On the Necessity of the Ontological Argument What I propose to do here is look briefly at Leibniz's re-writing of the Ontological Argument and see what conclusions can be drawn with regard to its central idea or concept - namely, necessary existence. Leibniz's re-working of the argument is a response to a perceived weakness in Descartes' articulation of the argument (which itself is a re-writing of Anselm's argument) so before examining Leibniz's own account let us briefly recall the form of the argument in Descartes. The ontological argument is of course an a priori argument for the existence of God, which is to say that it attempts to prove the existence of God not on the basis of experience but on the basis of rational deduction alone. In effect, it tries to show us that God's existence can be proved simply by unfolding what is contained in the concept of God. The simplest articulation of Descartes' argument would go something like this: 1. God contains all perfections (e.g. justice, goodness, power etc.). 2. Existence is a form of perfection (i.e. it is better to exist rather than not exist, and better to exist in a way that is unlimited etc.). 3. Therefore God exists (i.e. it would be a contradiction in the idea of God for God not to exist). What the argument wants us to see is that God's existence is necessary, or to put it another way that existence is contained in the concept of God so that it would actually be a contradiction to say that God doesn't exist. In other words, existence belongs to the essence of God in the way that having three sides belongs to the essence of a triangle. In the Meditations Descartes admits that it may appear to be a "sophistry" to derive the existence of a thing from its concept (or essence) but existing (and existing necessarily) is, he argues, the very attribute that distinguishes God from any finite being. This is why in the case of God (and God alone) we can know his existence a priori, or from a mere analysis of the concept of God, whereas with any finite being knowledge of its existence would have to be based on experience. Despite Descartes' confidence few philosophers before or since have been prepared to accept that the mind can derive the existence of a thing from its concept. Aquinas, for example, believed that existence belongs to God's essence yet never accepted that the mind could know of the existence of God a priori. Rather one would first have to know God's existence on experiential grounds in order to properly know that existence belongs to God's essence. Aquinas thought in fact that knowing about the existence of anything a priori is just the sort of thing that only God could do. Similarly, Kant rejected the ontological argument on the grounds that existence couldn't be treated as a predicate. All genuine predicates or descriptive terms, Kant argued, add something to our concept of a thing (thus saying that John is loyal, generous, has a good sense of humour and so on all gives us an extra bit of information about John). Existence, however, adds nothing to our concept of a thing, for the concept remains the same regardless of whether a thing exists or not - e.g. the concept of a hundred pounds remains the same regardless of whether it exists or not. It should perhaps be pointed out that Kant's idealist successor Hegel thought that Kant had missed the point with the ontological argument. After all, it is not entirely clear that one can't treat existence as a predicate and in the case of God (as Descartes had already argued) necessary existence is one of the "properties" that distinguishes the concept of God from the concept of any finite entity. In this sense one could argue that existence most certainly is a predicate - in fact it tells us something fundamentally important about God that adds quite a lot to our concept (and as Hegel put it, one can't compare God to a hundred pounds). Nevertheless, most philosophers would still baulk at the idea of deriving the existence of a thing from its concept alone. The ontological argument clearly presupposes that, in some sense, a contradiction in the idea of God (i.e. the idea of God as not existing) would also be a contradiction in reality. It is in this connection that I want to examine Leibniz's re-writing of the ontological argument for it not only clarifies the role of ideas in relation to reality but seems to have something important to say about the relation between necessity and possibility. Fundamentally Leibniz believed that the ontological argument was valid but "incomplete" in the form in which Descartes presented it. The reason it is incomplete (and therefore not a proper proof) is because Descartes fails to show that the idea of God itself is a "real" idea and not a chimera or illusion. Now according to Leibniz an idea is "real" (or perhaps we could say is "valid") if it is possible. Thus, a square circle is not a real idea in Leibniz's sense since it refers to what is intrinsically impossible whereas a red square is possible (and thus a "real" idea). In Leibniz's account God exists if he is possible - but how do we know God is even possible? To demonstrate this Leibniz must do what Descartes failed to do - show that the concept of God is a "real" concept and not a chimera. Leibniz agrees that the concept of God is the concept of a being that contains all perfections. But what, properly speaking, is a perfection? A perfection, Leibniz says, is a simple (i.e. indivisible or unanalysable) quality that is both intrinsically positive and absolute - i.e. can be expressed without limit (or infinitely). Thus goodness is a perfection ( a simple quality which cannot be analysed into constituent parts) which is both positive and can be conceived without limit (likewise, Leibniz would say, justice and power are also perfections). Not all qualities are perfections because some can only be conceived with limits (for example any material object is intrinsically limited by its nature as a material object). The question is thus whether it is possible to think a being that contains all perfections that is to say, think such a concept without contradiction. Leibniz argues that the onus of proof here is on the skeptic: to show it is impossible for a being to possess all perfections one would have to show that there is a necessary contradiction in the idea of a being containing all perfections, for if there is no necessary contradiction, then such a being is possible. But in fact, Leibniz believes, one cannot show that there is a necessary contradiction in the idea of such a being. If one could one would have to be able to prove it either by demonstration or by reference to self-evidence (necessary truths must be known in one way or the other - by proof or by self-evident ideas). Now it is not self-evident that a being cannot contain all perfections. But neither can it be proved by reference to the perfections themselves for since the perfections of goodness and power are (unanalysable) simple qualities one cannot demonstrate any impossibility in their existing in the same being - and this applies to anything else one can properly regard as a perfection. In other words, there is no contradiction in conceiving a being that possesses all perfections. We are now in a position to begin to understand Leibniz's re-writing of the ontological argument. The argument goes something like this: 1. It is possible for there to be a being which contains all perfections (i.e. what we call God). We know that it is possible because it is not impossible. If the idea of such a being were impossible one would be able to demonstrate a necessary (a priori) contradiction in the existence of such a being - but precisely this cannot be done. 2.Now the concept of a possible being that contains all perfections also includes the perfection of existence (i.e. it not only includes existence as such but existing "absolutely" or "without limits"). In other words, we cannot exclude existence from the concept of such a being (nor can we show that it contradicts any other perfection). 3.But if God is possible, and the idea of God includes all perfections (including existence), then God must exist (i.e. not existing would be a contradiction in the idea of God). Now since it would be a contradiction for God not to exist, God not only exists but exists necessarily. In other words: if God's existence is possible, then it is necessary. However, Leibniz argues, we know that God is possible, therefore we can also know his existence is necessary (we can know it a priori). How, though, is Leibniz's rewriting of the argument an improvement on Descartes? To understand this we need to draw out its implications more fully. Much of Leibniz's reasoning centres around the relation between existence and possibility and existence and essence. A thing is possible if, by virtue of its nature or essence, it is not impossible. Thus, anything the essence of which is not impossible (i.e. contains no contradiction) can, in principle, exist. This doesn't mean of course that anything that is possible actually exists for, as Leibniz typically argues, whatever is possible must also have an existential ground (possibility doesn't exist merely in the abstract). Thus, the world we live in is a possible world but a (or "the") possible world that God chose to create. The actual existence of our "possible world" is thus grounded in God who chose to actualize our world rather than another. All merely possible beings (i.e. ones that than can exist according to their nature or essence) thus presuppose a real existential ground - they cannot actually exist merely because they are possible (in fact if there is not an existential ground that could actualize them they are not even real possibilities). Thus, any possibility that is actualized always presupposes a real existential ground which allows it to be brought about (for example, human beings have the possibility of going to the moon because they can develop the physical technology to achieve this end). This seems like a sound principle and yet, as we have seen, Leibniz appears to make an exception with God. In the case of God alone it appears almost to be the other way round: with God his mere possibility (or essence) is enough to "ensure" his existence (although we cannot of course regard his essence as somehow standing in a causal relation to his existence). Has the great rationalist not then contradicted himself - reversing a perfectly sound principle that he himself normally applies to make an exception for God? Leibniz has two main answers to this. The first is the traditional theological observation that the concept of God alone refers to a being whose essence includes existence - indeed, this is the very property that distinguishes God from a finite being as we have seen. The second point, building on the first, is that unless there is some being that exists by virtue of its essence we cannot in fact explain the existence of other beings, and here we perhaps come to the heart of what is at stake in the ontological argument as far as Leibniz is concerned. Anything that is merely possible, Leibniz argues, must be grounded in something actual or existent, for otherwise it could not exist (i.e. could not come into being or be actualized). But if everything fell into the category of the merely possible then there is no possible explanation of how anything exists - thus contradicting the Principle of Sufficient Reason according to which nothing is without reason (i.e. there is a sufficient reason why everything is the way it is and not otherwise). The point, however, is not simply that we couldn't give an account of how anything exists - the point is that without a being that exists by its nature (or necessarily) then nothing could actually exist in the first place. In fact, Leibniz goes further than this: if there was no being that existed according to its essence then it is not merely that nothing would actually exist, nothing would even be possible. The existence of a necessary being is thus the ground not merely of the actuality of anything that exists but the ground of its possibility. In Leibniz's thought this strengthens the case for God even further, for we not only require a necessary being to explain the existence of non-necessary (or contingent) beings we require a necessary being to explain how it is even possible for anything to exist at all. The upshot is that without a necessary being - or a being that exists according to its essence - no other being is even possible. The idea of the world just existing (without any explanation) as a contingent matter of fact - as though it just happens to exist for no reason but might not have - is thus ruled out by Leibniz, and for good philosophical reasons. Since the world is actual (i.e. since it exists) it was clearly possible, but if it was possible it must have an existential ground and this existential ground cannot itself be merely possible - it must be necessary. In other words, all merely possible being presupposes necessary being for it presupposes that which is not merely possible but both existent and necessary. We can safely assume that Leibniz would not have been impressed by philosophical doctrines asserting that the existence of the world is merely a "brute fact" or contingent "absurdity". Perhaps he would have asked them to "prove" their claim rather than merely assert it - at the very least he would have accused them of failing to apply the principle of sufficient reason in any consistent way. The value - one might say, necessity - of the ontological argument, particularly in the way that Leibniz develops its implications, lies in the way that it forces us to contemplate the notion of necessary and eternal existence as the "ground" of the possible (and indeed forces us to see the necessity in this idea itself, a necessity which is not merely psychological but metaphysical). The usual or common criticism that the argument wildly leaps from concept to reality crudely overlooks the fact that concepts themselves are valid insofar as they refer to possible, actual or, indeed, necessary being so that if one can show that possible or actual being presupposes necessary being one is on strong ground philosophically. To fully understand the reasoning in Leibniz's account we must understand how the notion of the contingent converges with that of the possible. A contingent being is one that doesn't necessarily exist therefore prior to its actual existence its being is merely possible. Whatever exists but was merely possible (and not necessary) therefore requires a sufficient reason for its existing rather than not existing and this sufficient reason must be something that exists necessarily (therefore even an infinite series of contingent beings would still require a necessary being insofar as the series itself is contingent). However, for all its ingenuity, the argument still doesn't prove that the personal God of theism (with all perfections etc.) actually exists and the reason is not hard to determine. While the argument refers to God as a hypothetical being containing all perfections it will be noticed that there is only one of these perfections that can effectively "define God into existence" (as some would put it) and that is the perfection of existence itself - and therein lies the problem. Even if one accepted the absolute necessity of a necessary being it is perfectly possible to conceive necessary existence without identifying this with the personal God of theism (with all of his particular attributes etc.). In other words, necessary and eternal existence can be conceived independently of any reference to the personal God of traditional theism or rational theology. Therefore it is not really enough to show that whatever is possible presupposes something necessary for one needs an independent argument to show, in addition, that a necessarily existing being must be identical with the God of traditional theology (and must therefore have all the traditional predicates of goodness, justice, power etc., conceived as pertaining to a specifically personal and transcendent God). This is the real reason why the ontological argument fails to show the existence of a personal God - in every other aspect it appears almost "unassailable". It is worth noting that most of the traditional theological arguments for the existence of God rest, in some way or another, upon the assumption that the existence of the world is itself contingent and thus stands in need of further explanation, or as Leibniz puts it, stands in need of a "sufficient reason". Without a necessary being one could never give an account of why the actual world exists, or why there is something rather than nothing. There are two closely connected assumptions here both of which can be called into question. The first is the assumption, almost always taken for granted, that the existence of the world is a contingent matter of fact (or a collection of contingent matter of facts) that might have been otherwise (interestingly, the same assumption underlies the existentialist view that the existence of the world is merely contingent or even "absurd"). The second, following closely on the first, is the implicit assumption that the existence of the world needs a special explanation because somehow it would have been simpler or more "reasonable" for there to have been nothing at all rather than a world - as though it would somehow have been a more natural "state of affairs" (if one can put it like this) if nothing had existed. With regard to the first assumption there is always a possibility that we are merely assuming the world to be contingent because we lack proper insight into its necessity. In a way this a natural error to which the mind is not only prone but seemingly predisposed by its own nature. But the fact that we might lack insight into the necessity of the world doesn't by itself entail that existence is merely contingent. There are, of course, philosophies (e.g. that of Spinoza) and religious traditions (e.g. Buddhism) in which the world is seen as possessing necessary and eternal existence so that there is no need to look beyond the world for an external explanation. It is true that the mind is more naturally inclined to think in terms of finite beginnings and endings (birth and death etc.) rather than in terms of the eternal but the fact that the mind has difficulty grasping necessary and eternal existence (an idea which necessarily exceeds our powers to imagine it) is not really helped by transferring the properties of necessary and eternal existence to something allegedly beyond the world. All this achieves is to transfer necessity and eternity from the actual to the hypothetical - a strategy which doesn't so much solve a philosophical problem as "double" it, for now we still have the "difficult to think" properties of necessary and eternal existence but applied instead to a hypothetical being whose existence is not immediately evident. No doubt the stronger consideration that impels rational theology toward the postulation of a transcendent God is the question posed by Leibniz as to why there is something rather than nothing (i.e. how and why anything can exist at all). But this question also has its assumptions, not merely the assumption that the actual world is contingent and must therefore be drawn from a pre-existent realm of possible worlds, but that somehow it would have been simpler, easier, or more understandable if nothing at all had existed rather than something - as though nothing would have been a natural state of affairs whereas being requires a special explanation as to why it should be the case. As the French philosopher Henri Bergson (1859-1941) pointed out, there is a certain confusion that seems to arise here from the fact that the concept of nothing appears to contain less than the concept of being whereas it actually contains more, for properly understood the concept of nothing is really the concept of being itself with a minus sign or logical negation added on. We then effectively set up the derived (or chimerical) concept of nothing as the opposite of being as though being and nothing were equal possibilities. Having done this we then ask why there is being rather than nothing as though nothing could just as easily (or more reasonably) have been the case (just as if being and nothing were equal and competing metaphysical possibilities). But in fact there are no proper grounds for regarding nothing (or non-being) - i.e. the complete absence of being - as referring to a real metaphysical possibility (quite apart from the fact that there are no conceivable circumstances in which this alleged "possibility" could be shown to be the case). As Leibniz himself argued, real possibility must always be grounded in existence. But since we have no reason to regard nothing or non-being as even possible we have no reason to regard the existence of the actual world as anything other than necessary. After all, if there is no real possibility of nothing or non-being then there is no real possibility either of the world not existing. Likewise, if the actual world cannot not exist it is idle to speak of it being drawn from a host of merely possible worlds for, as Bergson pointed out, the possible in this context is merely the thought of the actual projected back onto an imaginary state of "preexistence". We should therefore take seriously the notion of necessary existence but rewrite the ontological argument so that necessary existence is applied to its proper "object" - the actual world. In this spirit I will therefore conclude the essay with an alternative atheistic version of the ontological argument which goes something like this: 1.That which exists necessarily cannot not exist. 2.The actual world cannot be coherently conceived as not existing - i.e. total non-being or non-existence is not a real possibility. 3.Therefore, since its non-existence is not a real possibility, the actual world exists necessarily - i.e. it cannot not exist. Finally, it should be noted that the atheistic version of the ontological argument also has implications for our employment of the idea of God, for the notion of God only really makes sense on the assumption that the actual world requires a source of external causality or external necessity as a kind of ontological or metaphysical supplement to its own lack. In the absence of this assumption making any sense the concept of a transcendent God becomes a chimerical or illusory idea based on hypothesizing a being by negating or overlooking an aspect of the real - i.e. God becomes as nothing. Fundamentally either the world exists necessarily (contains its reason in itself) or God does - but it cannot be that both statements are correct. Therefore, if the existence of the world itself is necessary then it follows that God isn't possible (i.e. is a chimerical idea). Or perhaps we should say: God isn't necessary, therefore he isn't possible...