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Wednesday, July 2, 2008

A most extraordinary mathematical proof

Reminded recently by Richard Dawkins1 of Aldous Huxley's mostly forgotten classic novel of eighty years ago, Point Counter Point, I've been reading it again, and last night I arrived at the passage whose "extraordinary proof" Dawkins quoted:
"Mutton must be going out of fashion," said Illidge. "Like God," he added provocatively, "and the immortal soul." Lord Edward was not to be baited....[Illidge] was interrupted and Lord Edward saved from further persecution by the ringing of the telephone bell.
    "I'll deal with it," said Illidge, jumping up from his place.
    He put the receiver to his ear. "Hullo!"
    "Edward, is that you?" said a deep voice not unlike Lord Edward's own. "This is me. Edward, I've just this moment discovered a most extraordinary mathematical proof of the existence of God, or rather of...."
    "But this isn't Lord Edward," shouted Illidge. "Wait. I'll ask him to come." He turned back to the Old Man. "It's Lord Gattenden," he said. "He's just discovered a new proof of the existence of God." He did not smile, his tone was grave. Gravity in the circumstances was the wildest derision. The statement made fun of itself. Laughing comment made it less, not more ridiculous. Marvellous old imbecile! Illidge felt himself revenged for all the evening's humiliations. "A mathematical proof," he added, more seriously than ever.
    "Oh, dear!" exclaimed Lord Edward, as though something deplorable had happened. Telephoning always made him nervous. He hurried to the instrument. "Charles, is that...."
    "Ah, Edward," cried the disembodied voice of the head of the family from forty miles away at Gattenden. "Such a really remarkable discovery. I wanted your opinion of it. About God. You know the formula: m over nought equals infinity, m being any positive number? Well, why not reduce the equation to a simpler form by multiplying both sides by nought? In which case you have m equals infinity times nought. That is to say that a positive number is the product of zero and infinity. Doesn't that demonstrate the creation of the universe by an infinite power out of nothing? Doesn't it?" The diaphragm of the telephone receiver was infected by Lord Gattenden's excitement forty miles away. It talked with breathless speed; its questions were earnest and insistent. "Doesn't it, Edward"? All his life the fifth marquess had been looking for the absolute. It was the only sort of hunting possible for a cripple. For fifty years he had trundled in his wheeled chair at the heels of the elusive quarry. Could it be that he had now caught it, so easily, and in such an unlikely place as an elementary schoolbook on the theory of limits? It was something that justified excitement. "What's your opinion, Edward?"
    "Well," began Lord Edward, and at the other end of the electrified wire, forty miles away, his brother knew, from the tone in which that single word was spoken, that it was no good. The Absolute's tail was still unsalted. [pp. 134-135]
Lord Gattenden's "proof" does have a certain charm about it, don't you think? I still think it's a nice maneuver, poetic, whimsical. Even Bertrand Russell was initially, if only briefly, convinced by the ontological proof, whose real power, of course, is to console those who already believe.
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  1. The God Delusion, 2008 edition, p. 108

2 comments:

  1. I wonder if Huxley had been reading Alfred Jarry's "Exploits and Opinions of Dr. Faustroll, pataphysician" (posthumously published 1911), which closes with a similar "proof," rooted, oddly enough, in the ancient metaphor of the "infinite sphere whose center is everywhere and whose circumference is nowhere."

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  2. Wikipedia, I see, says of pataphysics (of which I admit I'd never heard): "Pataphysics (French: pataphysique) is a pseudophilosophy dedicated to studying what lies beyond the realm of metaphysics. It is a parody of the theory and methods of modern science and is often expressed in nonsensical language. The term was coined and the concept created by French writer Alfred Jarry (1873–1907), who defined pataphysics as 'the science of imaginary solutions, which symbolically attributes the properties of objects, described by their virtuality, to their lineaments.' Jarry considered Hippocrates of Chios and Sophrotatos the Armenian as the fathers of this 'science.' A practitioner of pataphysics is a pataphysician or a pataphysicist."

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