Word: ideals
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...said their two sons, John G. Palfrey '94 and Quentin A. Palfrey '96, originally encouraged them to throw their hats into the ring. But their discussions with other currently serving masters, Palfrey said, convinced them that this would be an ideal...
When published aeronautical data turned out to be unreliable, the Wright brothers built their own wind tunnel to test airfoils and measure empirically how to lift a flying machine into the sky. They were the first to discover that a long, narrow wing shape was the ideal architecture of flight. They figured out how to move the vehicle freely, not just across land, but up and down on a cushion of air. They built a forward elevator to control the pitch of their craft as it nosed up and down. They fashioned a pair of twin rudders in back...
...they fit together to produce all the effects in nature, logic held out the promise of accounting for all meaningful texts and utterances--from philosophy and geometrical proofs to history and legislation--by breaking them into their logical atoms and showing how those parts fit together (in an ideal language) to compose all the meanings there could...
When Wittgenstein returned to philosophy in 1929, it was with the message that the rigorous methods of pure logic could get no grip on the problems of philosophy: "We have got on to slippery ice where there is no friction and so in a certain sense the conditions are ideal, but also, just because of that, we are unable to walk. We want to walk: so we need friction. Back to the rough ground!" Where before he had favored explicit logical rules, now he spoke of language games, governed by tacit mutual understanding, and he proposed to replace the sharp...
...course of Turing's formal proof that the dream of turning all mathematics into logic was strictly impossible, he had invented a purely conceptual device--now known as a Universal Turing Machine--that provided the logical basis for the digital computer. And whereas Wittgenstein's dream of a universal ideal language for expressing all meanings had been shattered, Turing's device actually achieved a somewhat different sort of universality: it could compute all computable mathematical functions...