A.W. Moore

A.W. Moore’s two most recent books are Gödel’s Theorem: A Very Short Introduction and The Human a Priori, a collection of essays.

Ludwig Wittgenstein’s Tractatus Logico-Philosophicus, the only book he published during his lifetime, is one of the greatest philosophical works of the 20th century. It might have been expected, when it first appeared in 1921, to have limited appeal. It is very much the work of a philosophers’ philosopher, forbiddingly technical in places and esoteric throughout. Yet it has gone...

The world, according to Ted Sider, has a basic structure. An optimal description of the world must capture this structure. It must also consist of truths. But these are two distinct requirements. We can produce more and more truths about the world and still not come any closer to capturing its structure. To do the latter we need to produce not just truths, but truths of the right sort. Now it...

“There are fundamental reasons of principle that, when it comes to settling unanswered mathematical questions, we shall never be able to dispense with divination and inspiration in favour of a mechanical application of rules. But even if the holy grail had existed, and even if we had found it, it might have been of purely theoretical interest. Of what practical significance would an algorithm have been if it had enabled us to determine whether or not the Reimann Hypothesis is true, but only if we had been able to spend a trillion times as long on the problem as it will take for the earth to be swallowed up by the sun?”

How to Catch a Tortoise: Infinity

A.W. Moore, 18 December 2003

“According to the iterative conception, a set is something whose existence is parasitic on that of its members: the members exist ‘first’. Thus there are, to begin with, all those things that are not sets (planets, twins, positive integers etc). Then there are sets of these things. Then there are sets of these things. And so on, without end . . . But there never comes a set to which every set belongs. There is no set of all sets.”

Letter

The Cat’s Whiskers

30 October 1997

I found it hard at times to recognise my book Points of View in Jerry Fodor’s review (LRB, 30 October). The fact that three of the first six paragraphs were devoted largely to urging on me a distinction between the perspectival and the subjective which I am myself at pains to draw did not augur well. But I want to focus on Fodor’s claim that I have an account of representation from which it follows...

One can believe in moral progress without accusing past ages of wickedness or stupidity (though there is plenty of both in all ages). Perhaps progress can occur only through a series of historical stages,...

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Cat’s Whiskers

Jerry Fodor, 30 October 1997

Proust’s Swann is obsessed by what he doesn’t know about Odette. His anguish has no remedy; finding out more only adds to what he does know about her. Since Kant, lots of philosophers...

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