

The trouble is structural. Classical theism holds three things at once. First, the source of everything is necessary: not merely everlasting, but unable not to exist. Classical theists combine this with divine simplicity, according to which God is not composed of parts and possesses no intrinsic features that are distinct from the divine essence. Second, what the source produces is contingent: creation is a gift, not an emanation. This world did not have to exist. Third, the ascent from creatures to their source is a real explanation, not a dignified shrug. Natural theology depends on refusing to say that reality simply stops making sense at the summit.

Any two of these commitments sit together comfortably. A necessary source can produce a necessary order. A contingent world can remain brute. An explanation can proceed from one contingent fact to another. The strain appears when all three are combined. If a contingent world depends explanatorily on a necessary being, what stops necessity from running back down the chain the explanation has just climbed?

That question does not by itself establish a contradiction. Much depends on what kind of dependence is involved, whether the explanans necessitates the explanandum, and whether divine willing can be necessary as an act without necessitating its object. But those are not side issues. They are the point at which the theory must explain how the modal difference survives the explanatory connection.

Something has to happen at the joint. What’s fascinating is not that theists place something there. It is that they place very different things there, and that the location itself migrates across the tradition.

The test

Before the cases, the criteria.

Not every explanatory stopping point is suspect. Mathematics stops where it stops for reasons that have nothing to do with protecting a desired modal result. A theory may show that a relation is asymmetric, that a contrast has been misdescribed, that an explanatory demand is illegitimate, or that a terminus follows from the nature of the subject matter. Any diagnostic worth having has to be able to acquit such cases, and has to be able to say in advance what acquittal would look like.

Five questions do that work.

  1. Priority. Was the stopping point motivated before the modal danger appeared, or does it enter the system at the moment of pressure?
  2. Independent yield. Does it solve any problem other than preserving contingency?
  3. A real alternative. Does the theory identify a genuinely open opposite, or does it redescribe a necessary outcome in more accommodating vocabulary?
  4. Transmission. Does the explanatory relation carry necessity from ground to consequence, and if not, what specifically blocks the carriage?
  5. Counterfactual acceptance. Would the boundary still be accepted if it produced the opposite modal result?

A boundary is earned when these have answers. It is suspect when its only defense is the very contingency it was introduced to save. After the survey, the questions are applied to two cases (one that passes and one that does not).

Eight ways to hold the line

Avicenna refuses to protect alternativity. The First is necessary in itself, and everything else proceeds from it by necessity of nature. He does not simply erase the distinction between creator and creature. He redraws it. Every created thing is possible in itself and necessary through another. Considered in itself, its essence does not include existence. Considered in relation to its cause, its existence cannot fail.

This is an elegant reclassification. It preserves asymmetric dependence, aseity, and the difference between having existence in oneself and receiving it from another. What it does not preserve is an actual alternative. Nothing in the complete causal order could have been otherwise. Contingency has been moved from the order of events into the internal constitution of dependent natures.

Al-Ghazālī’s critique of the philosophers is aimed, among other things, at exactly this point. A possible-in-itself world that necessarily follows from its source is not the free creation the theologian wanted. The alternative must be real, not merely abstracted from the cause that excludes it. This is the one place in the sequence where the historical through-line is well documented: a specific placement was found inadequate, in print, by a reader who named it.

Maimonides answers in two layers. His first move is particularization. Necessity of nature tends toward uniformity, yet the heavens exhibit this number of spheres, these motions, these directions. The arrangement appears particular in a way that impersonal emanation cannot explain. A purposive agent is therefore required. What a rationalist may count as an unpaid explanatory debt, Maimonides converts into evidence for will. The residue is not an embarrassment. It is the argument.

His second move limits what may be inferred once will has been introduced. Maimonidean negative theology sharply restricts affirmative claims about the divine essence, even while allowing us to speak of divine actions. The result is not absolute silence, but it narrows the terms on which the divine decision can be inspected. The boundary is drawn, and then the conditions for examining it are tightened.

Maimonides is unusually candid about the stakes. Creation is preferable to eternity because eternity has not been demonstrated and because creation better accommodates will, prophecy, and law. Were eternity demonstrated, scriptural interpretation would have to change radically. He posts a warning sign beside his own boundary. The cost is that the stopping point becomes difficult to audit: the less that may be said about what stands behind it, the harder it is to ask whether the limit is independently earned or simply protective.

Aquinas makes a cleaner cut. God’s goodness is complete without any created order. No creature is therefore necessary as a means to divine perfection. God wills creatures, but does not need them. Explanation runs at full strength on both sides of the cut. Divine willing is a positive explanatory principle in the system, not a refusal to explain.

The elegance is also the exposure. Divine simplicity says that God’s act of willing is not a separable state added to the divine essence. If the divine essence is necessary, how can the willing of this world fail to be necessary? Aquinas’s account of relations helps hold the line. The creature is really related to God because it depends on God. The corresponding relation to the creature is not a real addition in God, but a relation of reason. The relation does not modify the necessary source.

That is more precise than saying that God is not related to creation at all. Aquinas is not cutting every connection. He is denying that creation introduces a new intrinsic feature into God. Whether that asymmetry explains contingency or mainly preserves divine immutability is the question the survey has to answer.

Scotus is the hinge, and the most direct answer anyone in this tradition gives to the question the reclassification strategy leaves open: is the opposite genuinely available?

The received picture he inherited treats possibility as spread across time. Something is possible if it obtains at some time or other; what is actual now is, in the relevant sense, necessary now, and the only openness available is the openness of a later moment. On that model, a will is free because it may will otherwise afterward. It is not free at the moment it wills. Scotus rejects the model. In the Lectura I 39 he argues that the will retains a real power for the opposite at the very instant at which it elicits its act. Not a power to change later. A power for not-A at the same instant at which A is willed. Later readers call this synchronic contingency, and the name marks a genuine break: possibility stops being a function of the temporal series and becomes a matter of the logical compatibility of alternatives, available to be assessed at an instant.

The structural consequence is the one that matters here. Scotus argues that contingency in the world cannot be produced by a first cause that causes necessarily; if the first cause acts of necessity, nothing downstream is contingent, however many intermediate causes are inserted. Nor can the divine intellect be the source, since the intellect apprehends what is intelligible rather than settling what obtains. The source of contingency must therefore be the divine will, and the divine will must be contingent in the synchronic sense: at the instant it wills this order, it retains the power for another.

This is not a restriction on inquiry. It is a positive theory of what possibility is, and its rationale runs well beyond the modal question at the joint: it reorganizes the analysis of freedom, of future contingents, and of divine knowledge. That is exactly the profile of a boundary with independent motivation, and Scotus deserves the credit.

The cost shows up one level in. A power for the opposite that is never exercised has to be something, and Scotus’s answer is that it is grounded in the logical compatibility (or, in Scotus’s own language, the non-repugnance of the terms), which he treats as prior to and independent of any act of will. That relocates the question rather than closing it: what accounts for the modal facts about non-repugnance, and what is their relation to a simple God? Scotus’s own answer requires the formal distinction, which lets him say that the divine attributes are distinct in a way weaker than a real distinction but stronger than a merely conceptual one. Thomists have argued ever since that this is simplicity purchased at a discount. Whether or not they are right, the observation for present purposes is structural: to make the divine will contingent, Scotus has to introduce distinctions inside God. The wall has not been dismantled. It has been moved indoors.

Molina moves the installation outside the divine decree. Between God’s natural knowledge of what creatures could do and God’s free knowledge of what they actually will do, Molina inserts middle knowledge: prevolitional knowledge of what any possible free creature would freely do in any possible circumstance. These counterfactual truths are available to guide the decree, but their truth is not fixed by the decree.

It matters that Molina did not arrive here by reading Aquinas on simplicity and finding the modal transmission unblocked. His context was the de auxiliis controversy: the fiercest dispute in early modern scholasticism over how efficacious grace and exhaustive providence could be reconciled with genuinely free consent. Báñez and the Dominicans held that God moves the will to its act by a predetermining concursus, and that freedom survives because God moves each thing according to its mode. Molina held that a will moved antecedently to its act is not free in the sense that matters: freedom is the power, with everything required for acting already in place, to act or not to act. The Jesuits answered that predetermination leaves the alternative no genuine work to perform; the Dominicans answered that without it, providence goes blind and grace waits on the creature. The Congregatio de Auxiliis heard the matter for nine years and condemned neither side. Rome declined to place the stop.

The honest claim is not that Molina relocated the boundary because Aquinas’s placement had failed as a piece of modal engineering. It is that the same pressure resurfaced in a different dispute, and that the machinery built to relieve it has the profile the diagnostic seeks. The specification of the tier is where this becomes visible. If the counterfactual truths are determined by God, creaturely freedom seems threatened. If they are determined by creaturely essences, the choices look settled before the chooser acts. If they depend on actual creatures, they arrive too late to guide creation. Middle knowledge therefore occupies a remarkably exact position: prior to the decree, about free acts, true independently of the decree, and still known infallibly by God.

This is not evidence of bad faith. Middle knowledge performs serious theological work, and Molinists offer arguments for each feature. But no case in the tradition displays its function more plainly. The theory needs a body of truths that can inform providence without being authored by providence. The installation stands outside God because placing it within God would threaten either contingency or freedom.

Descartes puts the boundary where nobody else in this sequence does: outside the modal order altogether.

On the doctrine of the creation of the eternal truths, announced to Mersenne in the spring of 1630 and never retracted, the truths of mathematics, logic, and metaphysics are effects of the divine will in exactly the sense that creatures are. God was as free to make the radii of a circle unequal, Descartes says, as he was free not to create a world at all. In the Sixth Replies the point is generalized: every order, every law, and every ground of anything’s being true or good depends on the divine will. And in the letters he is willing to say the thing the position requires and most readers resist: God cannot have been determined to make contradictories incompatible, and could therefore have done otherwise.

Observe what this does to the predicament. The threat was that necessity would travel from a necessary source down a dependence relation to a contingent effect. Descartes cuts the wire at the source. There is no antecedent necessity to transmit, because necessity is itself downstream of the will. Nothing in the essences makes one preferable to another before the choice; the choice therefore cannot be constrained by them, and divine indifference is total. Where the tradition insulates the effect, Descartes dissolves the modal status of the ground.

Descartes treats this opacity not as a defect of the theory but as one of its consequences. Asked how we are to conceive a free choice among contradictories, he replies that we cannot and should not try: our minds are finite and were made able to conceive as possible only what God in fact willed to be possible.

Whether the wire is actually cut is a further question, and it is not clear that it is. Something modal appears to stand before the decree even on this account: that God exists, that God can create, that God cannot make it the case that there is no God. If those hold prior to the willing, the firewall has not reached all the way out, and the transmission question returns at the new location. Amy Karofsky presses the standard version of this objection, adding a second: if God can do anything, then anything is possible, which would make even the impossible possible.

A further argument of hers cuts closer to what is distinctive in Descartes. Against contingentarian theism generally, she poses a Euthyphro-shaped dilemma. Either God chooses among alternatives for a reason, in which case the reason determines the choice and the outcome is not contingent after all; or God chooses for no reason, in which case the choice is arbitrary, anyt;hing may follow, and nothing is necessary. Either nothing is contingent or nothing is necessary. Most of the tradition treats this as a dilemma to be escaped. Descartes takes the second horn deliberately: supreme indifference is not an awkward consequence of the doctrine but its content. The argument functions against him less as a trap than as an accounting. He has purchased immunity from modal transmission at the price of necessity itself, and the position is stable only if one is willing to say so.

Leibniz stops blocking and starts grading. He refuses the earlier appeal to unexplained choice. Nothing occurs without a sufficient reason, not even a divine decision. Contingency must therefore survive inside a system that grants explanation everywhere.

His instruments include the distinction between metaphysical and moral necessity, the claim that possible alternatives remain possible in themselves, and the doctrine of infinite analysis. On one prominent reading, a necessary truth can be reduced by finite analysis to an identity, while a contingent truth requires reasons for reasons without a terminating demonstration available to a finite mind. God grasps the whole infinite order, but we do not.

The wall has become a customs house. Necessity reaches the border but must declare under which description it travels. God is morally necessitated to choose the best, Leibniz says, but not metaphysically necessitated in the sense that alternatives contain contradictions. Critics have long wondered whether the lower grade preserves a genuinely open opposite or merely gives necessity a more accommodating name. The infinite-analysis doctrine faces a parallel question. If the complete reason is there for God, does our inability to finish the proof make the truth contingent, or only make its necessity inaccessible to us?

Spinoza is the outlier who builds nothing. Every junction the preceding tradition guarded, he argues the guard away: no volitional cutoff, no middle tier, no synchronic power for the opposite, no lower grade of necessity that leaves reality otherwise, no refuge in an unfinished analysis. From the necessity of the divine nature, things follow as they do. The distinction between nature as productive and nature as produced survives, but it is causal and aspectual, not a border between necessity and contingency.

Spinoza pays for this in daylight. Freedom must be reconstructed within necessity; contingency is reassigned to the imperfection of our knowledge. Yet his refusal is philosophically clarifying. He functions as the control case. The other systems can be measured against a thinker who accepts the consequence they are designed to avoid, and the fact that the protective machinery simply does not appear in him is evidence of the same kind as its presence elsewhere.

Running the test

Aquinas, largely acquitted

Take the strongest version of the charge: that divine simplicity, or the doctrine of relations that accompanies it, is a device for keeping necessity from travelling down the creative relation.

On priority, the charge fails. Simplicity is not a Thomistic invention and does not enter at the point of modal pressure. It arrives as an inheritance: Plotinus, Augustine, Boethius, Anselm, with a lineage centuries older than the specific worry about modal transmission from a necessary source. Its stated motivation is compositional and has nothing to do with modality: whatever has parts requires something to compose them, and so cannot be first; whatever has an essence distinct from its existence cannot be unique. The doctrine is a conclusion of the argument that gets Aquinas to God at all, not a repair applied afterward.

On independent yield, it fails as decisively. Simplicity does an enormous amount of non-modal work: aseity, uniqueness, immutability, the identity of God with his own goodness, the whole account of analogical predication. Strip out the modal question entirely and the doctrine still has to be there.

On a real alternative, Aquinas is in the clear. The alternatives are not merely admitted, they are catalogued: the divine ideas include orders God did not make, and the text distinguishes what God wills necessarily (his own goodness) from what he does not (everything else). There is a genuine foil, affirmed in the theory’s own voice.

On counterfactual acceptance, the doctrine passes too. Simplicity is held by thinkers who draw opposite modal conclusions from it, and weakened by others (Scotus) without the modal result driving the revision. It is not tuned to an output.

That is four out of five, and the four are not close. Divine simplicity is not a modal firewall. Anyone who reads this diagnostic as an indictment of the doctrine has misread it.

Where the burden actually sits is question four, transmission. Aquinas’s instruments against the collapse are scope devices: the distinction between suppositional and absolute necessity, and the reply on foreknowledge that distinguishes the necessity of a conditional from the necessity of what it is about. Both have real logical content, and both are answers to arguments that transmit necessity along an inference. The simplicity problem is not of that form. If the act of willing this world just is the necessary divine essence, there is no consequence relation to disambiguate: the argument runs through an identity, and a scope distinction has nothing to operate on. The Thomist’s remaining options are structural: either the difference between willing this order and willing another is no intrinsic difference in God at all, so that worlds differ while God does not; or simplicity is qualified; or some restricted form of the collapse is accepted.

The verdict is differentiated. The doctrine is acquitted. The narrower claim that the divine will’s relation to creatures adds nothing real to God is not a firewall either, since the theory of relations that supports it is independently developed and generally applied. What remains is an unpaid explanatory debt at a precisely identifiable node, and a live contemporary literature arguing about whether it can be paid.[1]

Molina, pressed

Middle knowledge comes out differently, and the difference is instructive because it is not a difference in the sincerity of the author.

On independent yield, Molina does very well. The tier buys exhaustive providence without determination, an unmysterious account of foreknowledge, congruous grace, and (four centuries later) the machinery of the free-will defense. Nobody should call this a decorative patch.

On a real alternative, he does better than anyone else in the survey. The modal field is the widest in the tradition and it is layered: the possible worlds of natural knowledge, the feasible subset the true counterfactuals leave available, and the actual world selected from among those. An omnipotent will bounded by contingent truths it neither authored nor can alter is a striking piece of metaphysics, and the alternatives in it are load-bearing rather than decorative.

On priority, the answer splits, and the split is the interesting part. The tier was built for a real, prior, independent problem (grace and consent) and that counts genuinely in its favor. But the problem it was built for does not specify it. Nothing in the de auxiliis dispute requires that the relevant truths be prevolitional, or contingent, or ungrounded in essences, or infallibly known. Those four properties are fixed by a different requirement: that the truths inform providence without being authored by it. The motivation is prior; the specification is not.

On transmission, the answer is a bedrock. What blocks necessity from running through is that the counterfactuals are contingent, prior to every act of will, and — on the developed view — grounded in nothing. The grounding objection was raised at once, in the Thomist form that truth follows being and that prior to the decree there is no being of the relevant creatures for these truths to follow from, and it has been pressed in the same shape ever since. Grounded in the divine nature, the counterfactuals inherit necessity and determine the creature. Grounded in the creature’s essence, they determine the choice. Grounded in the creature’s actual choices, they arrive too late. Grounded in nothing, they are brute: determinate contingent truths about wills that no will, no nature, and no fact makes true. Sophisticated Molinists now accept the last horn openly. That is candor, and candor is not the same as an answer.

On counterfactual acceptance, the case is at its weakest. Suppose the tier turned out, on analysis, to necessitate the creaturely acts it reports. No Molinist would keep it. The properties are specified to exactly the tolerance the problem requires, and the position has no independent attachment to any of them.

The result: the strongest firewall candidate in the sequence, but not an unmotivated one, and not a fraud. That is a real finding, and it is a different finding from the one Aquinas gets. A diagnostic that returned the same answer for both would not be worth running.

The awkward question

Amy Karofsky has recently defended necessitarianism with an argument she titles the uncontainable contagion of contingency: if a contingent thing could have differed, then facts and relations involving it could have differed, and mere membership in a world is enough to constitute a relation. Any supposedly necessary item connected to the contingent one therefore appears caught in a network that might have been otherwise. If anything is contingent, everything is; and since radical contingentarianism is false, nothing is contingent.

Two further arguments of hers bear directly on the architecture surveyed above, and both are sharper against the firewall structure than the contagion thesis itself. (A third, the dilemma about reasons for divine choice, has already been used against Descartes.)

The first is a dilemma about criteria. Suppose some criterion distinguishes the contingent from the necessary. That criterion must itself be either contingent or necessary, and falls on one side of the very line it was introduced to draw. This is precisely the question a firewall cannot avoid. If the barrier and all its relevant operations are necessary, why is the outcome on the far side not necessary? If the barrier is contingent, has contingency entered the source, or the structure surrounding it?

The second is an argument against degrees of necessity, and it is aimed, whether or not by design, at the customs house. If metaphysical and moral necessity genuinely differ, some criterion must distinguish them; and that criterion can be neither metaphysically nor naturally necessary without circularity. Leibniz’s grading strategy is the obvious target. Scotus’s distinction between logical possibility and what a cause can actually produce is a further one.

Karofsky’s argument is not the same as the firewall argument. It is stronger and more controversial: it aims to show that contingency cannot be contained at all. The firewall diagnosis makes a narrower claim: that when a theory introduces a boundary exactly where explanatory continuation threatens modal collapse, that boundary deserves scrutiny of a specific kind. Nor is her argument uncontested; Stephen Maitzen has pressed hard on the modal logic and on her treatment of infinite regresses, among other things. Take her contagion argument as a stress test rather than a definition of the phenomenon. If it succeeds, it supplies an independent reason to doubt that contingency can be stably partitioned. If it fails, the differentiated record above still stands on its own evidence.

Run the stress test against the survey and four recurring strategies come into view. They overlap; a single thinker may use more than one, and Spinoza rejects all four.

The first places the barrier in reality. Divine will, asymmetric relations, synchronic power for the opposite, and middle knowledge are all meant to make a real difference to what follows from what. These cases face the modal question directly. The answer may be that explanation need not necessitate, that willing can be free without being an intrinsic alteration, that a power for the opposite is real at the instant of acting, or that counterfactual truths have a special status. But one of those answers must do the work. Merely repeating that God chose freely does not yet explain how a necessary source supports a nonnecessary effect.

The second places the limit in cognition or description. Maimonidean apophasis restricts what we can say. Cartesian incomprehensibility restricts what we can conceive. Leibnizian infinite analysis restricts what finite reasoners can complete. Such limits may be independently justified, and they may explain why no proof of necessity is available to us. What they cannot do by themselves is establish that the world is metaphysically contingent. A boundary on demonstration is not automatically a boundary on reality. It may stop us from watching necessity spread without stopping the spread.

The third works by reclassification. Avicenna’s possible-in-itself beings, Leibniz’s moral necessity, and other graded modalities preserve a contrast while revising what the contrast means. The decisive question is whether the opposite remains genuinely open. Scotus is the tradition’s most serious attempt to answer it in the affirmative, and the attempt succeeds or fails on whether unexercised logical possibility is a real feature of the world or a shadow cast by our descriptions.

The fourth relocates the modal order itself. Descartes alone makes the necessary truths products of divine will, so that there is no antecedent necessity available to travel anywhere. This is the most radical placement in the sequence, and it purchases immunity from transmission by surrendering the very stability the other positions were trying to protect.

None of these questions has a one-line answer. That is precisely why the pattern matters. The same pressure recurs under different terminologies, and the boundary moves: from essence to will, from will to relation, from relation to a power for the opposite at an instant, from that power to counterfactual truth, from counterfactual truth to the modal order as such, from metaphysics to analysis. The architecture changes because each location carries a different cost.

The inversion

Natural theology has often presented the necessary being as the explanation of contingency. Things need not have been, so they point beyond themselves to what must be.

The firewall record suggests something closer to the reverse, and this is the claim I would most like a reader to carry away. Dependence on a necessary source creates the most direct route along which necessity threatens to travel. Classical theism is therefore not an easy home of contingency. It is one of the most demanding settings in which contingency must be preserved and explained. The theory makes the world absolutely dependent on a metaphysically necessary source, then must explain why the modal profile of the effect does not simply inherit that of its ground.

Humean mosaics and brute-fact naturalisms have an easier story about preserving contingency for an unglamorous reason: their dependence relations are weaker, or they stop earlier. That does not make them explanatorily superior. They pay in bruteness what theism pays in insulation. A world that declines to explain its basic arrangement will not suffer modal transmission from an explanation it never offered. The price is that the arrangement remains unpaid for.

The interesting comparison is therefore not between theories with costs and theories without them. There are no theories without them. It is between different ways of paying. The theist buys explanation and inherits the problem of modal transmission. The brute-fact theorist blocks transmission by refusing the explanatory ascent. Spinoza purchases complete intelligibility by surrendering alternativity. Leibniz tries to keep both explanation and contingency by grading necessity. Descartes keeps the ascent and the alternatives by making necessity itself a creature. Molina locates the alternative in truths prior to the decree. Scotus locates it in a power for the opposite that survives the act of willing. Aquinas locates it in a will whose relation to creatures adds nothing real to God.

Once the ledger is visible, the familiar dialectic changes. Contingency is no longer the free starting point from which the necessary being is inferred. It is an achievement for which the completed system must account.

What follows

Identifying a firewall locates a burden; it does not discharge it, and as the Aquinas case shows, running the test can also lift one. Several of these boundaries have serious independent arguments behind them. Aquinas’s account of divine goodness is not an evasion. Molina’s middle knowledge is not a decorative patch. Scotus’s synchronic contingency is a genuine advance in modal theory, not a defensive maneuver dressed as one. Maimonidean negative theology does not exist only to conceal a modal problem. Leibniz’s distinction between kinds of necessity belongs to a much larger account of reason, value, and freedom. Even Descartes’s universal possibilism, which looks from outside like the most desperate placement in the survey, follows from a considered view about what omnipotence requires.

What the survey does show is narrower, and harder to dismiss. It shows that a specific pressure recurs across systems with almost nothing else in common, that something is built at the same joint each time, and that the something is different each time, which is what one would expect if the pressure were real and the solutions were attempts rather than inheritances. It also shows that the diagnostic can distinguish among cases: applied to Aquinas it mostly acquits, applied to Molina it mostly does not, and the difference tracks features of the theories rather than sympathies.

The five questions are worth restating now that they have been used. Was the stopping point motivated before the modal danger appeared? Does it solve a problem other than preserving contingency? Does the theory identify a genuinely open alternative, or only redescribe a necessary outcome? Does the explanatory relation transmit necessity, and if not, what blocks the transmission? Would the boundary still be accepted if it produced the opposite modal result?

A boundary is earned when those questions have answers. It is suspect when its only defense is the very contingency it was introduced to save.

Which returns us to the map. The monsters and the wall are the same fact from two sides: from outside, a survey that stops; from inside, something built at the place where it stopped. The map may be right. There may really be dragons. But the serpents are drawn at the edge of the survey, and someone should ask whether the surveyor stopped because the land ended or because he did.

Sources and further reading

Avicenna, The Metaphysics of The Healing, Books VIII–IX; and the overview in Avicenna’s Metaphysics.

Al-Ghazālī, The Incoherence of the Philosophers, especially Discussion 1.

Maimonides, The Guide of the Perplexed, I.50–60 and II.13–25; see also the Stanford Encyclopedia overview.

Thomas Aquinas, Summa Theologiae I, q. 13, a. 7; q. 14, a. 13; q. 19, aa. 3 and 8; q. 28, a. 1; q. 45, a. 3. Online text.

John Duns Scotus, Lectura I, d. 39, and Ordinatio I, dd. 38–39; translated with commentary in A. Vos et al., Contingency and Freedom: Lectura I 39 (Kluwer, 1994). For the background against which the break is visible, Simo Knuuttila, Modalities in Medieval Philosophy (Routledge, 1993). See also Duns Scotus.

Luis de Molina, On Divine Foreknowledge: Part IV of the Concordia, trans. Alfred J. Freddoso (Cornell, 1988); Thomas P. Flint, Divine Providence: The Molinist Account (Cornell, 1998); on the grounding objection, Robert M. Adams, “Middle Knowledge and the Problem of Evil,” American Philosophical Quarterly 14 (1977): 109–17, and William Hasker, God, Time, and Knowledge (Cornell, 1989). See also Middle Knowledge.

René Descartes, letters to Mersenne of 15 April, 6 May, and 27 May 1630 (AT I 145–53; CSMK 23–26); Sixth Set of Replies (AT VII 431–36; CSM II 291–94); letter to Mesland of 2 May 1644; letter to Arnauld of 29 July 1648. See also Descartes’ Modal Metaphysics, and Harry Frankfurt, “Descartes on the Creation of the Eternal Truths,” Philosophical Review 86 (1977): 36–57.

G. W. Leibniz, “On Contingency” and Theodicy; see also Leibniz’s Modal Metaphysics.

Baruch Spinoza, Ethics, Part I, especially propositions 16, 29, and 33. Online text.

Amy Karofsky, A Case for Necessitarianism (Routledge, 2021), ch. 3; the contagion argument is §3.4, “The Uncontainable Contagion of Contingency,” where the criterion dilemma also appears; the dilemma about reasons for divine choice is at §2.18; the argument against degrees of necessity is in ch. 4; the objections to Aquinas and Descartes are in the Introduction, “Some Medieval and Modern Philosophers,” pp. 10–12. See also her “Suárez’ Influence on Descartes’ Theory of Eternal Truths,” Medieval Philosophy and Theology 10 (2001): 241–62. Publisher page. For criticism, Stephen Maitzen, “Necessitarianism Under Fire.”


[1] The contemporary modal collapse literature is arguing about precisely this trilemma. See R. T. Mullins, The End of the Timeless God (Oxford, 2016), ch. 4, and “Classical Theism” in the T&T Clark Handbook of Analytic Theology (2021); Christopher Tomaszewski, “Collapsing the Modal Collapse Argument: On an Invalid Argument against Divine Simplicity,” Analysis 79 (2019): 275–84; Joseph C. Schmid, “The Fruitful Death of Modal Collapse Arguments,” International Journal for Philosophy of Religion 91 (2022): 3–22, and “From Modal Collapse to Providential Collapse,” Philosophia 50 (2022): 1413–35; Schmid and Mullins, “The Aloneness Argument against Classical Theism,” Religious Studies 58 (2022): 401–19; and, on the other side, W. Matthews Grant, Free Will and God’s Universal Causality (Bloomsbury, 2019). Tomaszewski’s objection is that the standard derivation is invalid, trading on an illicit substitution into a modal context; Schmid’s response is that the classical theist escapes the collapse only by accepting an indeterministic link between God and his effects, which then costs something at providence. The dispute is a live instance of question four above.


“Driving, page-turning force” Publishers Weekly

Standard
Ontology

Dissolving Wigner’s Old Puzzle – with Necessitarianism

Eugene Wigner’s famous puzzle about the “unreasonable effectiveness of mathematics” is really three puzzles braided together: why abstract mathematics applies to the physical world at all, why it appears indispensable to our deepest physical theories, and why mathematical structures developed for purely internal reasons — with no physical application in view — keep turning out to be exactly what new physics needs. Six decades of philosophical responses (Platonism, nominalism, structural realism, deflationary naturalism, Tegmark’s mathematical universe hypothesis) have each addressed part of the problem while leaving the rest untouched. The reason is that they all share a background assumption they never examine: that the fundamental laws of nature are contingent.

That assumption is doing all the work. If the laws could have been otherwise, the correspondence between mathematical structure and physical law is a coincidence across distinct modal domains — the necessary and the contingent — and no principled explanation is available. The explanatory vacuum is real enough to have been recruited as an argument for theism. But withdraw the contingentist assumption and the puzzle substantially deflates. If the laws are necessary, both mathematics and physics inhabit the same modal domain, and the convergence between them — especially the serendipitous convergence of internally motivated mathematics with fundamental physics — becomes intelligible rather than miraculous: mathematicians and physicists, guided by different methods, are exploring the same landscape of structurally deep necessary truth.

The argument also runs in reverse. If necessitarianism provides the most unified, parsimonious, and explanatorily powerful account of mathematical effectiveness — handling applicability, indispensability, and serendipity in a single stroke — then the observed effectiveness of mathematics is itself defeasible evidence for the necessity of laws. Wigner’s puzzle is not merely a problem that necessitarianism alleviates; properly understood, it is a datum that necessitarianism fits better than any competing view.

Why Mathematics Works: Dissolving Wigner’s 64-Year-Old Puzzle – Substack

Standard
Schrodinger's Dachshund

Modal Firewalls: Why Metaphysics Keeps Telling Explanation to Stop

Metaphysics is usually framed as a debate about what exists, what is fundamental, and what modal structure reality bears. Less often noticed is that it is also a debate about how far explanation is allowed to go. Which “why”-questions remain legitimate as inquiry deepens, and which are dismissed as misplaced, category-confused, or simply one question too far? Where is explanation welcomed, and where is it told to stop?

My claim is that many of these stopping points are not dictated by the subject matter. They are imposed because letting explanation continue would have unwelcome modal consequences. Explanation is permitted to proceed until it begins to harden modal space, align what were supposed to remain independent possibilities, or collapse a protected boundary. At that point, a question is declared illegitimate, a boundary is announced, or a primitive is installed. I call the resulting stopping rules modal firewalls.

The phrase marks a structural phenomenon, not a verdict. A modal firewall is not a theory, still less an argument. It is a way of regulating explanatory scope — determining where explanation may range and where it may not, in a manner sensitive to the modal consequences of explanatory success. Not every explanatory limit is a firewall. Some stopping points are earned. But metaphysics needs a clearer distinction than it often employs between explanatory failure and explanatory prohibition.

The Diagnostic Tests

How do you tell an earned stopping point from a consequence-sensitive one? I propose four tests.

Selectivity. Does the stopping rule appear only where modal consequences threaten?

Reversibility. Would the theorist keep the limit if it no longer protected the modal outcome at stake?

Content versus consequence. Is the explanation blocked because it fails on its own terms, or because too much would follow if it succeeded?

Parallel structure. Does the stopping point occupy the same functional role as clearer historical cases of consequence-sensitive restraint?

None of these is decisive by itself. Their role is burden-shifting, not mechanical. But when stopping rules cluster systematically at modal pressure points, the claim that a given case is “just different” requires argument rather than insistence..assertion.

Explanatory Unity and the Burden of Stopping

To identify a stopping point as a firewall, you need a methodological background. Otherwise every stopping point looks like one more harmless feature of practice. The background I propose is explanatory unity: the scope of explanation should be determined by explanatory success rather than blocked in advance by domain membership or modal policy.

This is weaker than it sounds. It is not reductionism, not monism, and not the Principle of Sufficient Reason. You can allow that some facts are brute and that explanation legitimately bottoms out. The claim is narrower: explanatory termination should not systematically coincide with modal boundaries without further account.

From this follows a central methodological consequence: there is a burden of stopping. When explanation halts because it fails — circularity, vacuity, loss of illumination — no special defense is needed. But when explanation halts despite remaining intelligible and continuous with practice elsewhere, the restriction demands justification.

Why should continuation enjoy a default privilege over restraint? Because the two cases have different justificatory structures. Explanatory success has internal credentials: it illuminates, it unifies, it reduces arbitrariness, it renders intelligible what was previously opaque. These can be assessed by standards internal to explanation itself. Explanatory restriction requires a rationale external to the explanation being restricted. When we reject an explanation because it is circular, we cite a feature of the explanation. When we block an explanation because its success would collapse contingency, we cite a feature of the consequences. The asymmetry is not between explanation and silence. It is between assessment and prohibition. Assessment evaluates an explanation by what it does. Prohibition overrides an explanation by what it would imply.

Aquinas: a Sharply Visible Firewall

Aquinas is one of the clearest historical cases because his explanatory ambitions are so substantial and his stopping point so precise. Creatures are rendered intelligible through exemplar causation in the divine intellect; the divine intellect is rooted in the divine essence; and the divine essence is necessary. Up to this point, explanatory ascent is not only permitted but encouraged.

Then something interesting happens. If explanation were allowed to continue under the same pressure, the necessity of the divine essence would propagate to creation itself. The modal status of the source would fix the modal status of what proceeds from it.

Aquinas’s response is to insert a highly specific stopping point. Explanation runs through the divine essence, but does not determine the divine willing of this created order. God necessarily knows all possibles, but does not necessarily will any particular creation. The will performs a structural task: it marks the point where explanatory ascent is restrained in order to preserve the contingency of creation.

The diagnostic tests apply cleanly. The stopping point is selective — explanation is welcomed until divine necessity threatens to globalize. It is reversible — if divine essence did not threaten to necessitate creation, the volitional cutoff would lose much of its point. And it is consequence-sensitive — the issue is not that the explanatory route suddenly becomes unintelligible, but that allowing it to complete would yield a modal result the system is unwilling to accept.

An important caveat: Aquinas does not present divine will as an ad hoc device. It is a first-order theological commitment with deep independent roots. That matters. A modal firewall need not present itself as a reactive patch to function as one. The philosophically interesting cases are often the ones where a stopping point is independently motivated and still performs unmistakable modal work.

(Why Necessary Foundations Can’t Produce Contingent Worlds – And What This Means for Classical Theism)

The War of the Firewalls: Thomists and Molinists

If Aquinas gives us a sharply visible firewall, Molina shows what happens when one firewall generates pressure for another.

The Thomistic cutoff blocks necessity from propagating to creation. But it leaves a residual difficulty: if divine willing is where contrastive selection becomes terminal, how is providential governance through free creaturely action to be understood? Molina’s answer is scientia media — middle knowledge — a tier of truths concerning what free creatures would do in specified circumstances, known by God prior to the decree and yet not grounded in the decree, in creaturely existence, or in the necessities of nature.

Molinist counterfactuals occupy a highly specific modal niche. They are determinate, truth-apt, contingent, and pre-volitional. Not grounded in God, not in creatures, not in essences. The truths simply obtain. That is not an accidental gap. It is the point of the construction.

In Aquinas, the firewall is localized in divine agency, and the dignity of the will helps it look principled. In Molina, the engineering is harder to miss. A bespoke class of truths is introduced to do exactly the work the prior firewall could not, while itself being insulated from further explanation. One firewall has generated residual pressure, and a second is built to manage it.

This is why the dispute over middle knowledge is so revealing. Adams’s classic complaint captures the structural issue precisely: middle knowledge requires truths that are determinate enough to guide providence while floating free of any acceptable explanatory ground. The disagreement is not between a view with firewalls and a view without them. It is a disagreement over the location of bruteness. The Thomist regards free-floating modal facts as intolerable; the Molinist regards bare volitional cutoff as explanatorily incomplete. Each treats the other’s residue as unacceptable while defending its own as principled.

Leibniz: the Pressure Made Explicit

These theological cases are not historical curiosities. They are clear instances of a structural problem that reappears whenever explanation is powerful enough to threaten contingency. (See also Plato, Aristotle, and Plotinus.) Leibniz makes the point vivid because he names the threat directly.

Leibniz accepts the Principle of Sufficient Reason without restriction. Everything has a reason. God acts for a reason — specifically, God creates the best of all possible worlds because it is the best. The explanatory chain from divine perfection to this created order is allowed to close in a way Aquinas’s volitional cutoff was designed to prevent. But this immediately generates exactly the pressure the diagnostic framework predicts: if God necessarily exists, and if God’s perfection necessarily selects the best world, then the best world is necessarily actual. The result is Spinozism — the view Leibniz spent considerable energy refusing.

Leibniz’s response is the distinction between moral necessity and metaphysical necessity. God is morally necessitated to choose the best — inclined, as the famous formula has it, without being necessitated. The best world is certain but not strictly necessary, because its negation does not imply a contradiction. This is a firewall in explicit form. It is installed at exactly the point where the explanatory PSR engine would otherwise harden contingent truths into necessary ones. And it takes the characteristic shape: not a denial that explanation succeeds, but a distinction introduced to prevent that success from propagating modal status across a boundary.

What makes Leibniz such a useful bridge is that his problem is no longer theological in any essential way. Strip away God and the best of all possible worlds, and the underlying structure remains: when explanatory relations hold necessarily, and when the explanatory source is itself necessary, the explained threatens to inherit necessity. That is not a problem about divine will or providence. It is a problem about explanation, necessity, and how they interact. The same structure reappears, in secular dress, wherever contemporary metaphysics deploys grounding, essence, or modal logic.

Grounding: Explanation with a Kill Switch

Grounding presents itself as an especially ambitious mode of metaphysical explanation: derivative reality is intelligible through the more fundamental. But if grounding is genuinely explanatory and holds with necessity, whatever is grounded begins to inherit the modal profile of what grounds it. At scale, a world articulated by grounding threatens to become one where modal slack has been squeezed out of derivative domains.

The response among grounding theorists is rarely to deny that grounding explains. What changes are the restrictions on what grounding is allowed to imply. Some deny it transmits necessity; some distinguish grounding explanation from modal explanation; some multiply kinds of ground. These moves may have independent motivations. The structural point is that they cluster where grounding threatens to do too much. Grounding is not curtailed because it ceases to illuminate. It is curtailed because, left unqualified, it threatens to harden modal space.

It is, in that sense, explanation with a kill switch.

The reversibility test sharpens the point. Would grounding theorists feel the same need to distinguish grounding from modal inheritance if grounding did not threaten to transmit modal profile from base to derivative? The pressure to introduce these distinctions clearly intensifies where grounding begins to look metaphysically totalizing. That is enough to shift the burden.

(How Contemporary Metaphysics Concocts Slack)

Essence: The Quietest Firewall

If grounding’s terminus looks exposed, essence offers a way to make it appear less brute. Essences can underwrite grounding’s asymmetry while also supporting modal explanation more generally. What is possible or necessary is so because of the essential nature of things.

But that just relocates the pressure. If essence explains necessity, one can ask why these essences rather than others. The familiar response is that “why this essence?” is simply the wrong sort of question.

Sometimes that may be right. But structurally the pattern is familiar: explanation is generously permitted up to the level of essence, and then the boundary hardens at exactly the point where continuation would destabilize the terminus doing the modal work. Essence is the quietest firewall. It does not announce itself as protective. It looks like the natural shape of the subject matter. That is precisely why it matters.

Modal Collapse and the Explicit Firewall

Everything above involved firewalls that were at least partly implicit. Reactions to modal collapse bring the pattern into a different light. Here the firewall becomes explicit.

Collapse is what happens when necessity is allowed to propagate too far. The clearest case is Gödel’s ontological proof. Gödel defines God as a being possessing all positive properties and, working in a higher-order modal logic, derives the necessary existence of such a being. The proof is valid. The problem — from the standpoint of nearly every commentator — is what else it entails. Sobel showed in 1987 that Gödel’s axioms yield modal collapse: every truth turns out to be a necessary truth. If God necessarily exists and necessarily possesses all positive properties, and if the system permits property abstraction of the relevant kind, then every actual state of affairs inherits necessity. Nothing could have been otherwise.

What matters for the present framework is the reaction. Sobel does not treat this as an unsettling but potentially revealing result about the structure of modal reality. He treats it as a refutation. The system must be flawed, he concludes, because it leads to necessitarianism. The conclusion is not assessed on its philosophical merits. It is declared intolerable in advance. Modal collapse functions not as a discovery but as a diagnostic — a sign that some axiom needs to be revised so that the result cannot go through.

The subsequent literature confirms the pattern. Benzmüller and Woltzenlogel Paleo’s automated verification of Gödel’s proof is revealing not merely because it confirmed Sobel’s collapse result computationally, but because it maps with formal precision the points at which the derivation must be interrupted if collapse is to be avoided. Anderson, Fitting, and others have proposed modified axiom sets designed to preserve as much of Gödel’s structure as possible while blocking exactly the step that generates global necessity. The engineering is precise and targeted. It is not a wholesale rejection of the proof’s framework. It is a surgical intervention at the point where necessity would propagate beyond its intended home.

That reactive character is what makes modal collapse the natural culmination of the post’s arc. Aquinas’s cutoff is a first-order commitment that also performs modal work. Essentialist primitivity is presented as a metaphysical insight into whatness. Collapse-avoiding revisions in formal modal settings are harder to portray as innocent reports about the nature of the subject matter. They arise at the precise point of derivational pressure and are tailored to it. The timing is too exact, and the calibration too fine-grained, for the protective function to remain obscure.

This is the case where the firewall becomes explicit enough to illuminate the rest.

The Shape of the Contest

What follows from all this?

Metaphysical disagreement is often misdescribed when framed solely as disagreement about first-order modal status. Again and again, the decisive question turns out to be whether explanation may continue once its success begins to harden modal space.

Aquinas’s appeal to will, Molina’s appeal to middle knowledge, Leibniz’s moral/metaphysical distinction, grounding-theoretic qualification, essentialist refusal of “why this essence?,” and collapse-avoiding formal revisions are not wholly local maneuvers from unrelated subfields. They exhibit a common structure. Explanation is welcomed where it illuminates local dependence and restrained where its continuation would align modal profiles across a protected boundary. What differs is the location of restraint, the vocabulary of defense, and the kind of modal surplus being preserved.

The framework does not settle every case automatically. Some stopping points may be genuinely earned. The point is more modest and more durable: it shifts the burden. Once stopping rules cluster at modal pressure points, it is no longer enough to announce that explanation ends here. One must show why it ends for explanatory reasons rather than protective ones.

The contest, then, is not between innocent contingency and revisionary necessity. It is between two pictures of explanation. On one, explanation forms a single space of reasons whose reach is determined by intelligibility, and fragmentation requires justification. On the other, explanatory reasons divide exactly where modality does, and the pattern is accepted as primitive.

Sometimes metaphysics stops explanation not where it fails, but where it becomes too successful.

Branching Actualism as a Modal Firewall

Necessity, Shadow of Reason

Standard
Ontology

Modal Firewalls: How Contemporary Metaphysics Manufactures Slack

Why theories of explanation stop where necessity begins.

Contemporary metaphysics prides itself on explanation. We are encouraged to ask what depends on what, what grounds what, what explains what—and to keep climbing until the structure of reality comes into view. But something curious happens as that ascent continues. Again and again, explanation is welcomed right up to the point where it would begin to suggest necessity. At that moment, the climb stops.

These stopping points are not accidental. They recur across otherwise very different theories, and they appear in strikingly similar places. Explanation is allowed to run—sometimes impressively far—so long as it does not threaten contingency. When it does, constraints quietly appear. I call these constraints modal firewalls: principled-sounding limits on explanation that permit local intelligibility while preventing explanatory ascent from spilling over into necessity.

These firewalls shape vast regions of contemporary philosophy. They don’t just mark the limits of explanation; they reveal where the discipline becomes strategically protective. And the question is whether those limits are principled—or simply installed to keep necessity at bay.

Grounding: Explanation with a Controlled Burn

No contemporary tool has shaped metaphysics more than grounding. It promises dependence without reduction, explanation without elimination, structure without collapse. And it offers one of the cleanest illustrations of firewall logic.

The basic picture is familiar: some facts obtain in virtue of others. A set exists in virtue of its members; a disjunction is true in virtue of a true disjunct; an act is wrong (perhaps) in virtue of harm or lack of consent. So far, grounding behaves exactly as advertised.

The tension appears when we ask how far grounding extends.

If grounding is unrestricted, explanatory ascent becomes hard to contain. Once the base is fixed, explanation propagates upward—and with it, modality. Necessary grounds yield necessary grounded facts. Iterate the structure, and necessity spreads like fire through dry brush.

This is the moment grounding theory reaches for the firebreak.

We are told that grounding must be restricted. It bottoms out. It is asymmetric. It does not range across all domains. It does not ground everything that looks groundable. Crucially, these limits are not themselves grounded or explained by the relata. They are imposed to preserve a desired modal profile—to stop the spread.

This is not a complaint about any particular theorist. It is a structural observation. Grounding is permitted to burn hot within carefully cleared perimeters, but when it threatens to carry us from intelligibility into necessity, the line is drawn.

That is why grounding is the paradigmatic modern firewall: explicitly explanatory, explicitly metaphysical, and explicitly curtailed for modal reasons.

(Representative figures include Kit Fine, Jonathan Schaffer, and Shamik Dasgupta.)

Essence: Explanation That Must Not Explain Itself

Essence is often presented as grounding’s metaphysical backbone. Where grounding explains dependence, essence explains necessity. A thing has the modal profile it does because of what it is.

This looks like genuine explanatory progress—up to a point.

Essence is allowed to tell us why certain facts are necessary: why Socrates is necessarily human, why water is necessarily H₂O, why some identities could not have failed. But the moment we ask the next question—why this essence rather than another—the ladder is pulled away.

Essences, we are told, are not explained. They are not grounded. They are not fixed by anything deeper. To demand an explanation of an essence is, on this view, to misunderstand the very idea of essence.

This is not an accidental silence. It is a deliberate stopping rule. If essences themselves were open to explanation, modal ascent would resume: the explanation of an essence would inherit modal force, and the pressure toward necessity would reappear at a higher level.

Essence thus functions as an explanatory stop‑sign. It secures necessity, but it must not itself be explained. The firewall is clean, principled‑sounding, and structurally indispensable for anyone who wants contingency preserved at the level of kinds and individuals.

Normative Autonomy: A Softer Firewall

In contemporary metaethics—especially among non-naturalists—it is standard to insist on the autonomy of the normative. Normative facts are explained by reasons, not by natural or metaphysical facts. What one ought to do is determined by reasons; what reasons there are is not settled by physics, chemistry, or ontology.

This autonomy is often motivated by familiar considerations. Even if all the natural facts are fixed—who suffered, who consented, who benefited—it can still seem an open question whether an action was wrong. Moral properties are therefore taken to resist reduction to natural or metaphysical ones.

So far, this may sound like a familiar dialectical stalemate. But the explanatory structure deserves closer attention.

Consider a simple case. An action causes intense, unnecessary suffering to a conscious being. Most moral theories agree that this fact counts strongly against the action. But now ask the next question: why does suffering generate reasons at all? Why does it have normative force rather than merely describing a state of the world?

At this point, explanation reliably stops. We are told that suffering just is reason-giving, or that normativity is sui generis, or that reasons are primitive features of practical reality. Attempts to explain normative force in terms of metaphysical structure, rational agency, or the nature of value are treated with suspicion—often dismissed as category mistakes.

This is not because such explanations are incoherent. It is because allowing them would invite explanatory unification across domains. If facts about suffering had their normative force in virtue of deeper metaphysical facts, then normative necessity would begin to track metaphysical necessity. The space between “how things are” and “how one ought to act” would narrow.

Normative autonomy functions here as a firewall. It permits rich internal explanation—reasons explain obligations, values explain reasons—while blocking explanatory ascent into metaphysics or ontology. The restriction is not arbitrary, but it is strategic. It preserves the distinctness of the normative domain by preventing necessity from spreading across it.

Unlike grounding or essence, this firewall is rhetorically gentle. It presents itself as respect rather than restraint. But structurally, it serves the same role: explanation is allowed to operate, but only so far as it does not threaten modal unification.

Primitive Modality: The Firewall Without Apology

Some philosophers dispense with all explanatory machinery and say, simply: modality is primitive. Necessity and possibility are basic features of reality. They do not require explanation.

This view—associated with figures like Timothy Williamson—is often presented as anti‑reductionist and theoretically modest. But in the present context, its significance is different.

Primitive modality is the most forthright firewall available. It does not suggest that explanation almost continues but must be stopped. It denies that explanatory ascent even begins. Modal structure is taken as given. Full stop.

The virtue of this stance is its honesty. The cost is bruteness. Why these modal facts rather than others? Why this logic, this accessibility relation, this space of possibilities? There is no answer—and the view insists that none is needed.

If unexplained modality already feels acceptable, this will seem unproblematic. But it is a paradigmatic case of explanation being blocked at the base to prevent further questions from arising.

Laws of Nature: Contingency at the Base of Physics

A parallel structure appears in philosophy of science.

On Humean views, laws of nature do not govern the world; they summarize patterns in the distribution of particular facts. The laws could have been otherwise because the mosaic could have been otherwise.

This secures contingency at the fundamental level. Even a complete account of the actual laws does not explain why those laws obtain rather than others.

But this result is purchased by treating the base distribution of qualities as brute. There is no explanation of why the mosaic has the structure it does—any such explanation would threaten to propagate modal force upward.

Once again, explanation is permitted locally—laws explain counterfactuals—but prohibited globally. The firewall preserves contingency by denying that explanation can reach the base.

The Contingentist’s Best Reply

At this point, a sophisticated contingentist will object.

Of course explanation has limits. Demanding that everything be explained is itself a substantive metaphysical commitment—often associated with the Principle of Sufficient Reason. One can reject that commitment without inconsistency. Explanation ends where it ends. There is no obligation to keep pushing, and no reason to treat unexplained stopping points as philosophically suspect by default.

This is a serious reply, and it deserves to be taken seriously.

Contingentists do not reject explanation wholesale. On the contrary, they rely on it extensively. Grounding is invoked to illuminate dependence, essence to explain modal profiles, laws to support counterfactuals, and reasons to structure normativity. Explanation is not treated as a fragile practice that must be carefully rationed. It is allowed to run—often aggressively—when it delivers intelligibility without threatening core commitments.

Nowhere is this clearer than in the natural sciences. Few philosophers resist explanatory descent from chemistry to physics, or from thermodynamics to microstructure. We routinely explain why chemical regularities hold by appeal to molecular structure, why macroscopic behavior emerges by appeal to underlying distributions, and why apparent alternatives disappear once deeper structure is revealed. These explanations are welcomed even when they eliminate intuitive possibilities. No one insists that chemical laws must remain explanatorily autonomous lest they collapse into physical necessity. The explanatory ascent is permitted to continue precisely because no threat of modal collapse is perceived.

What distinguishes the earlier cases is not a general discomfort with explanation, but the specific fact that further explanation would begin to align necessity across domains. Grounding is curtailed when it would transmit necessity upward. Essence is declared inexplicable when explaining it would threaten contingency. Normativity is insulated when metaphysical explanation would collapse moral necessity into metaphysical necessity. Primitive modality is invoked when further explanation would reopen the ascent entirely.

The stopping points are therefore not random. They cluster at precisely those locations where explanation would begin to erode modal slack. This does not show that the stopping points are illegitimate. But it does undermine the idea that they are merely neutral denials of explanatory ambition. They look instead like targeted restraints—introduced not because explanation has gone too far in general, but because it has begun to point in a particular direction.

That is where the real dialectical pressure lies.

Connecting the Dots

Modal firewalls are not philosophical mistakes. They are pressure points—places where our explanatory practices strain against a background commitment to contingency. They reveal how much of contemporary metaphysics is already organized around allowing explanation to proceed up to necessity, and no further.

Recognizing this does not by itself refute contingentism. But it reframes the debate. If explanation is already trusted across domains whenever it increases intelligibility, then resistance at the point where necessity comes into view requires special justification. Appeals to autonomy, primitivity, or brute stopping points may be defensible—but they are not cost-free. They represent decisions about where explanation must be halted, and why.

Arguments for necessitarianism do not impose alien standards on metaphysics. They ask us to take our existing explanatory ambitions seriously, and to follow them without installing outcome-driven restraints. Whether one ultimately accepts that invitation remains an open question. But the terrain on which the question is decided looks different once the firewalls come into view.

Parmenides is not refuted. He is managed.


Related Essays

Ancient Modal Firewalls

Aquinas and the Modal Firewall

Middle Knowledge: Anatomy of a Modal Firewall

Standard
Ontology, philosophy

Aquinas and the Modal Firewall

Arthur Lovejoy’s The Great Chain of Being is often read as a history of metaphysical exuberance: plenitude, overflow, and the slow erosion of contingency under explanatory pressure. What’s easier to miss is that Lovejoy also gives us a sharp diagnostic lens for understanding how philosophers attempt to contain that pressure.

What that lens reveals is a recurring structural move. I call it a modal firewall.

A modal firewall is a principled restriction on explanatory reach: a point at which intelligible reasons are permitted to explain structure, value, or possibility, but are forbidden from determining actuality. The firewall does not reject explanation. It commands it, then tells it where it must stop.

Seen through this lens, Thomas Aquinas becomes a revealing case—not because he invents the maneuver, but because Lovejoy’s framing makes its structure unusually clear.

The pressure Aquinas accepts

Lovejoy emphasizes that Aquinas fully accepts the rationalist pressures that make necessitarianism tempting. God is pure actuality. God is perfect goodness. God’s intellect contains the complete intelligible structure of all possible beings. Explanation is not optional; it is constitutive of intelligibility itself.

Given that package, a familiar question presses itself: if goodness is fully intelligible, why would a perfectly good being fail to actualize what is good? Why would possibility outrun actuality?

This is not yet Spinoza speaking. It is the pressure Aquinas must confront before Spinoza radicalizes it.

Crucially, Aquinas does not respond by weakening explanation. He does not appeal to mystery, opacity, or brute divine choice. God’s intellect remains exhaustive; reasons remain reasons. The pressure toward necessity is fully in place.

The firewall: divine will as modal cutoff

Aquinas’s response is not to deny the pressure but to block its extension.

Although God necessarily knows all possibles and their relative perfections, God does not necessarily will any of them. Creation is therefore not a logical consequence of divine nature but a contingent act of volition. God could have created a different world, or no world at all.

This is the firewall.

Explanatory reasons may explain what creatures are like, if they exist. They may explain why creation would be fitting or good. But they are not permitted to explain that creation occurs, or why this possible world is actual rather than another. At precisely that juncture, explanation is told where it must stop.

For a rationalist, this is the most uncomfortable possible outcome. Explanation is not refuted; it is obeyed everywhere except where obedience would eliminate contingency. The firewall does not emerge from explanation; it is imposed upon it.

Leibniz rationalizes plenitude; Spinoza completes it

This is where Lovejoy’s tripartite schema earns its keep.

To say that Leibniz rationalizes plenitude is to say that he removes Aquinas’s firewall while preserving contingency in name. God necessarily acts for sufficient reason, but contingency is relocated into the structure of reasons themselves. Different possible worlds are intelligible; God freely selects the best among them. Plenitude is no longer blocked. It is disciplined by optimization.

Spinoza, by contrast, refuses the remaining distinction. If God’s nature explains everything that exists, then nothing could have been otherwise. Possibility collapses into actuality. There is no selection among alternatives because there are no genuine alternatives to select among.

Where Leibniz preserves contingency by complicating reason, Spinoza abolishes it by allowing reason to run without remainder.

In Lovejoy’s narrative: Aquinas contains plenitude by prohibition; Leibniz rationalizes it through sufficient reason and optimality; Spinoza completes it by removing the prohibition altogether.

Lovejoy’s diagnostic contribution

It would be a mistake to claim that Aquinas invents this maneuver. Voluntarist strategies of this sort have deep roots, including in Islamic theology and medieval debates about divine freedom. What Lovejoy contributes is not a genealogy of voluntarism but a structural diagnosis: he shows how Aquinas’s appeal to divine will functions as a targeted containment strategy within an otherwise rationalist framework.

This matters, because not all appeals to will stand in the same relation to reason. An occasionalist denial of secondary causation, for example, may dismantle the explanatory machinery itself rather than merely restricting its scope. Aquinas’s strategy is different. He preserves explanation almost everywhere. That’s what makes the firewall both powerful and philosophically unstable.

Seen through Lovejoy’s lens, Aquinas is not someone who rejects necessitarian pressure, but someone who cordons it off. Contingency survives only because explanation is commanded to halt at a specific boundary.

And once that boundary is made visible, a further question becomes unavoidable: What justifies telling explanation where it must stop?

That question, Lovejoy suggests without fully pressing, will not remain contained.


Ancient Modal Firewalls

The Modal Firewall Around Gödel

Standard
Schrodinger's Dachshund

Shaftori and the MOAN

A Modal Ontological Argument for Necessitarianism and its Mystical Origin

Late last year Petronius Jablonski experienced Shaftori: Enlightenment from the 45 RPM of Isaac Hayes’ “Shaft” played at 33 RPM. Like Parmenides’ descent to the halls of Night, his journey was part metaphysical reasoning and part mystical initiation. The stone-cold groove reduced him to a nanoscopic seahorse adrift in a measureless mega-fractal, absurd and sacred, tiny beyond reckoning yet somehow required, a necessary syllable in an infinite and pitiless scripture.

He returned with original and definitive proof of Necessitarianism: the thesis that whatever is true couldn’t have been otherwise, that nothing about reality could have been different in any way whatsoever. The result vindicates Necessitarianism and proves that he, like Parmenides, has been behind the veil.

In the structure of the Mandelbrot set there’s a region where the filaments branch into forms that look distinctly like little seahorses. Mathematicians call it the Seahorse Valley. Zoom-ins show repeating spirals whose shapes resemble the curled tails and bodies of seahorses.

Note well: this is not the work of some brilliant mathematician lovingly designing seahorses. This is a necessary feature of the Mandelbrot set with no contingency or design at all. Why does it exist? It couldn’t not exist and there’s an end of it.

Jablonski’s epiphany is that all reality is like this. And he can prove it.

Standard
Schrodinger's Dachshund

Beyond the Metaphysical Middlemen

A Rationalist Case for Absolute Monism

From Plotinus to classical theism to Spinoza, philosophers have posited a supreme metaphysical entity—the One, God, or Substance—to ground reality and explain existence. This post argues that the very distinctions these systems depend upon collapse under sustained rationalist scrutiny. By applying the Principle of Sufficient Reason (PSR) rigorously, I demonstrate that all three major frameworks—Plotinian emanation, Spinozistic necessitarianism, and Thomistic theism—contain fatal explanatory gaps. The only position that survives this collapse is monism: reality is necessary and one, without intermediary beings, divine personhood, metaphysical hierarchy or modal hooey. What remains is not God, but simply what is.

I. Mapping the Metaphysical Landscape

Before dismantling these systems, we must understand their architecture. Consider three major positions on a spectrum of explanatory density:

Plotinus’ One — beyond being, beyond intellect, overflowing without self-determination.

Classical Theistic God — metaphysically non-composite, timeless, immutable, impassable, and freely creating.

Spinoza’s God — absolutely infinite substance determined solely by its own essence; nature is necessity.

The tensions lie in how each answers (or refuses to answer) the rationalist’s question: ‘In virtue of what?’

1.1 Ontological Status: Being, Beyond-Being, or the Only Being

Plotinus’ One — literally not a being, not even an entity. Radically simple: no internal structure, no attributes, no parts, no thought. All positive description is metaphor; the One is what the intellect sees when it stops trying to articulate. The One is uncaused, not by necessity but by transcendence.

Classical Theistic God — a supreme being, perfect, personal, omniscient, omnipotent. God has attributes (even if simple in scholastic metaphysics). God wills, knows, loves, judges; creation is a free act. God is both intellect and will.

Spinoza’s God — being itself, the one infinite substance with infinite attributes. Not a person; not a transcendent source; not outside the world. Nature equals God equals the necessary structure of reality. All distinction collapses into modes of the one substance.

Comparative snapshot: Plotinus offers the beyond; classical theism offers a supreme being; Spinoza offers the only being.

1.2 Causation: Emanation, Volition, or Necessity

Plotinus — causation is emanation: the One overflows into Intellect, which overflows into Soul. The One cannot do otherwise, but not because of inner necessity; more like metaphysical pressure.

Classical Theism — causation is free creation ex nihilo. God might have chosen otherwise; creation is not necessary.

Spinoza — causation is strict necessity: from the necessity of the divine nature infinite things follow. No choice, no contingency.

Thus we have: Plotinus offering spillage, theism offering choice, and Spinoza offering necessitation.

1.3 Intelligibility Under PSR Pressure

Here the Parmenidean lens does its devastating work.

Plotinus — The One is beyond intelligibility. You cannot say why the One emanates; you cannot even say why it is what it is. This violates the strong PSR: the One is precisely the sort of brute posit the rationalist cannot allow.

Classical Theism — God freely chooses creation, freely wills certain goods, freely permits evil. Each free decision creates pockets of brute contingency. The rationalist asks: In virtue of what does God choose this world rather than another? No answer preserves classical divine freedom without violating PSR. Result: classical theism stands on voluntarist bruteness.

Spinoza — Spinoza preserves the PSR absolutely. No brute facts, no free divine choices, no transcendent will. God is the necessity of being itself. Result: maximal intelligibility.

Summary: Plotinus fails rationalist intelligibility (beyond being and explanation); theism fails it (arbitrary divine free will); Spinoza appears to satisfy it (necessity all the way down).

But does Spinoza survive deeper scrutiny? (“Proofs of God’s Existence? Paging Spinoza! And why not even he can help you.”)

II. The Positive Case: Why Bare Monism Surpasses All Middle-Beings

Now we proceed to the core argument. Why add a special metaphysical entity—Plotinus’ One, Spinoza’s God, or classical theism’s Pure Act—when you can have the explanatory power without the metaphysical inflation? This section presents eight independent arguments for bare monism over any divine intermediary.

2.1 The PSR Eliminates All Distinctions—Including God

The most devastating argument comes from applying the PSR consistently. If every distinction requires an explanation, then the distinction between God and world, between God’s essence and activity, between modes and substance, between the One and its emanations, between Pure Act and creation—each needs justification. But any justification introduces more distinctions, requiring further justification. This is Bradley’s regress applied to theology.

The only stable resting point is no distinctions at all. That means no God/world distinction, no intellect/extension distinction, no essence/existence distinction, no emanation hierarchy. Once all distinctions collapse, what is left? Just Being as such, full stop.

Plotinus tries to resolve the regress by pushing the One beyond being, making it uninterpretable. Spinoza tries to resolve it by allowing infinite attributes. Classical theism tries with negative theology and divine simplicity. All fail because distinction itself is the problem. The PSR favors pure monism over any conception of God.

2.2 Explanatory Economy: Any God Adds Mystery Rather Than Removing It

Plotinus adds a One that we cannot describe but which somehow emanates Nous and Soul. Spinoza adds a God with infinite attributes, only two of which humans know. Classical theism adds a pure act that is totally simple yet somehow contains intellect, will, and the ground of all modal truths. All three introduce highly specific, explanatory-heavy, ontologically ambitious entities.

But none of these entities explains anything that bare monism does not already explain. If the question is ‘Why is there something rather than nothing?’, the honest answer is: Because there cannot be nothing. The existence of being requires no explanation; nonbeing does. To add a God is to duplicate necessity: necessary being (God) plus the necessary existence of that being. Whereas pure monism says: Being is necessary; nothing else exists to explain. No additional entity is needed.

2.3 The Problem of Explanatory Elites

Every divine monism contains the same hidden assumption: there must be one special kind of thing that grounds everything else. But introducing a special category, a metaphysical elite, is inherently unstable under the PSR. Why should the One have the power to cause Nous? Why should Spinoza’s Substance have infinite attributes rather than one? Why should pure actuality have the will to create anything? Each of these attributes is unshared, primitive, unexplained. They violate the very explanatory scruples they seek to defend.

Pure monism says: there is no metaphysical aristocracy, no special status, no elite being. Just what is, without hierarchy. This is the most stable position from an anti-arbitrariness standpoint.

2.4 The Metaphysical Middleman Is Illusion

Consider each supposed function of God:

Unity/Explanation: Does God unify things? No more than monism itself does.

Necessity: Is God supposed to be the necessary ground? But necessity does not require a bearer. It simply means: cannot be otherwise.

Causation: Is God needed as cause? In a monistic system, cause is just the structure of being itself.

Order/Rationality: Is God needed as architect? No more than geometry needs a designer.

Value/Goodness: Plotinus and Aquinas load the Absolute with normative weight. But monism says: value is a projection; being is neutral.

What God is supposed to do, monism does.

2.5 God Is Just a Hypostatization of Necessity

At bottom: Plotinus’ One equals unity, Spinoza’s God equals necessity, classical theism’s God equals pure actuality. All three equal the necessary structure of reality. But then why anthropomorphize necessity? Why personify unity? Why not say directly: Reality is necessarily one. Period.

Everything else is mythologizing necessity. God is the reification of an abstraction. Necessity itself does not need to be pinned on an entity.

2.6 Why Philosophers Keep Inventing the Middle-Being

Why do even rigorous rationalists insert a metaphysical middle-being when their systems do not need it? Several explanations present themselves:

Fear of Metaphysical Nakedness: Bare monism is austere and offers no comfort: no higher being, no metaphysical parent, no intelligence behind order, no source of meaning, no providence. Even rationalists hesitate to say: Reality just is. It explains itself. There is nothing above it or below.

Cognitive Bias for Hierarchy: Human cognition loves levels, order, higher and lower beings, top-down explanations. Bare monism abolishes hierarchy. That feels unintuitive, even threatening. So philosophers construct the One to Nous to Soul, Substance to Attributes to Modes, God to Angels to Creatures. These are comfort structures, not necessities of reason.

The Desire for a Terminus That Is Like Us: Plotinus’ One is beyond mind but still good. Spinoza’s God thinks. Classical theism’s God thinks, wills, loves. These are projections of human categories upward, because we subconsciously want the universe to be conscious, order to be intentional, existence to be meaningful. Bare monism refuses this anthropocentric impulse.

The Rhetorical Power of the Divine Label: Calling the Absolute ‘God’ buys cultural legitimacy, emotional resonance, philosophical gravitas. But the label is linguistic camouflage disguising the fact that the work is done by necessity, not by a divine agent.

2.7 Bare Monism Avoids All Classical Problems

There is no need to solve divine simplicity paradoxes, divine freedom paradoxes, the emanation hierarchy, the problem of evil, the will/knowledge/intellect compatibility problems, modal collapse objections, contingency versus necessity, or the relation between attributes and substance. Bare monism eliminates all of them. Why? Because it eliminates the middle-being. There is no metaphysical manager. Just reality.

2.8 Conclusion of the Positive Case

If you accept the PSR, anti-arbitrariness, rejection of brute facts, intelligibility, and necessity, then the simplest and least metaphysically baroque view is this: There is one necessary reality. It has no distinctions. It is not a being—it is Being. It is not God—it is what there is.

Plotinus, Spinoza, and classical theism all carry unnecessary metaphysical baggage: divine names, hypostatic structures, privileged entities. The cleanest version is the one that survives the Parmenidean ascent: Reality is necessary and one. There is nothing else to explain. Adding God is metaphysical ornamentation.

III. The Formal Reductio: Why God Is Incoherent Under the PSR

This section presents a formal proof showing that the very concept of God is incompatible with the PSR. This reductio is neutral between classical theism’s God, Spinoza’s God, and Plotinus’ One. It refutes all of them.

3.1 Definitions and Setup

Let PSR be the principle that every fact F has a complete explanation. Let D be the divine being (One, God, or Substance). Let W be the world (finite beings, modes, emanations, etc.). Let Dist(X, Y) mean X is really distinct from Y (not identical).

Assume that D exists and is distinct from W, as all three systems claim in some form: Plotinus through absolute transcendence, Spinoza through the substance/mode distinction, and classical theism through the creator/creation distinction.

3.2 The Reductio Argument

Premise 1: If Dist(D, W), then the distinction must have an explanation (by PSR).

Premise 2: The explanation of Dist(D, W) must be either internal to D or external to D. There are no other options.

Case A: Explanation Is Internal to D

Suppose the distinction arises from D’s internal nature. Then D’s internal nature includes differentiation: some aspect A explains why D is not equal to W. But if D has internal differentiation, then D is composite. If D is composite, D is not simple. If D is not simple, D is not the One, not Pure Act, not Substance. Contradiction.

Thus D cannot internally explain its distinction from W. (For Plotinus, the One cannot contain distinctions; for Spinoza, substance has no internal differentiation; for classical theism, God has no internal composition.)

Case B: Explanation Is External to D

Suppose the distinction between D and W is explained by something outside D. Then some entity E, distinct from D, explains Dist(D, W). But then D is not the ultimate explanation. Therefore D is not divine (not the One, not Pure Act, not the fundament of being). Contradiction.

Thus D cannot externally explain the distinction either.

3.3 The Devastating Conclusion

The distinction between D and W cannot be explained internally (violates simplicity) or externally (violates ultimacy). Therefore Dist(D, W) violates PSR and is impossible.

Thus: Either D equals W (Spinoza’s immanent collapse), or both D and W collapse into something more basic (Parmenidean monism), or there is no D distinct from W (bare monism/bare necessity).

But if D equals W, then the term ‘God’ does no metaphysical work. It adds no distinctions (forbidden under Case A). It adds no explanatory power (forbidden under Case B). It introduces misleading conceptual baggage.

Therefore: The concept ‘God’ is explanatorily redundant and PSR-incoherent. The only consistent position is bare monism/bare necessity.

What Remains After the Collapse

We have traced the rationalist’s path through three major metaphysical systems. Plotinus offers the One beyond being, but this transcendence purchases explanatory power at the cost of intelligibility—the One becomes a brute posit, violating the very demand for reasons it was meant to satisfy. Classical theism offers a personal God whose free will creates the world, but this freedom introduces arbitrary divine choices that cannot be explained without destroying the freedom itself. Spinoza comes closest to rationalist purity by eliminating divine will and embracing necessity, yet even Spinoza’s distinction between substance and modes, between infinite attributes and their expressions, cannot withstand sustained PSR scrutiny.

The formal reductio demonstrates this with precision: any distinct divine being, whether transcendent or immanent, whether personal or structural, cannot explain its distinction from the world without either becoming composite (losing simplicity) or depending on something external (losing ultimacy). Either horn of the dilemma proves fatal.

What survives this collapse? Not a divine being, not a One, not even Spinoza’s God. What survives is simply this: Reality is necessary. Reality is one. There is nothing else to explain because nothing else exists to do the explaining. Necessity requires no bearer, unity needs no unifier, being demands no ground beyond itself.

This is bare monism—monism without magic, necessity without necessitator, unity without metaphysical manager. It is the position that all rationalist systems approach but fail to reach, held back by residual anthropomorphism, theological inheritance, or the simple human desire to find consciousness at the foundation of things.

The concept of God, in all its philosophical forms, turns out to be an elaborate way of saying: things are as they must be. Once we recognize this, we can dispense with the intermediary and state the truth directly. There is what is. That is all. That is enough.

Bibliography

Aquinas, Thomas. Summa Theologiae. Translated by Fathers of the English Dominican Province. Benziger Bros., 1947.

Bradley, F. H. Appearance and Reality: A Metaphysical Essay. 2nd ed. Oxford University Press, 1897.

Curley, Edwin, and Gregory Walski. “Spinoza’s Necessitarianism Reconsidered.” In New Essays on the Rationalists, edited by Rocco J. Gennaro and Charles Huenemann, 241–262. Oxford University Press, 1999.

Della Rocca, Michael. The Parmenidean Ascent. Oxford University Press, 2020.

— “PSR.” Philosophers’ Imprint 10, no. 7 (2010): 1–13.

—”Rationalism Run Amok: Representation and the Reality of Emotions in Spinoza.” In Interpreting Spinoza: Critical Essays, edited by Charlie Huenemann, 26–52. Cambridge University Press, 2008.

Feser, Edward. Five Proofs of the Existence of God. Ignatius Press, 2017.

— Scholastic Metaphysics: A Contemporary Introduction. Editiones Scholasticae, 2014.

Gerson, Lloyd P. Plotinus. Routledge, 1994.

Jablonski, Petronius. “Proofs of God’s Existence? Paging Spinoza!“

Kretzmann, Norman, and Eleonore Stump, eds. The Cambridge Companion to Aquinas. Cambridge University Press, 1993.

Leibniz, G. W. Philosophical Essays. Translated and edited by Roger Ariew and Daniel Garber. Hackett Publishing, 1989.

Melamed, Yitzhak Y. “Spinoza’s Metaphysics of Substance: The Substance-Mode Relation as a Relation of Inherence and Predication.” Philosophy and Phenomenological Research 78, no. 1 (2009): 17–82.

Parmenides. “On Nature.” In The Presocratic Philosophers, edited by G. S. Kirk, J. E. Raven, and M. Schofield, 239–262. 2nd ed. Cambridge University Press, 1983.

Plotinus. The Enneads. Translated by Stephen MacKenna, abridged with introduction and notes by John Dillon. Penguin Books, 1991.

Pruss, Alexander R. The Principle of Sufficient Reason: A Reassessment. Cambridge University Press, 2006.

Schaffer, Jonathan. “Monism: The Priority of the Whole.” Philosophical Review 119, no. 1 (2010): 31–76.

Spinoza, Baruch. Ethics. Translated by Edwin Curley. In The Collected Works of Spinoza, vol. 1, edited by Edwin Curley. Princeton University Press, 1985.

— Theological-Political Treatise. Translated by Jonathan Israel and Michael Silverthorne. Cambridge University Press, 2007.

Stump, Eleonore. Aquinas. Routledge, 2003.


Standard
Schrodinger's Dachshund

The Modal Self-Vindication of Necessitarianism

Is Necessitarianism true in some possible worlds, but false in others?

This Substack post presents a novel transcendental argument for necessitarianism—the thesis that all truths are necessary truths. The argument proceeds by demonstrating that any coherent modal evaluation of necessitarianism’s own modal status generates a dialectical structure that vindicates necessitarianism itself. Specifically, I show that the standard possible-worlds framework for evaluating modal claims becomes incoherent or self-undermining when applied to necessitarianism, and that this incoherence provides evidence that the framework itself, rather than necessitarianism, is fundamentally mistaken. If successful, this argument suggests that necessitarianism may be the only metaphysically stable position regarding modality.

The Modal Ontological Argument for Necessitarianism (MOAN)

Standard
philosophy

Everything Is Necessary: A Modal Argument You Can’t Escape

How the ontological argument debate accidentally proved necessitarianism and why philosophers hate it

Nothing could have been different. Not your breakfast, not the outcome of World War I, not the gravitational constant, not your decision to read this sentence.

Everything that exists, exists necessarily.

This isn’t mysticism or eastern philosophy dressed up in western garb. It’s the rigorous conclusion of modal arguments that philosophers have been developing for half a century. They thought they were arguing about God’s existence. They were actually proving something far more fundamental—and more uncomfortable.

The evidence has been accumulating for decades: Sobel’s modal collapse results (1987), the intractable symmetry problems in Plantinga’s ontological argument, the inability to coherently maintain both the principle of sufficient reason (PSR) and contingency, the incoherence of divine freedom with divine necessity. Yet the philosophical establishment continues to treat necessitarianism as an embarrassing side effect to be eliminated rather than a conclusion to be taken seriously.

A handful of contemporary philosophers see the truth: Michael Della Rocca and Amy Karofsky defend necessitarianism, though they remain isolated voices. It’s time to make the case explicitly and systematically.

See why contingency is metaphysically impossible.


Part I: The Modal Ontological Argument—Valid Logic, Disputed Premises

The Argument’s Structure

For over fifty years, philosophers have wrestled with the modal ontological argument. Alvin Plantinga’s formulation (1974) remains the most influential:

  1. It is possible that a maximally great being exists
  2. If it is possible that a maximally great being exists, then a maximally great being exists in some possible world
  3. If a maximally great being exists in some possible world, then it exists in every possible world (by definition—maximal greatness includes necessary existence)
  4. If a maximally great being exists in every possible world, then it exists in the actual world
  5. Therefore, a maximally great being exists in the actual world

The formal version uses modal operators:

  • ◊□G (It’s possible that necessarily, God exists)
  • ◊□G → □G (In S5 modal logic)
  • ∴ □G (Therefore necessarily, God exists)
  • ∴ G (Therefore God exists in the actual world)

Why S5?

The argument requires S5 modal logic, which includes the axiom:

◊□P → □P

In S5, accessibility relations between possible worlds are reflexive, symmetric, and transitive. This means: if a proposition is necessary in any accessible world, it’s necessary in all accessible worlds—including the actual world.

Most philosophers accept S5 for metaphysical (as opposed to epistemic or deontic) modality. If you reject S5, you need to explain why metaphysical possibility shouldn’t be universal—why some possible worlds are “inaccessible” from ours in a metaphysically relevant sense.

The Decades-Long Stalemate

The argument’s validity is uncontested. The second premise follows from modal logic definitions. The inference rules are sound.

The entire debate concentrates on premise 1: Is a maximally great being possible?

Theists argue:

  • The concept involves no logical contradiction
  • We can coherently conceive of such a being
  • The burden is on atheists to show impossibility

Atheists argue:

  • Conceivability doesn’t guarantee possibility
  • The concept might involve hidden contradictions
  • The burden is on theists to establish positive possibility

Neither side has made decisive progress. The argument has remained in productive stalemate since Plantinga first formulated it.

Then the symmetry problem emerged.


Part II: The Symmetry Problem and Schmid’s Reverse Argument

The Reverse Modal Ontological Argument

In 2025, Joseph C. Schmid, along with Peter Fritz and Tien-Chun Lo, published “Symmetry Lost: A Modal Ontological Argument for Atheism?” in Noûs. The paper demonstrates that the ontological argument’s logic runs equally well in reverse:

  1. It is possible that God does not exist
  2. If it is possible that God does not exist, then God does not exist in some possible world
  3. If God does not exist in some possible world, then God does not exist in any possible world (if God exists at all, God exists necessarily; contrapositive: if God’s non-existence is possible, God’s existence is impossible)
  4. If God does not exist in any possible world, God does not exist in the actual world
  5. Therefore, God does not exist

Formally:

  • ◊¬G (Possibly, God doesn’t exist)
  • ◊¬G → □¬G (If possibly not-G, then necessarily not-G)
  • ∴ □¬G (Therefore necessarily not-G)
  • ∴ ¬G (Therefore not-G)

The Symmetry Problem

Both arguments have the same logical structure. Both have seemingly plausible possibility premises. Yet they reach contradictory conclusions.

This is the symmetry problem: the arguments are mirror images, equally (un)compelling. Any reason to believe premise 1 of the original argument seems to apply equally to premise 1 of the reverse argument.

Schmid’s Contribution

Schmid et al. argue that the reverse argument is actually stronger:

  1. Weaker logic required: The reverse argument is valid in S4, which doesn’t require the controversial S5 axiom that ◊□P → □P. In S4, you only need □(□P → P) and □(P → □◊P).
  2. Avoids recursive symmetry: The reverse argument doesn’t generate its own symmetry problem. You can’t run a “reverse reverse” argument that gets you back to theism without reintroducing the S5 axiom that the reverse argument avoids.
  3. Neo-Aristotelian support: Following suggestions from neo-Aristotelian metaphysics, if God exists, nothing could bring about God’s non-existence (God is indestructible). But if God doesn’t exist, nothing could bring about God’s existence either—including God himself (nothing can cause itself). The asymmetry: it’s more plausible that nothing can create God than that nothing can destroy God.

The Hunt for Symmetry Breakers

The philosophical community has generated dozens of attempted “symmetry breakers”—principles that would favor one possibility premise over the other:

  • Positive property principles (Anderson, Pruss)
  • Conceivability asymmetries (Plantinga)
  • Modal continuity principles (various)
  • Existential inertia (Oppy)
  • A posteriori modal knowledge (Collin)

None has achieved consensus. Schmid has systematically responded to each proposal, showing how “symmetry re-arises” in various forms.

But here’s what the entire debate has overlooked: both arguments are pointing toward the same conclusion, and it’s neither theism nor atheism.


Part III: The Modal Ontological Argument for Necessitarianism

The Argument

Let me formulate what appears to be a novel argument:

The Modal Ontological Argument for Necessitarianism (MOAN):

  1. ◊N (It is possible that necessitarianism is true)
  2. N → □N (If necessitarianism is true, then necessarily necessitarianism is true)
  3. ∴ □N (Therefore, necessitarianism is necessarily true)

Where N = “For all propositions p, if p is true, then □p” (everything true is necessarily true; there are no contingent truths)

Defense of Premise 1

Is necessitarianism at least conceivable? Can we form a coherent conception of a reality in which everything is necessary?

The historical record demonstrates that we can:

Parmenides (5th century BCE): Being is one, unchanging, and necessary. Apparent change and plurality are illusions of perception. What is, could not not be.

Spinoza (17th century): Arguably the most systematic necessitarian. In the Ethics, Spinoza argues that God (Nature) exists necessarily, and everything else flows necessarily from God’s nature. There are no contingent truths. Everything follows from the divine essence with “geometric necessity.”

Amy Karofsky’s A Case for Necessitarianism is a tour de force. Hear her discuss it to realize it’s not the lunacy its detractors imagine. This dialogue with Josh Rasmussen has a satori quality (he thought so too).

Michael Della Rocca has argued extensively that the Principle of Sufficient Reason, taken seriously, entails necessitarianism. In “PSR” (Philosophers’ Imprint, 2010) and his book The Parmenidean Ascent, Della Rocca demonstrates that any genuine explanation necessitates what it explains. Since PSR demands explanations for everything, everything is necessitated.

The position has a coherent logical structure, a distinguished historical pedigree, and contemporary philosophical defenders. Whatever else might be said about necessitarianism, it is clearly conceivable and not obviously incoherent.

That’s sufficient for premise 1. We need only one possible world where necessitarianism holds.

Defense of Premise 2: The Self-Necessitating Nature of Necessitarianism

This is the crucial premise, and it reveals why necessitarianism is unique among metaphysical theses.

Necessitarianism is a global modal claim. It asserts: “∀p(p → □p)”—for all propositions, if true, then necessarily true.

Now consider: Could this claim itself be contingently true?

It cannot. To see why, assume for contradiction:

  1. Necessitarianism is true (assume)
  2. Necessitarianism is contingently true (assume)
  3. Then there is some possible world w where necessitarianism is false
  4. In w, there exists at least one contingent truth
  5. But if necessitarianism is true (from 1), then in all worlds, all truths are necessary
  6. Contradiction between (4) and (5)

Therefore, necessitarianism cannot be contingently true.

Alternative formulation: If necessitarianism is true in world w, then in w, all truths are necessary. But “all truths are necessary” includes “necessitarianism is true.” So if necessitarianism is true anywhere, it’s necessarily true everywhere.

In possible world semantics: If necessitarianism holds in w, then there are no genuinely distinct possible worlds accessible from w (since everything true in w is necessary, there are no alternative ways things could be). Thus there is only one possible world, and necessitarianism holds trivially in “all” possible worlds (there’s only one).

Why This Differs from Other Metaphysical Claims

Compare with other major metaphysical theses:

Theism: “God exists”

  • Could be true in some worlds, false in others
  • Even if God necessarily exists, God’s nature doesn’t immediately entail that everything necessarily exists
  • Therefore ¬(T → □T) where T = theism

Materialism: “Only material things exist”

  • Could be true in some worlds (no souls, no abstract objects), false in others
  • Therefore ¬(M → □M) where M = materialism

Platonism: “Abstract objects exist necessarily”

  • Even if true, doesn’t entail that concrete objects exist necessarily
  • Therefore ¬(P → □P) where P = Platonism

Only necessitarianism has the logical property that it necessitates itself. This is because it’s a claim about the entire modal structure of reality, not a claim within that structure.

The Argument Is Valid

From ◊N and (N → □N), we derive □N in S5:

  1. ◊N (premise)
  2. N → □N (premise)
  3. ◊□N (from 1, 2 by modal logic)
  4. □N (from 3 by S5 axiom: ◊□P → □P)

The conclusion: Necessitarianism is necessarily true.

No Symmetry Problem

Can we run a “reverse argument” for contingentarianism (at least one contingency exists)?

Attempt:

  1. ◊C (Possibly, some truths are contingent)
  2. C → □C (If contingentarianism is true, necessarily contingentarianism is true)
  3. ∴ □C

Premise 2 fails. The existence of contingent truths doesn’t self-necessitate. If proposition p is contingently true, then “p is contingently true” is itself plausibly contingent—in other worlds, p might be necessary or false.

Contingentarianism makes a claim within modal space (some propositions have different truth values across worlds), but this claim is itself located within modal space and can vary across worlds.

Only necessitarianism, as a claim about the entire modal structure, self-necessitates.

This argument therefore avoids the symmetry problem that has plagued modal ontological arguments for God.


Part IV: Gödel’s Ontological Proof and the Modal Collapse

Gödel’s Formulation

Kurt Gödel (1906-1978) developed his ontological proof in unpublished manuscripts, which were later transcribed by Dana Scott. The argument uses second-order modal logic with the following structure:

Definitions:

  • G(x): x is God-like (x possesses all positive properties)
  • P(φ): property φ is positive
  • φ ess x: property φ is an essence of x
  • E(x): x necessarily exists

Axioms:

  • A1: If φ is positive and φ entails ψ, then ψ is positive
  • A2: If φ is positive, then ¬φ is not positive
  • A3: Being God-like is a positive property
  • A4: Being positive is a necessary property (if φ is positive, then necessarily φ is positive)
  • A5: Necessary existence is a positive property

Key Theorems:

  • T1: If φ is positive, then ◊∃x φ(x) (positive properties are possibly instantiated)
  • T2: ◊∃x G(x) (possibly, a God-like being exists)
  • T3: □∃x G(x) (necessarily, a God-like being exists)

The proof proceeds with mathematical rigor. Gödel, one of the 20th century’s greatest logicians, constructed a valid deductive argument from his axioms to the conclusion that God necessarily exists.

Sobel’s Modal Collapse Result

In 1987, Jordan Howard Sobel published “Gödel’s Ontological Proof” demonstrating a devastating consequence of Gödel’s axioms: modal collapse.

The problem: Gödel’s system allows property abstraction. For any formula φ(x), we can define the property [λx.φ(x)].

Given Gödel’s axioms, we can prove:

∀p(p → □p)

Every true proposition is necessarily true.

The proof sketch:

  1. God exists necessarily and possesses all positive properties essentially (from Gödel’s theorems)
  2. For any true proposition p, we can form the property [λx.p] (”being such that p”)
  3. God possesses this property or its negation
  4. If God possesses [λx.p], then since God exists necessarily and has all properties essentially, □p
  5. If God possesses [λx.¬p], then □¬p, which contradicts p being true
  6. Therefore, if p is true, then □p

Concrete example: Consider the proposition “Obama won the 2008 election.”

  • Form the property: being such that Obama won in 2008
  • Either this property is positive, or its negation is positive (by A2)
  • If positive, God has it essentially, so necessarily Obama won
  • If its negation is positive, then necessarily Obama didn’t win, contradicting actual history
  • Therefore, Obama necessarily won the 2008 election

But this is absurd—surely McCain could have won. Surely I might never have existed. Surely contingent truths exist.

The Standard Response: Rejection

The philosophical community’s response to Sobel’s result has been uniform: modal collapse proves that Gödel’s axioms must be false.

Various “emendations” have been proposed:

  • C. Anthony Anderson (1990): Modified axiom system avoiding property abstraction
  • Petr Hájek (1996): Further weakening of Anderson’s axioms
  • Melvin Fitting (2002): Alternative formulation using restricted comprehension

All these modifications aim to preserve God’s necessary existence while avoiding modal collapse.

The Unexamined Alternative

But there’s another possibility that philosophers have systematically refused to consider: What if modal collapse is not a bug but a feature? What if Sobel discovered not a reductio of Gödel’s axioms, but their true consequence?

Consider the dialectic:

  1. Gödel constructs rigorous formal argument
  2. Argument validly derives God’s necessary existence
  3. Argument also validly derives that all truths are necessary
  4. Philosophers assume (3) is false
  5. Therefore Gödel’s axioms must be rejected

But step (4) is an assumption, not an argument. Why assume contingency is true? Because it seems obvious? Because it’s intuitive?

These are not philosophical arguments. They’re appeals to modal intuitions that themselves require justification.

What if we instead reason:

  1. Gödel constructs rigorous formal argument
  2. Argument validly derives necessitarianism
  3. No clear incoherence in necessitarianism
  4. Historical precedent for necessitarianism (Spinoza, Parmenides, Karofsky, Della Rocca)
  5. Therefore: Necessitarianism might be true

Modal collapse doesn’t refute Gödel’s argument. It reveals its true conclusion.

Gödel wasn’t proving that God exists. He was proving that everything exists necessarily. The apparatus of “positive properties” and “God-likeness” was ultimately just machinery for deriving necessitarianism.

Why Philosophers Missed This

The philosophical establishment has been so committed to contingency that they couldn’t see modal collapse as anything other than disaster. They treated it as obviously false that everything is necessary.

But “obvious” is doing a lot of work there. Obvious to whom? Not to Spinoza. Not to Parmenides. Not to Della Rocca or Karofsky. Not to Petronius Jablonski.

The assumption of contingency is precisely what’s in question. Using it to reject modal collapse is circular reasoning.


Part V: The PSR Argument for Necessitarianism

The modal argument isn’t the only path to necessitarianism. An independent route proceeds through the Principle of Sufficient Reason.

PSR: For every fact F, there is a sufficient reason (explanation) why F obtains rather than not obtaining, and why F is thus rather than otherwise.

This principle has been central to rationalist metaphysics since Leibniz. It undergirds:

  • The cosmological argument (why does anything exist?)
  • Scientific inquiry (why does this phenomenon occur?)
  • Our demands for explanation generally

Michael Della Rocca argues that rejecting PSR is “the sign of a failed philosophy”—it’s admitting that at some point, explanation simply stops for no reason.

The Incompatibility of PSR and Contingency

Consider any supposedly contingent fact F (e.g., “I ate oatmeal this morning”).

Question: Why does F obtain rather than not-F?

Two possibilities:

Option 1: F has a sufficient reason

If there’s a sufficient reason R that explains F, then R makes F the case. R is sufficient for F. Given R, F must obtain.

But then F is necessitated by R. F could not have been otherwise, given R.

“Ah,” you might say, “but R itself is contingent!”

Fine. Why does R obtain rather than not-R?

If R has a sufficient reason R₁, then R₁ necessitates R. And if R₁ has a reason R₂, then R₂ necessitates R₁.

Follow the chain:

  • Either it terminates in something self-explanatory (which exists necessarily)
  • Or it continues infinitely (but infinite regresses don’t explain—they postpone explanation indefinitely)
  • Or it loops (but circular explanation is no explanation)
  • Or it stops at a brute fact (violating PSR)

If we follow sufficient reasons all the way, we arrive at necessary being—something that exists by its own nature. And if that necessary being is the ultimate ground, everything grounded in it exists necessarily.

Option 2: F has no sufficient reason

Then F is a brute fact—something that just happens to be the case, for no reason at all.

But brute facts are explanatory failure. They’re not a type of explanation; they’re the absence of explanation. And once we permit one brute fact, why not permit them everywhere?

  • Why does the universe exist? “Just because.”
  • Why these laws of physics? “Just because.”
  • Why anything at all? “No reason.”

PSR collapses. We’re left with a reality that’s fundamentally arbitrary, unintelligible, inexplicable.

Della Rocca’s Argument

In “PSR,” Della Rocca makes this point systematically:

Any genuine explanation necessitates what it explains.

If R explains F, then R makes F intelligible by showing why F (and not some alternative) obtains. But for R to succeed in this, R must be sufficient for F—R must make F the case.

And if R makes F the case, then given R, F must be the case. F is necessitated.

“Contingent explanation” is therefore a contradiction in terms. If F is genuinely contingent (could have been otherwise, even given all prior conditions), then nothing can explain why F rather than not-F. The choice between F and not-F would be inexplicable, arbitrary.

The PSR, taken seriously, is a necessitarian engine. It demands explanations, explanations necessitate, and therefore everything is necessitated.

Every fact faces the same trilemma:

  1. Explained → necessitated → not contingent
  2. Unexplained → brute fact → PSR violated
  3. Self-explanatory → necessary by nature

There is no fourth option. Contingency cannot be coherently maintained alongside PSR.

You must choose: PSR or contingency. Not both.

Most philosophers haven’t wanted to choose. They’ve tried to maintain both through increasingly baroque distinctions:

  • “Sufficient reason” vs. “necessitating reason”
  • Explanations that make things “likely” but not “necessary”
  • Brute necessities vs. brute contingencies

None of these distinctions withstand scrutiny. They’re philosophical epicycles designed to save the appearances of contingency.


Part VI: Divine Freedom and Necessary Creation

Judaism, Christianity, and Islam all maintain:

God freely chose to create the world. God could have refrained from creating, or created differently.

This isn’t peripheral doctrine—it’s load-bearing:

  • Moral theology: Creation is a gift (requires freedom to withhold)
  • Problem of evil: God gave creatures freedom (presupposes God’s own freedom)
  • Divine sovereignty: God’s will is supreme (not constrained by necessity)
  • Worship: We praise God for creating this (requires alternatives)

The Classical Attributes

Yet these same traditions affirm that God possesses:

Necessity: God exists in all possible worlds (non-contingent being)

Simplicity: God has no parts, no composition, no distinction between essence and existence or between nature and will

Immutability: God doesn’t change (no succession of states, no temporal process)

Aseity: God depends on nothing outside God’s own nature (absolute self-sufficiency)

Omniscience: God knows all truths with perfect certainty

Perfect Goodness: God always acts in accordance with perfect wisdom and goodness

The Incompatibility

These attributes are incompatible with libertarian freedom. Here’s why:

From Simplicity:

If God’s will is distinct from God’s nature, God is composite (essence + will). But divine simplicity denies all composition in God. Therefore God’s will = God’s nature.

But if God’s will is identical to God’s nature, and God’s nature is necessary, then God’s will is necessary.

God cannot will otherwise than God wills, any more than God can have a different nature.

From Immutability:

If God’s willing is an event—something that happens, a decision made—then God changes from not-having-willed to having-willed.

But God is immutable. Therefore God’s willing isn’t an event in time. It’s eternal, unchanging.

But if God’s willing is eternal and unchanging, it cannot be the exercise of libertarian freedom (which requires the ability to do otherwise).

From Perfect Goodness:

If God necessarily knows what’s best and necessarily acts on that knowledge (perfect goodness), then God’s actions are necessitated by God’s knowledge + perfect nature.

“Ah,” you might object, “but God chooses which good to actualize from among many possible goods.”

But does God have reasons for choosing this particular good rather than another?

If yes: Those reasons necessitate the choice. Given God’s perfect knowledge of those reasons, God must choose accordingly. No real alternatives.

If no: The choice is arbitrary, without sufficient reason. But this contradicts divine perfection—a perfect being doesn’t act arbitrarily.

From Necessity:

If God exists necessarily, and God’s attributes are essential to God (part of what makes God God), then God’s knowing and willing are necessary.

God doesn’t just happen to know all truths—God necessarily knows them. God doesn’t just happen to will the good—God necessarily wills it.

And if God necessarily wills what God wills, and creation is among the things God wills, then creation is necessary.

Aquinas’s Failed Solution

Thomas Aquinas recognized this problem. His solution (developed across thousands of pages):

God necessarily wills God’s own goodness. But God only contingently wills the existence of creatures.

Why? Because creatures add nothing to God’s perfection. God would be equally perfect without them. Therefore God’s will regarding creatures is “free” (not necessitated by God’s nature).

This doesn’t work.

If God’s willing is identical to God’s nature (simplicity), and God’s nature is necessary, then all of God’s willing is necessary—including willing regarding creatures.

Aquinas tries to maintain that God’s willing is necessary but the object of God’s will (creatures) is contingent. But this distinction collapses. If God necessarily wills X, then X is necessitated.

Aquinas: “God necessarily wills that IF God creates, THEN God creates the best. But God doesn’t necessarily will to create.”

But this just postpones the problem: Why does God will to create at all? Either:

  • God has reasons → Those reasons necessitate the willing → Not free
  • God has no reasons → The willing is arbitrary → Not perfect

Leibniz’s Failed Solution

Leibniz tried to preserve contingency through his distinction between absolutely necessary truths (whose opposite is contradictory) and hypothetically necessary truths (which follow from God’s nature + God’s free choice).

God necessarily exists. God necessarily knows all possible worlds. God necessarily chooses the best.

But which world is best is a contingent matter—it depends on evaluating infinite compossible options.

This doesn’t work either.

If God’s knowledge of which world is best is necessary (following from omniscience), and God’s willing the best is necessary (following from perfect goodness), then God’s creating this world is necessary.

The “contingency” Leibniz preserves is merely epistemic (we finite knowers can’t derive which world is best) not metaphysical (even for God, there’s no real alternative once perfect knowledge is assumed).

Spinoza’s Honesty

Spinoza saw what Aquinas and Leibniz wouldn’t face: You can’t have both divine necessity and divine freedom.

If God is simple, immutable, necessary, and perfect, then everything follows from God’s nature with the same necessity that properties of a triangle follow from its definition.

Deus sive Natura. God = Nature. One substance, existing necessarily, from which everything flows necessarily.

“Could God have created differently?”

No—not because God lacks power, but because the question is malformed. It’s like asking “Could a triangle have had four sides?” The nature determines what follows necessarily.

This isn’t atheism (Spinoza was condemned as an atheist, but he called his system “God”). It’s necessitarian monism—one necessary substance, no contingency anywhere.

Is this “theism” in any traditional sense? No. There’s no person to pray to, no will that responds to requests, no freedom to grant or withhold.

But it may be the only coherent form of rationalist theology available.

The Forced Choice

Traditional theism must choose:

Option A: Divine Freedom

  • God could have done otherwise
  • → God’s will is contingent
  • → God contains potentiality (could-have-done-otherwise)
  • → God is composite (actuality + potentiality)
  • → God depends on something to actualize potentials
  • → Violates aseity and simplicity
  • → This being is not God

Option B: Divine Necessity

  • God’s nature necessitates God’s willing
  • → God necessarily wills whatever God wills
  • → If creation occurs, it occurs necessarily
  • → Everything flows necessarily from divine nature
  • → Necessitarianism

There is no middle path. Aquinas’s thousands of pages of distinctions, Leibniz’s “hypothetical necessity,” modern theists’ appeals to “libertarian agency in God”—all of these are elaborate ways of refusing to choose.

But the choice is unavoidable.

If the ontological argument proves anything, it proves that God exists necessarily. And if God exists necessarily with perfect knowledge and perfect will, then everything God does is necessary.

The modal ontological argument’s true conclusion: necessitarianism.


Part VII: Objections and Responses

Objection 1: “This is absurd. Obviously things could have been otherwise.”

Response: This is appeal to intuition, not argument. Many true things initially seem absurd:

  • Heliocentrism (the earth moves—absurd!)
  • Special relativity (simultaneity is relative—absurd!)
  • Quantum mechanics (superposition—absurd!)
  • Evolution (complexity without design—absurd!)

“Seeming absurd” isn’t evidence of falsehood. What matters is whether the arguments are sound.

Moreover, necessitarianism seemed obvious to some great philosophers. The intuition of contingency is not universal. It may be culturally conditioned by theistic assumptions.

Objection 2: “Premise 1 fails—necessitarianism is incoherent or impossible.”

Response: Then demonstrate the incoherence. Show the contradiction.

Spinoza gave a complete systematic presentation in Ethics. Where’s the logical contradiction? Which axiom is false? Which inference is invalid? See this for a stunning modern defense.

Saying “I can’t imagine how this could be true” is not showing incoherence. That’s an epistemic limitation, not a metaphysical impossibility.

The burden is on the objector: prove necessitarianism involves a contradiction.

Objection 3: “Premise 2 fails—necessitarianism could be contingently true.”

Response: This is incoherent for reasons already given.

If necessitarianism is true, it states that all truths are necessary. This includes the truth of necessitarianism itself.

You cannot coherently maintain: “All truths are necessary, and this fact is contingent.” That’s a performative contradiction.

Objection 4: “We should reject S5 modal logic.”

Response: On what grounds?

S5 is standard for metaphysical modality. The accessibility relation for metaphysical possibility is reflexive (every world accesses itself), symmetric (if w₁ accesses w₂, then w₂ accesses w₁), and transitive (if w₁ accesses w₂ and w₂ accesses w₃, then w₁ accesses w₃).

Rejecting S5 means claiming some metaphysically possible worlds are “inaccessible” from ours in some deep sense. What would ground this inaccessibility? What metaphysical principle determines which worlds we can access?

Without principled answers, rejecting S5 looks like ad hoc maneuvering to avoid uncomfortable conclusions.

(Note: The reverse ontological argument works in S4, which is weaker. Even if you reject S5, the problem doesn’t disappear.)

Objection 5: “PSR is false—some things are just brute facts.”

Response: This isn’t a philosophical position; it’s creation ex nihilo; it’s giving up on philosophy. It’s saying that at some point, for no reason, we stop asking “why?”

And once you permit one brute fact, why not permit them everywhere?

Della Rocca argues this is “the sign of a failed philosophy.” Accepting brute facts means accepting that reality is fundamentally arbitrary and unintelligible.

That may be true. But it’s philosophically unsatisfying, and it undermines the very enterprise of rational inquiry.

Objection 6: “This eliminates moral responsibility and free will.”

Response: It eliminates libertarian free will (the ability to have done otherwise with identical prior conditions). But compatibilist accounts of freedom and responsibility survive.

You are “free” when your actions flow from your own character, desires, and reasons—not when they’re undermined by external compulsion or internal pathology.

You’re responsible when holding you accountable serves social functions (deterrence, behavior modification, coordination).

These accounts don’t require contra-causal freedom. They work perfectly well in a necessitarian framework.

What becomes difficult is desert-based responsibility—the idea that people deserve suffering simply because they could have done otherwise. Retributive punishment becomes harder to justify.

But consequentialist and contractualist moral theories handle necessitarianism without a problem.

Objection 7: “Modal collapse is a known problem, not a vindication.”

Response: It’s a “problem” only if you assume contingency is true. But that’s begging the question.

Sobel showed that Gödel’s axioms entail necessitarianism. Philosophers assumed necessitarianism is false, therefore Gödel’s axioms must be false.

I’m questioning that assumption: Why assume necessitarianism is false?

The answer is usually: “Because it’s obviously false!” But that’s not an argument—it’s an appeal to intuition. And intuitions about modality are notoriously unreliable.

If Gödel’s axioms are independently plausible (principles about perfection and positive properties), and they validly entail necessitarianism, that’s reason to accept necessitarianism, not to reject the axioms.

Objection 8: “No one believes this.”

Response: False, as we’ve seen. And more importantly: truth isn’t determined by popularity. Many true claims were initially accepted by few people.

The question isn’t “how many people believe this?” but “are the arguments sound?”

Objection 9: “This has terrible practical consequences.”

Response: And? Truth doesn’t bend to convenience.

If necessitarianism is true, the fact that we dislike its implications is irrelevant. Reality doesn’t care about our preferences.

That said, the practical implications may not be as dire as feared:

  • You still deliberate (deliberation is necessary)
  • You still make choices (choices are necessary)
  • You still hold people accountable (accountability is necessary)
  • Meaning and purpose exist (as necessary features of conscious systems)

What changes is our understanding of what we’re doing, not the doing itself.


Part VIII: Why Philosophers Resist

If the arguments for necessitarianism are strong, why do so few philosophers accept it?

Phenomenological Resistance

The feeling of freedom is powerful. When you deliberate, you experience genuine openness—”I could choose A or B.”

Necessitarianism says this feeling is misleading (or at least, doesn’t reflect metaphysical openness). That’s hard to accept.

But again: feelings don’t determine metaphysics. The felt experience of moral properties doesn’t prove moral realism. The felt experience of time’s flow doesn’t prove presentism.

Phenomenology is data, but it’s not self-interpreting.

Fear

Necessitarianism is vertiginous. The idea that nothing could have been different, that every moment was always going to happen, that all of history was locked in—this is existentially unsettling.

Many philosophers may resist it simply because they don’t want it to be true.

That’s understandable. But it’s not a philosophical argument.


Part IX: The Real Stakes

What follows if necessitarianism is true?

Metaphysics

  • Existence: Why is there something rather than nothing? Because being is necessary. Non-being is impossible.
  • Laws: Why these laws of nature? Because they’re necessary features of how reality must be structured. (Why these prime numbers?)

Philosophy of Science

Science isn’t discovering contingent regularities that “just happen” to hold. It’s discovering necessary relations.

The “unreasonable effectiveness of mathematics in the natural sciences” (Wigner) is no longer unreasonable. Mathematics describes necessary structures, physics describes reality’s necessary structure—they match because reality is mathematical necessity realized.

Ethics

Desert-based moral responsibility becomes questionable. Consequentialist and contractualist ethics survive.

Justice is about coordinating behavior and maintaining social order, not about giving people what they “deserve” for could-have-done-otherwise.

Philosophy of Religion

God as a person who “could have done otherwise” is incoherent: no being could have done otherwise.

What remains:

  • Spinozistic pantheism (God = necessary Nature)
  • Naturalism (reality = necessary physical laws)
  • Impersonal absolute (Plotinus’s One, Brahman, Tao—if these are understood as necessity, not personality)

Existential Meaning

You are not a contingent accident. You are a necessary feature of reality’s structure—as necessary as mathematical truths, as inevitable as the Mandelbrot set’s boundary.

Your choices aren’t free (in the libertarian sense), but they’re yours—flowing from your character and nature, which themselves flow necessarily from prior causes.

Meaning doesn’t come from creating yourself ex nihilo. It comes from understanding your necessary place in reality’s structure and living in accordance with that understanding.

Spinoza called this amor dei intellectualis—the intellectual love of God/Nature. Understanding necessity brings peace.


Part X: The Argument Stands

I have presented three independent arguments for necessitarianism:

  1. The modal argument: ◊N, N → □N, ∴ □N
  2. The PSR argument: PSR + contingency are incompatible; PSR is more fundamental
  3. The theological argument: Divine necessity + divine perfection → necessitarianism
  4. See also “The Dilemma of Contingency” for a direct attack on contingency

The Challenge

If you reject necessitarianism, you owe an account of:

  1. Which premise in the modal argument is false, and why
  2. How contingent facts can be explained without being necessitated
  3. How divine freedom is compatible with divine simplicity, immutability, and necessity
  4. Why modal collapse in Gödel’s argument shows the axioms are false rather than necessitarianism is true
  5. What grounds your modal intuitions about contingency beyond “it feels right”

Without answers to these questions, rejection of necessitarianism is unmotivated.


Conclusion: The Necessary World

Reality is not arbitrary. It is not contingent. It is not chosen.

The universe is computing what it must compute. We are inside the algorithm, watching it unfold, experiencing what feels like openness but is actually necessity manifesting through conscious beings.

What we call “evolution” is necessity unfolding temporally. What we call “laws of physics” are descriptions of necessary relations. What we call “choice” is determination flowing through deliberative processes. What we call “existence” is mathematical consistency realized.

The modal ontological argument was always pointing here. Not to a personal God who freely creates, but to reality as necessary structure—one way it must be, one way it could only ever be.

Parmenides was right: Being is. Being is one. Being is necessary.

Spinoza was right: Deus sive Natura. God or Nature—same thing. All following necessarily from the eternal substance.

The contemporary resisters—Della Rocca, Karofsky—are right: PSR entails necessitarianism. Contingency = creation from nothing. We’ve been avoiding the conclusion because we don’t like where the arguments lead.

But arguments don’t care what we like.


Further Reading:

Primary Sources:

  • Spinoza, Ethics (1677) – The systematic necessitarian text
  • Leibniz, Theodicy (1710) – Attempt to preserve contingency; arguably collapses into necessitarianism
  • Gödel’s ontological argument – In Kurt Gödel: Collected Works, Vol. 3

Contemporary Necessitarians:

On Modal Ontological Arguments:

  • Alvin Plantinga, The Nature of Necessity (1974)
  • Joseph C. Schmid, Peter Fritz, Tien-Chun Lo, “Symmetry Lost: A Modal Ontological Argument for Atheism?” Noûs (2025)
  • Jordan Howard Sobel, “Gödel’s Ontological Proof” (1987)
  • Jordan Howard Sobel, Logic and Theism: Arguments For and Against Beliefs in God (2004)

On Spinoza:

  • Stanford Encyclopedia of Philosophy, “Spinoza’s Modal Metaphysics”
  • Don Garrett, Nature and Necessity in Spinoza’s Philosophy (2018)

Consider a simpler statement of this position sans theology

Standard
Schrodinger's Dachshund

The Dilemma of Contingency

Absolutely nothing about reality could have been different in any way whatsoever. Philosophy is a footnote to Parmenides.

Contingency cannot exist. If brute, it is incoherent (Karofsky 2022). If explained, it collapses into necessity under the Principle of Sufficient Reason (Della Rocca 2020). This dilemma is sharpened through concrete examples, an account of grounding and intelligibility, and responses to recent contingentarian strategies including two-dimensional semantics, dispositional essentialism, and structural conceptions of essence. A recurring case study — the electron’s spin — illustrates both horns. The upshot is that necessitarianism, often dismissed as implausible, emerges as the only coherent metaphysical position. Contingency is revealed as creation ex nihilo.

1. Introduction

Few doctrines are more widely rejected in contemporary metaphysics than necessitarianism: the view that everything is necessary, that nothing could have been otherwise. Common sense rules it out. Surely Caesar might not have crossed the Rubicon. I could have worn a different shirt this morning. Perhaps the laws of physics could have been different. Modal logic formalizes these intuitions; metaphysics takes them as data. To deny contingency collapses modal discourse into triviality.

By contrast, contingentarianism — the view that some things could have been otherwise — enjoys nearly universal endorsement. The burden of proof, it is thought, lies entirely on the necessitarian.

Two philosophers have recently taken up that burden. Amy Karofsky’s A Case for Necessitarianism (2022) defends necessitarianism on skeptical grounds: contingency, she argues, is incoherent, because no metaphysical account of “could have been otherwise” withstands scrutiny. Michael Della Rocca’s The Parmenidean Ascent (2020), by contrast, derives necessitarianism from the Principle of Sufficient Reason (PSR): if every fact must be intelligible, then distinctions themselves collapse, leaving only necessity.

At first sight, these approaches could not be more different. Karofsky proceeds negatively, dismantling the case for contingency and leaving necessitarianism as the only option. Della Rocca proceeds positively, elevating the PSR to its fullest expression and drawing necessitarianism as its inevitable consequence. One eliminates contingency by parsimony, the other by explanatory maximalism.

These routes converge. Together they generate a dilemma of contingency:

  • If contingency is brute, it collapses into incoherence (Karofsky).
  • If contingency is explained, it collapses into necessity (Della Rocca).
  • There is no third option.

Thus, contingency vanishes. Necessitarianism, far from being an implausible extremity, emerges as the only coherent metaphysical position.

This post has four aims. First, I clarify the key notions of grounding, intelligibility, and the version of the PSR at stake, and introduce a recurring case study: the spin of an electron. Second I develop the two horns of the dilemma in detail, illustrating them with the case study and showing why both brute and explained contingency fail. Third I confront leading contingentarian strategies — two-dimensional semantics, dispositional essentialism, structural accounts of essence, and modal grounding theories — and show that each succumbs to the same dilemma. Fourth I consider objections: that there may be a third option, that we might simply reject the PSR, that necessitarianism undermines freedom, or that it is too counterintuitive to accept.

The result is a sharpened defense of necessitarianism that synthesizes the eliminativist and rationalist traditions into a single, decisive argument. …

The Dialogues of Supernatural Individuation

Standard