Therefore Godel's theorem had an electrifying effect upon l… - Douglas Hofstadter

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Therefore Godel's theorem had an electrifying effect upon logicians, mathematicians, and philosophers interested in the foundations of mathematics, for it showed that no fixed system, no matter how complicated could represent the complexity of the whole numbers: 0,1,2,3,.....

Douglas Hofstadter

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About Douglas Hofstadter

Douglas Hofstadter (born February 15, 1945) is a mathematician, cognitive scientist, and Pulitzer Prize winning author.

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Native Name: Douglas Richard Hofstadter

Alternative Names: Douglas R. Hofstadter

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Originators like Douglas Hofstadter:

Marvin Minsky Ludwig Wittgenstein David Bohm Alfred North Whitehead Robert M. Pirsig

Additional quotes by Douglas Hofstadter

If categorization is central to thinking, then what mechanism carries it out? Analogy is the answer.

"There can be conceptual skeletons on several different levels of abstraction. For instance, the "isomorphism" between Bongard problems 70 and 71, already pointed out, involves higher-level conceptual skeleton than that needed to solve either problem in isolation."

This idea that there is generality in the specific is of far-reaching importance.

Therefore Godel's theorem had an electrifying effect upon logicians, mathematicians, and philosophers interested in the foundations of mathematics, f… - Douglas Hofstadter

About Douglas Hofstadter

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Additional quotes by Douglas Hofstadter