Combining Philosophers
Ideas for John Mayberry, John Stuart Mill and Bernard Williams
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
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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 / a. Units
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9801
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Numbers must be assumed to have identical units, as horses are equalised in 'horse-power' [Mill]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / b. Quantity
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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
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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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