Combining Texts

Ideas for 'works', 'fragments/reports' and 'What Required for Foundation for Maths?'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

17784

Real numbers can be eliminated, by axiom systems for complete ordered fields [Mayberry]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / b. Quantity

17782

Greek quantities were concrete, and ratio and proportion were their science [Mayberry]

17781

Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17799

Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry]

17797

Cantor extended the finite (rather than 'taming the infinite') [Mayberry]