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We unfold out of the Idea of Space the propositions of geometry, which are plainly truths of the most rigorous necessity and universality. But if the idea of space were merely collected from observation of the external world, it could never enable or entitle us to assert such propositions: it could never authorize us to say that not merely some lines, but all lines, not only have, but must have, those properties which geometry teaches. Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but half comprehends the meaning.
William Whewell
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By speaking of space as an Idea, I intend to imply... that the apprehension of objects as existing in space, and of the relations of position, &c., prevailing among them, is not a consequence of experience, but a result of a peculiar constitution and activity of the mind, which is independent of all experience in its origin, though constantly combined with experience in its exercise.
William Whewell
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The Ideas on which the Pure Sciences depend, are those of Space and Number; but Number is a modification of the conception of Repetition, which belongs to the Idea of Time.
William Whewell
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Space is not an object of which we perceive the properties, but a form of our perception; not a thing which affects our senses, but an idea to which we conform the impressions of sense.
William Whewell
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All external objects and events which we can contemplate are viewed as having relations of Space, Time, and Number; and are subject to the general conditions which these Ideas impose, as well as to the particular laws which belong to each class of objects and occurrences.
William Whewell
Quote of the day
Good authors, too, who once knew better words Now only use four-letter words Writing prose — Anything goes.
Cole Porter
William Whewell
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Born:
May 24, 1794
Died:
March 6, 1866
(aged 71)
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