Combining Texts
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'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
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Real numbers are ratios of quantities [Frege, by Dummett]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
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Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
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