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— Carl Friedrich Gauss"The higher arithmetic presents us with an inexhaustible store of interesting truths - of truths, too, which are not isolated, but stand in a close internal connection, and between which, as our knowledge increases, we are continually discovering new and sometimes wholly unexpected ties."
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There's a true schizophrenia where if you say to voters, you know, do you think the federal government spends too much money and they should spend less, they say yeah, absolutely. Then you name specific things, like Pell grants for students and they say, no, not that. How 'bout NIH, medical research funding? Nah, you really shouldn't cut that. And pretty soon you've proved that what the American public is against is arithmetic.
— Bill Gates
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Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus.
— Abraham Robinson
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