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Deduction has turned out to be much less powerful than was formerly supposed; it does not give new knowledge, except as to new forms of words for stating truths in some sense already known. [On the other hand] the methods of inference that may be called in a broad sense “inductive” have never been satisfactorily formulated; when formulated, even if completely true, they only give probability to their conclusions; moreover, in any possibly accurate form, they lack self-evidence, and are only to be believed, if at all, because they seem indispensable in reaching conclusions that we all accept.

Bertrand Russell (from Human Knowledge: Its Scope and Limits, 1948)

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