Isaac Newton Quotes About Mathematics
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I feign no hypotheses.
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Our present work sets forth mathematical principles of philosophy. For the basic problem of philosophy seems to be to discover the forces of nature from the phenomena of motions and then to demonstrate the other phenomena from these forces. It is to these ends that the general propositions in books 1 and 2 are directed, while in book 3 our explanation of the system of the world illustrates these propositions.
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The latest authors, like the most ancient, strove to subordinate the phenomena of nature to the laws of mathematics.
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As in Mathematicks, so in Natural Philosophy, the Investigation of difficult Things by the Method of Analysis, ought ever to precede the Method of Composition. This Analysis consists in making Experiments and Observations, and in drawing general Conclusions from them by Induction, and admitting of no Objections against the Conclusions, but such as are taken from Experiments, or other certain Truths. For Hypotheses are not to be regarded in experimental Philosophy.
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No old Men (excepting Dr. Wallis) love Mathematicks.
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...from the same principles, I now demonstrate the frame of the System of the World.
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Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things.
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The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.
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