"The concrete part of every mathematical question is... founded on the consideration of the external world, and could never be resolved by a simple series of intellectual combinations. The abstract part... when... completely separated, can consist only of a series of logical deductions, more or less prolonged; for if we have once found the equations of a phenomenon, the determination of the quantities, by means of one another, is a matter for reasoning only, whatever the difficulties may be."

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Added on April 10, 2026
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Original Language: English

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https://en.wikiquote.org/wiki/The_Philosophy_of_Mathematics_(Comte)