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"[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention."

— James Joseph Sylvester
james joseph sylvester Quotes Trials,Comparison,Highest

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James Joseph Sylvester
Trials
Comparison
Highest
Scope
Recourse
Principal
Faculty
Observation
Boundless
Verification

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Love is like some fresh spring, first a stream and then a river, changing its aspect and its nature as it flows to plunge itself in some boundless ocean, where restricted natures only find monotony, but where great souls are engulfed in endless contemplation.

— Honore de Balzac

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We know a great deal, but our ignorance is sobering and boundless. With each step forward, with each problem which we solve, we not only discover new and unsolved problems, but we also discover that where we believed that we were standing on firm and safe ground, all things are, in truth, insecure and in a state of flux.

— Karl Popper

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