No thought can be formed that isn’t informed by the past; or, more precisely, we think only thanks to analogies that link our present to our past. - Douglas Hofstadter
" "No thought can be formed that isn’t informed by the past; or, more precisely, we think only thanks to analogies that link our present to our past.
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About Douglas Hofstadter
Douglas Hofstadter (born February 15, 1945) is a mathematician, cognitive scientist, and Pulitzer Prize winning author.
Biography information from Wikiquote
Also Known As
Native Name:
Douglas Richard Hofstadter
Alternative Names:
Douglas R. Hofstadter
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Additional quotes by Douglas Hofstadter
"In the thirty-first year, however, Godel published his paper, which in some ways utterly demolished Hilbert's program. This paper revealed not only that there were irreparable "holes" in the axiomatic system proposed by Russell and Whitehead, but more generally, that no axiomatic system whatsoever could produce all number-theoretical truths, unless it were an inconsistent system! And finally, the hope of proving the consistency of a system such as that presented in P.M. was shown to be vain: if such a proof could be found using only methods inside P.M., then — and this is one of the most mystifying consequences of Godel's work — P.M. itself would be inconsistent!"
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