Combining Texts
Ideas for
'Truth and the Past', 'Letters to Bentley' and 'Causal Powers'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
13152
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We can talk of 'innumerable number', about the infinite points on a line [Newton]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15273
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Points can be 'dense' by unending division, but must meet a tougher criterion to be 'continuous' [Harré/Madden]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
15274
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Points are 'continuous' if any 'cut' point participates in both halves of the cut [Harré/Madden]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
13151
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Not all infinites are equal [Newton]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
8190
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Intuitionists rely on the proof of mathematical statements, not their truth [Dummett]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism
15211
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There is not an exclusive dichotomy between the formal and the logical [Harré/Madden]
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