Combining Texts
Ideas for
'Truth and the Past', 'Continuity and Irrational Numbers' and 'Groundwork of the Metaphysic of Morals'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
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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
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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
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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
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If x changes by less and less, it must approach a limit [Dedekind]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
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Intuitionists rely on the proof of mathematical statements, not their truth [Dummett]
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