Combining Texts

Ideas for 'Science and Method', 'A Puzzle Concerning Matter and Form' and 'Logic for Philosophy'

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2 ideas

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

10245

One geometry cannot be more true than another [Poincaré]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

13701

A single second-order sentence validates all of arithmetic - but this can't be proved axiomatically [Sider]