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Ideas for 'Letters to Bentley', 'The Question of Ontology' and 'Lewis on Perdurance versus Endurance'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13152

We can talk of 'innumerable number', about the infinite points on a line [Newton]

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

13151

Not all infinites are equal [Newton]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

12215

The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

12211

It is plausible that x^2 = -1 had no solutions before complex numbers were 'introduced' [Fine,K]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

12209

The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K]