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Ideas for 'works', 'Principia Mathematica' and 'The Philosophy of Logic'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

18079

Newton developed a kinematic approach to geometry [Newton, by Kitcher]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

18200

Very large sets should be studied in an 'if-then' spirit [Putnam]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18082

Quantities and ratios which continually converge will eventually become equal [Newton]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18199

Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]

8857	We must quantify over numbers for science; but that commits us to their existence [Putnam]