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Ideas for
'Dialectic of Enlightenment', 'What Required for Foundation for Maths?' and 'works'
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7 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17784
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Real numbers can be eliminated, by axiom systems for complete ordered fields [Mayberry]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / b. Quantity
17782
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Greek quantities were concrete, and ratio and proportion were their science [Mayberry]
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17781
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Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
17799
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Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry]
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17797
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Cantor extended the finite (rather than 'taming the infinite') [Mayberry]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18086
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Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18092
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Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
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