Combining Texts

All the ideas for 'fragments/reports', 'Mathematical Thought from Ancient to Modern Times' and 'Grundlagen (Foundations of Theory of Manifolds)'

expand these ideas     |    start again     |     specify just one area for these texts

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4 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

23367

Even pointing a finger should only be done for a reason [Epictetus]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17606

Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]