Combining Texts
Ideas for
'Theory of Science (4 vols)', 'Letters' and 'Truth by Convention'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
9618
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Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
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8994
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If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
8997
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There are four different possible conventional accounts of geometry [Quine]
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6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
9830
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Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8993
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If mathematics follows from definitions, then it is conventional, and part of logic [Quine]
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