Combining Texts
Ideas for
'Natural Kinds', 'Identity over Time' and 'Continuity and Irrational Numbers'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
16949
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Klein summarised geometry as grouped together by transformations [Quine]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611
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We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
10572
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A cut between rational numbers creates and defines an irrational number [Dedekind]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
17612
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Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087
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If x changes by less and less, it must approach a limit [Dedekind]
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