The metre of the poet, the metronome of the musician, the centimetre of the mathematician, are all derived from the same root, metron: measure, measurement.
The superimposition of two systems: thought and metre,′ wrote Proust, ’is a primary element of ordered complexity, that is to say, of beauty.
In other words, evolution is neither a free-for-all, nor the execution of a rigidly predetermined computer programme. It could be compared to a musical composition whose possibilities are limited by the rules of harmony and the structure of the diatonic scales-which, however, permit an inexhaustible number of original creations. Or it could be compared to the game of chess obeying fixed rules but with equally inexhaustible variations.
The memoir did in fact get him a professorship at the Lycee in Lyon. It was called Considerations of the Mathematical Theory of Games of Chance, and demonstrated, among other things, the habitual gamblers are, in the long run, bound to lose.
From the Pythagoreans onward, through the Renaissance to our times, the oceanic feeling, the sense of participation in the mystery of the infinite, was the principle inspiration of that winged and flat-footed creature, the scientist.
By feeding back information on the lie of the land to the gene-complex, the cytoplasm thus co-determines which genes should be active and which should be temporarily or permanently switched off.
In those days the European continent had already reached a stage where a man could be told without irony that he should be thankful to be shot and not strangled, decapitated, or beaten to death.
The history of cosmic theories, in particular, may without exaggeration be called a history of collective obsessions and controlled schizophrenias; and the manner in which some of the most important individual discoveries were arrived at reminds one more of a sleepwalker’s performance than an electronic’s brain.
The curse of ‘spherism’ upon man’s vision of the universe lasted for two thousand years.
Since we cannot in the foreseeable future expect the necessary change in human nature to arise by way of a spontaneous mutation, that is, by natural means, we must induce it by artificial means. We can only hope to survive as a species by developing techniques which supplant biological evolution. We must search for a cure for the schizophysiology inherent in man’s nature, and the resulting split in our minds, which led to the situation in which we find ourselves.
The crimes of a caligula shrink to insignificance compared to the havoc wrought by Torquemada.
At the level of ego-psychology’, wrote Mowrer in his survey on ‘Motivation’ in the Annual Review for 1952, ’there may be said to be only one master motive: anxiety.
Let me repeat: the principle mark of genius is not perfection, but originality, the opening of new frontiers; once this is done, the conquered territory becomes common property.
It is obvious’, says Hadamard, ‘that invention or discovery, be it in mathematics or anywhere else, takes place by combining ideas... The Latin verb cogito for “to think” etymologically means “to shake together”. St. Augustine had already noticed that and also observed that intelligo means “to select among”.
Truth is what is useful to humanity, falsehood what is harmful.
The feeling of fraternal warmth towards fellow beings handicapped by their social background became transformed into a self-degrading worship of the primitive, the uncouth, the humorless; of the blockheaded “class-conscious” proletarian – the cult of the lowest common denominator.
When he reads Kierkegaard, he is not moved by what he reads, he is moved by himself reading Kierkegaard–but he is blissfully unaware of it.
He is damned always to do that which is most repugnant to him: to become a slaughterer, in order to abolish slaughtering, to sacrifice lambs so that no more lambs may be slaughtered, to whip people with knouts so that they may learn not to let themselves be whipped, to strip himself of every scruple in the name of a higher scrupulousness, and to challenge the hatred of mankind because of his love for it – an abstract and geometric love.
It is necessary to hammer every sentence into the masses by repetition and simplification. What is presented as right must shine like gold; what is presented as wrong must be black as pitch. For consumption by the masses, the political processes must be coloured like ginger-bread figures at a fair.
We resembled the great Inquisitors in that we persecuted the seeds of evil not only in men’s deeds, but in their thoughts. We admitted no private sphere, not even inside a man’s skull. We lived under the compulsion of working things out to their final conclusions.
The moment of truth, the sudden emergence of a new insight, is an act of intuition. Such intuitions give the appearance of miraculous flashes, or short-circuits of reasoning. In fact they may be likened to an immersed chain, of which only the beginning and the end are visible above the surface of consciousness. The dive vanishes at one end of the chain and comes up at the other end, guided by invisible links.