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“ ”We should have great respect for what seem like the most mundane of analogies, for when they are examined, they often can be seen to have sprung from, and to reveal, the deepest roots of human cognition.
Douglas Hofstadter (born February 15, 1945) is a mathematician, cognitive scientist, and Pulitzer Prize winning author.
Biography information from Wikiquote
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The theorem can be likened to a pearl, and the method of proof to an oyster. The pearl is prized for its luster and simplicity; the oyster is a complex living beast whose innards give rise to this mysteriously simple gem.
If categorization is central to thinking, then what mechanism carries it out? Analogy is the answer.
The perception of an isomorphism between two known structures is a significant advance in knowledge-and I claim that it is such perceptions of isomorphism which create meanings in the minds of people.