Combining Texts
Ideas for
'Science and Method', 'Word and Object' and 'Essay Conc Human Understanding (2nd Ed)'
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7 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
10245
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One geometry cannot be more true than another [Poincaré]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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Any progression will do nicely for numbers; they can all then be used to measure multiplicity [Quine]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
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The idea of 'one' is the simplest, most obvious and most widespread idea [Locke]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
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If there were real infinities, you could add two together, which is ridiculous [Locke]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
12556
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Mathematics is just about ideas, so whether circles exist is irrelevant [Locke]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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Every simple idea we ever have brings the idea of unity along with it [Locke]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9556
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Nearly all of mathematics has to quantify over abstract objects [Quine]
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