Showing posts with label axiomatic. Show all posts
Showing posts with label axiomatic. Show all posts

21 August 2016

Revisiting Anselm's Ontological Argument

Posted by Thomas Scarborough

On the surface of it, Anselm's ontological argument seems to be absurd: One can think of nothing greater than God, therefore God exists. And yet our fascination with Anselm endures. What is this strange attraction?

Anselm of Canterbury (1033-1109 AD) was a medieval philosopher and theologian, who put forward the celebrated ontological argument for the existence of God. This has been discussed by many of the 'big names' in philosophy, including René Descartes, David Hume, Immanuel Kant, and Georg Wilhelm Friedrich Hegel – and more recently by Charles Hartshorne, Karl Barth, and Alvin Plantinga, among others.

What is remarkable about Anselm's argument is that, while it would seem to have been refuted time and time again – beginning with Gaunilo of Marmoutiers in 1078 – it just keeps on bouncing back.

I propose that we may find an explanation for this abiding fascination with Anselm, if we assume (as was indeed the case) that Anselm did not have access to the postmodern language of epistemology – in particular, to the nonfoundationalism which we know today. What might his argument have looked like if he had?

But first, for the sake of completeness, the core of Anselm's original ontological argument, translated by Scott Moore:

Even the fool is compelled to grant that something greater than which cannot be thought exists in thought, because he understands what he hears, and whatever is understood exists in thought.

And certainly that greater than which cannot be understood cannot exist only in thought, for if it exists only in thought it could also be thought of as existing in reality as well, which is greater.

We shall pass over the detail of previous historical discussion, as this is not of special importance here. What is indeed important is just a single feature of Anselm's argument – namely, the word 'greater'. What does Anselm refer to with this word? A supreme being? A perfect being? A necessary being? What is he thinking is 'greater'?

The philosophy writer Chirag Mehta asks: what is the great-making property? Or more to the point, the linguist Michael Geis notes that adjectives such as 'greater' are normally relativised to some reference class. To put it simply, adjectives typically refer to something definite. But where is Anselm's reference class? It isn't there.

Supposing that we take a leap of intuition. Aristotle used the Greek word ἀξίουν (that which is worthy) to describe axioms. We know, too, that Anselm was well familiar with Aristotle's work. ἀξίουν is derived from the word ἄξιος (worth, or worthy), and it means 'a statement or proposition on which an abstractly defined structure is based'. 

Now let us suppose that Anselm intended to speak of something more worthy than which cannot be thought – in the sense of the ultimate Axiom – the Axiom which lies beneath all axioms: that Axiom which is 'more worthy' than all others. In keeping with this, let us drop Aristotle's word ἀξίουν into Anselm's work, so replacing Anselm's adjective 'greater':

Even the fool is compelled to grant that something more ἀξίουν (axiomatic) than which cannot be thought exists in thought, because he understands what he hears, and whatever is understood exists in thought.

And certainly that more ἀξίουν (axiomatic) than which cannot be understood cannot exist only in thought, for if it exists only in thought it could also be thought of as existing in reality as well, which is more ἀξίουν (axiomatic).

It will be seen that the replacement works. Perhaps therefore Anselm did not intend (seemingly absurdly) that one cannot conceive of anything greater than God. Perhaps he intended that God is the ἀξίουν beneath all axioms. Even if this was not his intention, it would seem to deliver an ontological argument.

With the rising tide of nonfoundationalismtoday, axioms are in trouble. We need foundations, yet we do not find them. The theologian Deane Galbraith notes that the problem today is not merely that our axioms are ungrounded, but that they are now 'grounded arbitrarily'. This implies, too, that we find ourselves in a great personal and social predicament.

There has to be an ἀξίουν, and it has to be an ἀξίουν which is more worthy than all others. How then might God represent that ἀξίουν? This lies beyond the scope of this simple post. Yet if this is what Anselm should have intended – namely, that we are in desperate need of the ultimate Axiom, then his argument may begin to make eminent sense.