Combining Texts

Ideas for 'Parmenides', 'Logic in Mathematics' and 'On the General Idea of Proof Theory'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

16869

To create order in mathematics we need a full system, guided by patterns of inference [Frege]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

16864

If principles are provable, they are theorems; if not, they are axioms [Frege]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

16150

One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]