“Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest scientific achievements.”

Source: How to Solve It (1945), p. 37

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George Pólya 35
Hungarian mathematician 1887–1985

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“All follow one analogy or another; and all the analogies are with some one or other of the universe's subdivisions. Every one is nevertheless prone to claim that his conclusions are the only logical ones, that they are necessities of universal reason, they being all the while, at bottom, accidents more or less of personal vision which had far better be avowed as such; for one man's vision may be much more valuable than another's, and our visions are usually not only our most interesting but our most respectable contributions to the world in which we play our part.”

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Another will conceive the order as only a statistical appearance, and the universe will be for him like a vast grab-bag with black and white balls in it, of which we guess the quantities only probably, by the frequency with which we experience their egress.
For another, again, there is no really inherent order, but it is we who project order into the world by selecting objects and tracing relations so as to gratify our intellectual interests. We carve out order by leaving the disorderly parts out; and the world is conceived thus after the analogy of a forest or a block of marble from which parks or statues may be produced by eliminating irrelevant trees or chips of stone.
Some thinkers follow suggestions from human life, and treat the universe as if it were essentially a place in which ideals are realized. Others are more struck by its lower features, and for them, brute necessities express its character better.
All follow one analogy or another; and all the analogies are with some one or other of the universe's subdivisions. Every one is nevertheless prone to claim that his conclusions are the only logical ones, that they are necessities of universal reason, they being all the while, at bottom, accidents more or less of personal vision which had far better be avowed as such; for one man's vision may be much more valuable than another's, and our visions are usually not only our most interesting but our most respectable contributions to the world in which we play our part. What was reason given to men for, said some eighteenth century writer, except to enable them to find reasons for what they want to think and do?—and I think the history of philosophy largely bears him out, "The aim of knowledge," says Hegel, "is to divest the objective world of its strangeness, and to make us more at home in it." Different men find their minds more at home in very different fragments of the world.

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