St. Anselm, Archbishop of Cantebury (1033-1109 AD), made the following argument

Question

St. Anselm, Archbishop of Cantebury (1033-1109 AD), made the following argument for the existence of God, as presented by Kenneth Einar Himma (Seattle Pacific University) in the emph{Internet Encyclopedia of Philosophy} url{http://www.iep.utm.edu/ont-arg/}. Represent this argument using predicates and quantifiers, and identify which of the Rules of Inference are utilized in Anselm's argument.

By definition, God is a being than which none greater can be imagined.
A being that necessarily exists in reality is greater than a being that does not necessarily exist.
Thus, by definition, if God exists as an idea in the mind but does not necessarily exist in reality, then we can imagine something that is greater than God.
But we cannot imagine something that is greater than God.
Thus, if God exists in the mind as an idea, then God necessarily exists in reality.

God exists in the mind as an idea.
Therefore, God necessarily exists in reality.

Explanation / Answer

While St. Thomas Aquinas (1224-1274) believed that God's existence is self-evident, he rejected the idea that it can be deduced from claims about the concept of God. Aquinas argued, plausibly enough, that "not everyone who hears this word 'God' understands it to signify something than which nothing greater can be thought, seeing that some have believed God to be a body." The idea here is that, since different people have different concepts of God, this argument works, if at all, only to convince those who define the notion of God in the same way.

The problem with this criticism is that the ontological argument can be restated without defining God. To see this, simply delete premise 1 and replace each instance of "God" with "A being than which none greater can be conceived." The conclusion, then, will be that a being than which none greater can be conceived exists - and it is, of course, quite natural to name this being God.

Nevertheless, Aquinas had a second problem with the ontological argument. On Aquinas's view, even if we assume that everyone shares the same concept of God as a being than which none greater can be imagined, "it does not therefore follow that he understands what the word signifies exists actually, but only that it exists mentally."

One natural interpretation of this somewhat ambiguous passage is that Aquinas is rejecting premise 2 of Anselm's argument on the ground that, while we can rehearse the words "a being than which none greater can be imagined" in our minds, we have no idea of what this sequence of words really means. On this view, God is unlike any other reality known to us; while we can easily understand concepts of finite things, the concept of an infinitely great being dwarfs finite human understanding. We can, of course, try to associate the phrase "a being than which none greater can be imagined" with more familiar finite concepts, but these finite concepts are so far from being an adequate description of God, that it is fair to say they don't help us to get a detailed idea of God.

Nevertheless, the success of the argument doesn't depend on our having a complete understanding of the concept of a being than which none greater can be conceived. Consider, for example, that, while we don't have a complete understanding (whatever this means) of the concept of a natural number than which none larger can be imagined, we understand it well enough to see that there does not exist such a number. No more complete understanding of the concept of a maximally great being than this is required, on Anselm's view, to successfully make the argument. If the concept is coherent, then even a minimal understanding of the concept is sufficient to make the argument.

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