"In summary, then, the set theoretic 'needs' of physics are surprisingly similar to the set theoretic needs of pure logic. Both disciplines need some set theory to function at all. Both disciplines can 'live' - but live badly - on the meager diet of only predicative sets. Both can live extremely happily on the rich diet of impredicative sets. Insofar, then, as the indispensability of quantification over sets is any argument for their existence - and we will discuss why it is in the next section - we may say that it is a strong argument for the existence of at least predicative sets, and a pretty strong, but not as strong, argument for the existence of impredicative sets."
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Computer scientists from the United StatesWomen academics from the United StatesCognitive scientistsMathematicians from the United StatesPrinceton University faculty
Original Language: English
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"Philosophy of Logic" (1972)
https://en.wikiquote.org/wiki/Hilary_Putnam
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Hilary Putnam
Hilary Whitehall Putnam (July 31, 1926 - March 13, 2016) was an American philosopher who has been a central figure in analytic philosophy since the 1960s, especially in philosophy of mind, philosophy of language, and philosophy of science. He is known for his willingness to apply an equal degree of scrutiny to his own philosophical positions as to those of others, subjecting each position to rigorous analysis until he exposes its flaws. As a result, he has acquired a reputation for frequently ch
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