Saharon Shelah famous quotes
Last updated: Sep 5, 2024
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There is an old maxim that says that two empires that are too large will collapse. The analog in set theory is that two different theories that are too powerful must necessarily contradict each other.
-- Saharon Shelah -
Given a conjecture, the best thing is to prove it. The second best thing is to disprove it. The third best thing is to prove that it is not possible to disprove it, since it will tell you not to waste your time trying to disprove it. That's what Gödel did for the Continuum Hypothesis.
-- Saharon Shelah -
Cardinal Arithmetics is much older than Number Theory. People used to exchange things way before there were numbers. Expressing numbers like 762 is already a sign of a very advanced civilization.
-- Saharon Shelah -
Number theorists say that number theory is too complicated, so let's pretend that there is only one prime number, and then let's combine all these results. Surprisingly, sometimes it works.
-- Saharon Shelah
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A community is democratic only when the humblest and weakest person can enjoy the highest civil, economic, and social rights that the biggest and most powerful possess.
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You may be sitting in a room reading this book. Imagine one note struck upon the piano. Immediately that one note is enough to change the atmosphere of the room - proving that the sound element in music is a powerful and mysterious agent, which it would be foolish to deride or belittle.
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In keeping people straight, principle is not as powerful as a policeman.
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All we have is our vote. But it's powerful.
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We must not overlook the role that extremists play. They are the gadflies that keep society from being too complacent or self-satisfied; they are, if sound, the spearhead of progress. If they are fundamentally wrong, free discussion will in time put an end to them.
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[George] Uhlenbeck was a highly gifted physicist. One of his remarkable traits was he would read every issue of T%he Physical Review from cover to cover.
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Science is the great antidote to the poison of enthusiasm and superstition.
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In the middle of nowhere, along a quiet stretch of road, the diner dreamt of the hungry dead. And of two men.
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If a literary man puts together two words about music, one of them will be wrong.
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What's so great about television. You're able to tell a long story, where you couldn't really do that in a film because you have to tell a story in an hour and a half or two hours.
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