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Ideas of Henri Poincaré, by Text
[French, 1854 - 1912, Professor of Mathematics at the Sorbonne.]
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1894
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On the Nature of Mathematical Reasoning
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p.107
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15923
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Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Lavine]
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p.430
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9916
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Convention, yes! Arbitrary, no! [Putnam]
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1902
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Science and Hypothesis
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p.20
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p.363
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10180
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Mathematicians do not study objects, but relations between objects
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1906
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The Value of Science
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Pt III
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p.52
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15877
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The aim of science is just to create a comprehensive, elegant language to describe brute facts [Harré]
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p.65
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p.154
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10245
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One geometry cannot be more true than another
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1909
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The Logic of Infinity
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p.63
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p.126
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18203
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Avoid non-predicative classifications and definitions
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