Justified True Belief

Mapping the Landscape of Good Reasons for the Truth of Christianity

Natural Theology

Arguments for Theism

Cosmological

Arguments from Causation

Moral & Rational

Arguments from Morality & Reason

(P1) It is possible that a maximally great being exists. + (1) What "maximally great" means. - A maximally great being is one that has maximal excellence in every possible world. Maximal excellence means, at minimum: omnipotence (all power that is logically possible), omniscience (knowledge of all truths), moral perfection (perfectly and necessarily good), and necessary existence (unable to fail to exist in any possible world). - These are not arbitrary attributes assembled from a wish list. They are absolute maxima: properties that by their nature admit of no further improvement. You cannot be "more omniscient" than knowing all truths. You cannot be "more omnipotent" than having all logically possible power. These are genuine ceilings, not points on a scale that could always be raised one notch higher. - A being that had all of these properties in the actual world but could have lacked them in some other possible world would not be truly maximally great. True maximal greatness means excelling in every possible scenario, not just this one. This is why necessary existence is part of the definition: a being whose existence depends on favorable circumstances is, in that respect, less great than one whose existence is guaranteed by its own nature. (2) Anselm's original argument and Plantinga's modal improvement. - The ontological argument was first formulated by Anselm of Canterbury in the Proslogion (1078). Anselm argued that "that than which nothing greater can be conceived" must exist in reality, not only in the mind, because a being that existed only as a concept could be conceived as greater still by adding real existence to it. Therefore God, as the greatest conceivable being, must actually exist. - Immanuel Kant responded that this argument illegitimately treats existence as a property you can add to a concept to make it greater. Kant's objection has genuine force against Anselm's original formulation. Philosopher Alvin Plantinga addressed this by reformulating the argument using the modern tools of possible worlds semantics and S5 modal logic (The Nature of Necessity, Oxford: Clarendon Press, 1974, ch. X). - Plantinga's version, which is presented here, does not argue from the definition of God to his existence. It argues from the coherence of the concept of a being with necessary existence as one of its defining properties. Necessary existence is a genuine modal property, not merely a matter of whether a concept is instantiated. This distinction is what allows the argument to survive Kant's objection. See Defeater 5 for a full treatment of Kant's challenge. (3) Metaphysical possibility versus epistemic possibility. - When this argument says it is "possible" that a maximally great being exists, it means metaphysically possible: there is a genuine way reality could be that includes such a being. This is different from epistemic possibility, which means only "for all I know, it might be true." - Consider the number pi. Before it was proved irrational, a mathematician might have said "for all I know, pi could be rational." That is epistemic possibility. But pi is in fact necessarily irrational: there is no possible world in which it is rational, regardless of anyone's state of knowledge. Epistemic uncertainty does not create metaphysical possibility. - When the argument claims a maximally great being is possible, it claims that the concept contains no hidden contradiction making it necessarily false, just as the concept of a prime number contains no hidden contradiction. That is a claim about the structure of the concept, not merely about one's personal uncertainty. (4) Why the concept of maximal greatness appears to be genuinely coherent. - A concept is metaphysically impossible only if it contains a hidden contradiction. "Round square" contains the contradiction between roundness and having corners. "Married bachelor" contains the contradiction between being married and being unmarried. These reveal their contradictions almost immediately. - After more than nine centuries of sustained philosophical scrutiny since Anselm, no philosopher has successfully demonstrated a genuine contradiction in the concept of a being that is omnipotent, omniscient, morally perfect, and necessarily existent. Philosophers have raised challenges, which are addressed in Defeaters 3, 5, 6, and 7. None of these challenges has established a decisive incoherence. - This is not proof of coherence, but it is significant evidence for it. Concepts that are genuinely self-contradictory tend to reveal their contradictions under sustained analysis. The concept of maximal greatness has survived that analysis intact. (5) This is the load-bearing premise: where the argument's entire weight rests. - The steps that follow from P1 are either definitional translations or logically trivial moves. The entire force of the argument therefore rests on whether P1 is rational to accept. - If P1 is granted, God's existence follows necessarily. If P1 is denied, the denier must be committed to a strong and demanding claim: that maximal greatness is genuinely metaphysically impossible, that the concept contains a hidden contradiction not yet identified after centuries of scrutiny. That is a heavy philosophical burden. - This is one of the most striking features of the argument: it transforms the debate from "does God probably exist?" into "is the concept of maximal greatness coherent?" Those who find the concept coherent are logically committed to God's actual existence.

(P2) A maximally great being exists in some possible world. + (1) What a possible world is. - A possible world is not a parallel universe in a physical sense. It is a philosopher's tool: a complete and consistent description of how reality could have been, down to every detail. - The actual world, the reality we inhabit, is one possible world. Other possible worlds are the many ways things could have gone differently: a world where the asteroid that killed the dinosaurs missed, a world where no physical matter exists at all, a world where Napoleon won at Waterloo. Any description of reality that is internally consistent and free of logical contradiction counts as a possible world. - Logically contradictory scenarios, like a world where something is simultaneously round and square in the same sense at the same time, do not count as possible worlds. They are genuine impossibilities. (2) How possibility connects to possible worlds. - In modal logic, "it is possible that X" means precisely "there is at least one possible world in which X." This technical definition allows philosophers to reason carefully about what could and could not be the case. - So when P1 says a maximally great being is possible, this translates directly to: there is at least one complete and consistent description of reality that includes a maximally great being. P2 makes this translation explicit. (3) P2 follows directly from P1 by definition. - P1 grants that a maximally great being is possible. P2 is simply what that means in the language of possible worlds. This step introduces no new assumption. It restates P1 in the technical vocabulary needed for what follows.

(P3) If a maximally great being exists in some possible world, then it exists in every possible world. + (1) Why maximal greatness requires necessary existence as one of its properties. - A maximally great being, by definition, has maximal excellence in every possible world. Consider: which is greater, a being that exists necessarily (whose non-existence is impossible in any scenario) or a being that exists contingently (existing in some possible worlds but not others, depending on circumstances)? Clearly the former. - A being whose existence depends on favorable conditions is, in precisely that respect, less great than one whose existence is guaranteed by its own nature. Therefore, necessary existence is a great-making property. A truly maximally great being must exist necessarily, not contingently. (2) The self-undermining nature of a "contingent maximally great being." - Suppose someone proposed: "A maximally great being exists in some possible world W, but not in the actual world." This is a hidden contradiction. - A truly maximally great being in world W would include necessary existence as one of its properties. But necessary existence means existing in every possible world without exception. Therefore it would also exist in the actual world. The phrase "a maximally great being that exists in some worlds but not others" destroys itself, just as "a married bachelor" does. The concept cannot coherently describe a contingent being. (3) The S5 modal principle explained in plain terms. - The modal logic system used here, known as S5 for the axioms it employs, includes the principle that if something is possibly necessarily true, then it is necessarily true. - Think of mathematical truths. The claim that 2+2=4 is either necessarily true in every possible world, or it is necessarily false in every possible world. There is no possible world where it is sometimes true and sometimes false, because its truth follows from the logical structure of arithmetic, not from contingent circumstances. Once you establish that 2+2=4 is true in any possible world, you have established that it is true in all of them. - A maximally great being works the same way. If such a being exists in even one possible world, its existence follows from the logical nature of what maximal greatness requires: necessary existence. And a necessary truth holds in every possible world, including the actual one.

(P4) If a maximally great being exists in every possible world, then it exists in the actual world. + (1) The actual world is a member of the set of all possible worlds. - This step is a logical tautology. If something exists in every possible world, it exists in each individual member of that set. The actual world is a member of that set. Therefore it exists here. - Think of it this way: if a regulation applies in every city in a country, and your city is in that country, the regulation applies in your city. No additional argument is needed. The same reasoning applies to possible worlds. (2) This step brings the abstract modal reasoning home to concrete reality. - Modal reasoning about possible worlds can feel abstract. P4 is the step that brings the conclusion down to earth. All the reasoning about what holds across every possible scenario ultimately applies to the scenario we actually inhabit. "Every possible world" is not a refuge from concrete reality. It is a guarantee that covers the world we live in.

(IC) A maximally great being exists in the actual world. + This intermediate conclusion follows from P2, P3, and P4 by two applications of modus ponens, the logical form "if A then B; A; therefore B." P2 established that a maximally great being exists in some possible world. P3 established that if it exists in some possible world, it exists in every possible world. Applying modus ponens gives: a maximally great being exists in every possible world. P4 then established that if it exists in every possible world, it exists in the actual world. Applying modus ponens a second time gives this intermediate conclusion: a maximally great being exists in the actual world. The final conclusion C1 draws out what this means in direct terms: not merely that such a being exists in the actual world as a theoretical matter of modal logic, but that a maximally great being simply and actually exists.

(C1) Therefore, a maximally great being exists.

Alvin Plantinga, The Nature of Necessity. Oxford: Clarendon Press, 1974. (Ch. X presents the modal ontological argument in its definitive form.) Alvin Plantinga (ed.), The Ontological Argument: From St. Anselm to Contemporary Philosophers. Garden City, NY: Doubleday, 1965. Anselm of Canterbury, Proslogion, trans. M.J. Charlesworth. In St. Anselm's Proslogion. Oxford: Clarendon Press, 1965. Immanuel Kant, Critique of Pure Reason, trans. Norman Kemp Smith. London: Macmillan, 1929 [1781], A592/B620–A614/B642. Norman Malcolm, "Anselm's Ontological Arguments," Philosophical Review 69 (1960): 41–62. Charles Hartshorne, The Logic of Perfection and Other Essays in Neoclassical Metaphysics. La Salle, IL: Open Court, 1962. Graham Oppy, Arguing about Gods. Cambridge: Cambridge University Press, 2006, pp. 70–89. Jordan Howard Sobel, Logic and Theism: Arguments for and Against Beliefs in God. Cambridge: Cambridge University Press, 2004. Brian Leftow, "The Ontological Argument," in The Oxford Handbook of Philosophy of Religion, ed. William J. Wainwright. Oxford: Oxford University Press, 2005, pp. 80–115. Robert Maydole, "The Ontological Argument," in The Blackwell Companion to Natural Theology, ed. William Lane Craig and J.P. Moreland. Oxford: Wiley-Blackwell, 2009, pp. 553–592. Peter van Inwagen, "Ontological Arguments," Noûs 11 (1977): 375–395. Wes Morriston, "Omnipotence and Necessary Moral Perfection: Are They Compatible?" Religious Studies 37 (2001): 143–160.
+ The argument just defines God into existence using fancy modal logic. I can define anything into existence this way.
1. The argument's real move is a question about coherence, not a definitional trick. The ontological argument does not say "by definition God exists" and stop there. It asks whether the existence of a certain kind of being, a maximally great necessarily existent being, is even coherent as a concept. If the concept is coherent, it is possible. And if it is possible, the logic of P3 takes over: a being with necessary existence cannot be possible without being actual. The critical step is P1, and P1 is a claim about conceptual coherence, not a definition smuggling in a conclusion. 2. Parody attempts fail because their concepts lack genuine intrinsic maxima. The parody objection was first made by Gaunilo of Marmoutier, an 11th-century monk, who responded to Anselm's original argument with a "most perfect island" example ("On Behalf of the Fool," c. 1078). The same structure has since been applied to maximally great pizzas, unicorns, and similar objects. These parodies all fail for the same reason. Consider a maximally great island. What would that even mean? You could always add one more palm tree, one more waterfall, one more beach. Island greatness is not the kind of property that has an intrinsic ceiling. The same goes for pizzas, which can always have more toppings, and unicorns, which can always be imagined slightly faster or more elegant. These are all contingent, finite objects whose defining properties admit of open-ended improvement. There is no natural stopping point. The properties of a maximally great being are entirely different. Omniscience means knowing all truths: you cannot know "one more truth" than that. Omnipotence means having all logically possible power: you cannot have "a little more power" than every possible power. Moral perfection means being perfectly good: there is no increment beyond perfection. These represent genuine absolute maxima that cannot be raised even in principle. 3. Necessary existence is what makes the parodies collapse entirely. Even granting a parody of "maximally great island," the concept of such an island does not include necessary existence as one of its defining properties. Islands, however great, are the kind of things that depend on geological conditions, sea levels, and contingent physical facts. They exist in some possible worlds and not others. The modal argument applies only to a being for whom necessary existence is built into the very concept of maximal greatness. No island, pizza, or unicorn, even in their most inflated parody forms, is the kind of thing that could exist necessarily. 4. Kant's version of this objection targets Anselm's argument more than Plantinga's. The most philosophically developed form of the "defining into existence" objection is Immanuel Kant's argument that existence is not a predicate. Kant's objection has genuine force against Anselm's original formulation. Plantinga's modal version is specifically designed to address it, because it does not argue that existence adds greatness to a concept. It argues that necessary existence is a genuine modal property that is part of what maximal greatness means. See Defeater 5 for a full treatment of Kant's challenge and why Plantinga's version responds to it effectively.
+ If you can argue for a maximally great good being, you could run the same argument for a maximally great evil being. Why should we prefer one over the other?
1. Maximal greatness includes moral perfection as a constitutive property. The argument is specifically about a maximally great being. Moral perfection, meaning maximal goodness, is part of what maximal greatness means. A "maximally evil" being would, by definition, lack the moral perfection that constitutes one of the absolute maxima of greatness. It could not therefore be maximally great. The two concepts are not interchangeable. The argument cannot be run for an evil being without first gutting the concept of what "maximal greatness" means. 2. Evil is a privation, not a positive excellence: the classical tradition of privatio boni. Augustine of Hippo argued in his Confessions and City of God that evil is not a positive property or substance in its own right. It is a privation, a lack or corruption of good. Aquinas developed this further in the Summa Theologica (I.48.1): evil has no independent existence; it is always a deficiency in something that should have goodness. On this account, properties like justice, wisdom, love, and holiness are genuine perfections: they add something positive to a being. Cruelty, malice, and injustice are defects: they represent the absence or corruption of something that ought to be present. You cannot construct a "maximally evil" being by analogy with a maximally great being, because evil is not the kind of thing that has a positive maximum. There is no "absolute ceiling of evil" in the way there is an absolute ceiling of omniscience, because evil is defined by what is missing, not by what is present. 3. The concept of a necessarily and maximally evil omnipotent being is internally incoherent. Suppose, granting the parody for the sake of argument, that a "maximally evil" being were omniscient and omnipotent. Such a being would know all truths, including every truth about goodness, beauty, and moral perfection. It would have all power, including the power to recognize and pursue the good. A will that is necessarily and maximally opposed to all good, while also being all-knowing and all-powerful, is not a coherent maximization of anything. It describes a being permanently in conflict with its own full knowledge and power. This is not a mirror image of maximal goodness. It is an incoherent hybrid.
+ The reverse modal ontological argument works just as well: if it is possible that a maximally great being does not exist, then since such a being would exist necessarily if it existed at all, it follows that it is impossible for a maximally great being to exist, and therefore God does not exist. There is no reason to prefer the positive possibility over the negative one.
1. The reverse argument is logically valid but its premise is not equivalent to the original. The reverse argument is a real logical challenge and Plantinga himself acknowledges it directly. It is valid within S5 modal logic: if it is metaphysically possible that no maximally great being exists, then no maximally great being exists. The two starting premises, "possibly a MGB exists" and "possibly no MGB exists," cannot both be true at the same time. If a MGB exists in any possible world, it exists in all of them; and if it fails to exist in any possible world, it fails to exist in all of them. The question is therefore not which argument form is valid, but which starting premise has better support. 2. "Possibly no MGB exists" requires demonstrating impossibility, not merely expressing uncertainty. The symmetry between the two arguments is only apparent. The two starting premises carry very different evidential burdens. To say "it is metaphysically possible that a MGB exists" requires only that the concept contains no internal contradiction. Positive conceivability without demonstrated incoherence is the standard evidence for metaphysical possibility. To say "it is metaphysically possible that no MGB exists," however, means that there is a genuine possible world in which a MGB is absent. But a MGB, if coherent, exists necessarily in every possible world. So the only way a possible world could exist without a MGB is if the concept of a MGB is genuinely incoherent, meaning necessarily impossible. The reverse argument's starting premise therefore silently assumes that the concept of maximal greatness is incoherent. This is the asymmetry: the positive premise requires only coherence, while the negative premise requires demonstrated incoherence. Demonstrated incoherence is a much heavier burden, and no philosopher has successfully discharged it. 3. Epistemic uncertainty is not the same as metaphysical possibility. An atheist might say: "I don't know whether a MGB exists. For all I know, it might not. So it is possible it does not exist." But this confuses epistemic possibility (I don't know) with metaphysical possibility (there is a genuine possible world in which it does not exist). Consider pi again. Before a proof of its irrationality existed, a mathematician might have said "for all I know, pi might be rational." That would be epistemic possibility. But there is no possible world in which pi is rational, because its irrationality follows necessarily from its mathematical nature. The mathematician's uncertainty did not create a genuine metaphysical possibility. Similarly, an atheist's uncertainty about God does not create the metaphysical possibility of God's non-existence. If the concept of maximal greatness is coherent, then in every possible world a MGB either necessarily exists or necessarily does not. Uncertainty about which of these is true is an epistemic condition in the mind of the doubter, not a fact about the modal structure of reality. 4. The theist has positive, converging reasons to accept the possibility premise. The positive premise, that a MGB is possible, is supported by several independent considerations. The concept has survived centuries of philosophical scrutiny without a demonstrated incoherence. Other theistic arguments (cosmological, moral, fine-tuning) independently suggest that a being with the relevant properties exists, which is strong evidence that the concept is genuinely possible. And the intuitive coherence of the attributes, omniscience, omnipotence, and moral perfection, gives direct support to P1. The negative premise, that possibly no MGB exists, has no comparable support. It relies solely on the atheist's uncertainty, which, as shown above, is not evidence of metaphysical possibility. Whoever has better reasons for their possibility claim has the stronger argument. The theist's reasons are substantive; the atheist's are merely the absence of conviction. 5. Plantinga's own honest acknowledgment of the argument's limits. Plantinga himself does not claim this argument can compel rational assent from everyone. A person who begins with genuine doubt about whether the concept of maximal greatness is coherent, and who therefore withholds the possibility premise, is not making a logical error in the same sense that misapplying a syllogism is an error. What the argument does establish is this: the two options, God necessarily exists or God is necessarily impossible, are the only alternatives available once the modal structure is accepted. The argument forces the atheist to choose between a demanding position (maximal greatness is incoherent) and theism. Most people, on reflection, find the first option harder to maintain than the second.
+ P1 assumes that it is possible a maximally great being exists. But maybe God is metaphysically impossible due to hidden contradictions in the concept. Granting P1 already begs the question.
1. The debate becomes a question about whether the concept of God is coherent. The argument forces the discussion onto precise philosophical ground: is the concept of a being that is omnipotent, omniscient, morally perfect, and necessarily existent internally consistent? If critics claim it is impossible, they must identify an actual contradiction, not merely express suspicion. This is a much more demanding intellectual task than simply saying "I don't believe in God." 2. Specific alleged contradictions have received careful philosophical responses. Philosophers have proposed several specific challenges to the coherence of maximal greatness. The paradox of the stone asks: can God make a stone so heavy he cannot lift it? If he can, there is something he cannot do (lift it); if he cannot, there is something he cannot do (make it). This appears to show omnipotence contradicts itself. The standard resolution is that omnipotence means having all power over logically possible states of affairs. Creating a stone so heavy that an omnipotent being cannot lift it is a logical contradiction, like asking for a square circle. The limit is not in God's power; it is in the concept being described. Omnipotence does not include the power to bring about logical contradictions, because there is no genuine "power" that corresponds to an impossibility. The paradox disappears once omnipotence is defined with this qualification. For challenges involving the compatibility of God's attributes with each other, such as omniscience and human freedom, see Defeater 7, which addresses these in full. 3. The default rational stance favors possibility in the absence of demonstrated incoherence. In philosophy, the absence of a demonstrated contradiction in a concept is the standard prima facie evidence that the concept is coherent and therefore possible. We do not withhold the judgment "this concept is coherent" until a proof of coherence is provided. We withhold it only when a contradiction has actually been identified. Think of the concept of a black hole. Before Einstein's general relativity, the idea of an object so massive that light could not escape it might have struck many people as strange or counterintuitive. But strangeness is not contradiction. Once physicists showed no internal contradiction in the concept, the question became an empirical one: do they exist? Similarly, once no internal contradiction in maximal greatness is demonstrated, the question becomes: is the concept actual? And the modal argument shows that, given the special nature of necessary existence, actual follows from possible. 4. The argument shifts the philosophical burden decisively. The atheist cannot simply sit back and deny that God exists. To resist this argument's conclusion, they must actively defend the claim that God's existence is metaphysically impossible by identifying a genuine contradiction in the concept of maximal greatness. Simply saying "I find it unlikely" or "I don't see the evidence" is insufficient. This is a substantially heavier burden, and the argument forces it into the open. Until that burden is discharged, it remains rational to accept P1 and, by the logic of the argument, C1.
+ At best this argument shows some "maximally great being" exists, not the specific God of Christian revelation. The gap between a philosophical abstraction and the God of the Bible is enormous.
1. This is correct, and it is not what the argument is designed to do. The modal ontological argument is designed to establish one specific conclusion: that a necessarily existent, personal being with maximal greatness, meaning omnipotence, omniscience, and moral perfection, exists in every possible world including the actual one. This is what it establishes, and it establishes this rigorously. 2. What this conclusion already rules out. The conclusion is not theologically thin. It immediately eliminates several significant positions: atheism and robust naturalism, the view that only physical reality exists; finite godism, the view that a god exists but is limited in power, knowledge, or goodness; and polytheism in its classical forms, since multiple beings cannot each independently possess maximal greatness (two omnipotent beings each claiming all power is incoherent). The argument clears a great deal of philosophical ground. 3. Further arguments build on this foundation to identify the God of Scripture. The modal ontological argument is one piece of a larger cumulative case. Other arguments contribute additional attributes. The cosmological argument establishes that the necessary being is the cause of all contingent existence. The moral argument establishes that this being is the objective ground of moral value. The fine-tuning argument establishes that this being is a rational, intelligent designer of extraordinary precision. The argument from consciousness establishes that this being is personal and the source of mind. Together these converging arguments paint an increasingly specific portrait that aligns with the God of classical theism. Evidence from Scripture and the historical resurrection then addresses the question of which religious tradition accurately describes this God's self-revelation. The ontological argument provides the philosophical foundation; the other arguments and the historical evidence fill in the portrait.
+ Immanuel Kant argued in the Critique of Pure Reason (1781) that existence is not a real predicate. When we say "God exists," we are not adding a property to the concept of God. We are merely saying the concept has an instance in the world. You cannot make a concept "greater" by adding existence to it, because existence is not a property that belongs to concepts. This destroys the ontological argument at its foundation.
1. Kant's objection, stated precisely. In the Critique of Pure Reason (A598/B626), Kant argues that "Being is evidently not a real predicate; that is, it is not a concept of something which could be added to the concept of a thing." When I think of 100 thalers in my mind and then say they exist in my pocket, the 100 thalers in my pocket have exactly the same properties as the 100 thalers I imagined. Existence adds nothing to the concept; it merely says the concept is instantiated. Applied to the ontological argument: adding "exists in reality" to the concept of God does not make God greater in any genuine sense, it only says the concept has an instance. The argument's move from concept to existence is therefore illegitimate. This objection carries genuine force against Anselm's original formulation in the Proslogion, where the key move is that a God existing in reality is greater than a God existing only as an idea. If existence is not a predicate, the comparison does not make sense. 2. Plantinga's modal version does not argue for bare existence as a great-making property. The argument presented here is Plantinga's reconstruction, not Anselm's original. Plantinga's version does not claim that bare existence, the mere fact of being instantiated, is a great-making property. Kant is entirely correct that bare existence is not a property you can add to a concept to make it greater. What Plantinga argues is that necessary existence is a genuine modal property, and that it is a great-making property. Necessary existence is not the same as bare existence. It is the property of existing in every possible world, of being such that one's non-existence is a logical impossibility. This is a genuine and substantial property, one that can distinguish beings from each other in terms of their modal status. 3. The difference between bare existence and necessary existence is real and significant. Consider two mathematical objects: the number 7 considered as something that might or might not exist depending on circumstances, versus the number 7 considered as a necessarily existing abstract object whose non-existence is logically impossible. Even Kant would grant that these are different modal descriptions. The second adds genuine information about the object's modal profile. Think of a promise. "I will help you" is a contingent commitment that can fail for many reasons. "I necessarily will help you under any circumstances whatsoever" is a qualitatively stronger commitment. Necessary existence works analogously. It is a richer and stronger modal property than bare existence, not merely existence with extra emphasis. 4. Kant's objection therefore does not defeat Plantinga's version of the argument. Kant showed that bare existence cannot be used to compare concepts in terms of greatness, and he was right. Plantinga's argument does not use bare existence in that way. It uses necessary existence, which is a genuine modal property that Kant's critique does not reach. The two arguments are targeting different properties. Kant's refutation is powerful but its scope is limited to formulations, like Anselm's original, that rely on comparing a concept-only God with a reality-including God. Plantinga's version operates on different grounds and survives Kant's critique.
+ The argument moves from "we cannot find a contradiction in the concept of maximal greatness" to "a maximally great being is genuinely metaphysically possible." But conceivability is a poor guide to metaphysical possibility. Before non-Euclidean geometry, Euclidean space seemed necessarily true. Before quantum mechanics, classical determinism seemed obviously possible. Our failure to find a contradiction might mean only that our conceptual powers are limited, not that the concept is genuinely coherent.
1. The objection is genuine and Plantinga acknowledges its force. Peter van Inwagen ("Ontological Arguments," Noûs, 1977) and others have pressed this challenge. It is correct that conceivability is not an infallible guide to metaphysical possibility. History offers examples of ideas that seemed coherent but turned out to contain hidden inconsistencies. This means P1 cannot be established with absolute certainty by mere failure to find a contradiction. 2. The default rational stance favors possibility absent demonstrated incoherence. However, the objection sets an unreasonably high bar. We routinely and rationally accept that concepts are possible when we cannot identify a contradiction in them. The concept of a black hole, before it was observed, contained no demonstrated contradiction, and physicists were rational to treat it as possible and investigate it. The concept of a living organism on another planet contains no demonstrated contradiction, and scientists are rational to treat it as possible and search for it. The same standard applies to maximal greatness. We cannot be certain the concept is coherent, but the rational default, in the absence of a demonstrated contradiction, is to treat it as possible rather than impossible. The skeptic cannot point to an identified contradiction; they can only gesture at the theoretical risk that one might be lurking. That is insufficient grounds for denying the possibility premise. 3. Conceivability is a genuine, defeasible guide to possibility. The examples of Euclidean geometry and classical determinism illustrate that conceivability can mislead. But these cases involved concepts that turned out to conflict with deep mathematical or physical facts. The skeptic owes an account of what deep fact makes maximal greatness impossible. Without a specific candidate for the hidden contradiction, the risk that one exists is speculative rather than evidenced. Speculative risk is not sufficient to defeat a reasonable possibility claim. 4. The concept of maximal greatness has independent support, not just absence of refutation. The case for P1 does not rest solely on the failure to find a contradiction. Other theistic arguments provide independent convergent evidence that a being with the relevant attributes exists. The cosmological argument suggests a necessarily existing first cause. The moral argument suggests a necessary ground of objective moral value. The fine-tuning argument suggests a rational designer of extraordinary intelligence. If these arguments have force, they provide positive evidence that a being with maximal greatness exists, which is strong evidence that the concept is metaphysically possible. The modal ontological argument does not stand alone; it is supported by a wider body of independent evidence that converges on the same conclusion. See Defeater 3 for the related discussion of how the burden of proof falls on those who assert impossibility.
+ Even if each attribute of maximal greatness is individually coherent, the combination might be incoherent. Philosopher Wes Morriston and others argue: Can omnipotence and moral perfection coexist? If God can do anything, He can do evil things, but a morally perfect God cannot do evil. Can omniscience and genuine human free will coexist? If God knows infallibly what I will freely choose, my choice seems determined in advance. If the attributes jointly incoherent, P1 is false.
1. The challenge requires showing a genuine contradiction, not a surface tension. Wes Morriston ("Omnipotence and Necessary Moral Perfection: Are They Compatible?" Religious Studies, 2001) presses this challenge carefully. It deserves a careful response. The key issue is whether the apparent tensions between attributes rise to the level of logical contradiction or whether they dissolve once the attributes are defined more precisely. 2. Omnipotence and moral perfection: the apparent conflict resolved. The apparent conflict runs: an omnipotent being can do anything; a morally perfect being cannot do evil; therefore these attributes cannot coexist. But this argument trades on an imprecise definition of omnipotence. Omnipotence means having all power over logically possible states of affairs. Bringing about a logical impossibility, such as a married bachelor or a round square, is not a genuine power, because there is no coherent state of affairs to bring about. Similarly, a morally perfect being sinning is not a coherent state of affairs; it is not a limitation on power but a description of something that has no coherent content. A perfectly good will acting against perfect goodness is a contradiction, like a perfectly round object having corners. The standard illustration is the paradox of the stone: can God make a stone so heavy He cannot lift it? The answer is that "a stone too heavy for an omnipotent being to lift" describes a logical impossibility. There is no such thing. God's inability to create this non-thing is not a limitation on His power; it is a recognition that logical impossibilities have no content for power to act on. Far from undermining omnipotence, this clarification shows that omnipotence and moral perfection are compatible once both are defined with precision. 3. Omniscience and human freedom: the main proposals for resolution. The tension between God's foreknowledge and genuine human free will is perhaps the most debated issue in philosophy of religion. Several serious proposals exist. Molinism, developed by the 16th-century Jesuit Luis de Molina, holds that God has "middle knowledge": knowledge of what every possible free creature would freely choose in every possible situation. God can have complete foreknowledge while creating a world in which creatures genuinely choose freely, because His knowledge tracks what they would freely do rather than determining it. Open theism holds that God voluntarily limits His foreknowledge of future free choices in order to preserve genuine creaturely freedom. On this view, omniscience is defined as knowing all truths that can be known, and future free choices are not yet determined truths. Simple foreknowledge models hold that God's timeless knowledge of the future is compatible with free will because God's eternal perspective does not impose causal determination on temporal events, any more than watching a recording of a past event retroactively determines it. These proposals are contested among philosophers and theologians. But their existence demonstrates that the tension between omniscience and freedom has not produced a decisive proof of incoherence. The challenge remains an open philosophical debate, not a closed refutation. 4. The burden of demonstrating incoherence remains unmet. Each specific challenge to the joint coherence of the divine attributes has generated extensive philosophical literature with serious responses. None of these challenges has achieved the status of a consensus demonstration that maximal greatness is logically impossible. The concept continues to be defensible by serious philosophers, which means P1 retains its standing as a rational premise.
+ Jordan Howard Sobel argues in Logic and Theism (Cambridge University Press, 2004) that the modal machinery of the ontological argument risks proving too much. If we accept that the apparent coherence of a concept justifies inferring its possibility, and if possible necessary existence entails actual existence, then we might be able to use similar reasoning to derive the existence of multiple or conflicting necessary beings, or to generate other problematic conclusions the argument cannot distinguish from theism.
1. Sobel's objection, stated carefully. In Logic and Theism (Cambridge University Press, 2004), Jordan Howard Sobel raises the concern that the modal argument's machinery, if valid, is not specific enough to single out the God of classical theism. If "apparently coherent concept of a necessarily existing being" plus "S5 modal logic" yields existence, the question becomes whether the machinery can be applied to other apparently coherent concepts of necessary beings in ways that generate conflicts or absurdities. If it can, the argument proves too much and its conclusions are suspect. 2. Maximal greatness is constrained by uniqueness in a way arbitrary concepts are not. The key restraint on the modal machinery is the requirement that the concept in question be internally coherent and represent a genuine absolute maximum. Maximal greatness is constrained by this requirement in a way that prevents escalation. A maximally great being, by definition, has all logically possible power, all knowledge of truths, and perfect goodness. Two beings each of whom independently has all logically possible power would conflict: if each has all power, neither can limit the other, yet omnipotence would seem to imply the ability to limit any other being. This means the concept of multiple maximally great beings is not coherent in the way the concept of a single maximally great being is. The modal argument, applied with the coherence requirement intact, generates at most one maximally great being, not a set of competing ones. 3. The coherence requirement filters out arbitrary necessary being concepts. Not every description of a "necessarily existing being" passes the coherence filter required for P1. A "necessarily existing perfectly evil being" is incoherent for the reasons given in Defeater 1. A "necessarily existing being that is maximally powerful but ignorant" is incoherent because maximal power would seem to include the power to know anything knowable. The machinery only runs for concepts that pass genuine internal coherence scrutiny, and maximal greatness as defined by omnipotence, omniscience, moral perfection, and necessary existence is the concept that classical theism proposes and defends. 4. The argument's power lies in the uniqueness of the concept it employs. Sobel's challenge is most powerful if we could easily generate multiple coherent necessary being concepts and use the same modal machinery to derive their existence in conflict with each other. But the burden lies on the challenger to produce such a concept that is genuinely coherent under scrutiny and genuinely conflicts with maximal greatness. The centuries of philosophical debate surrounding the concept of God have not produced a successful competing concept that passes these tests. The escalation concern remains a theoretical risk rather than a demonstrated problem.

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