Combining Texts

All the ideas for 'fragments/reports', 'works' and 'Grundlagen (Foundations of Theory of Manifolds)'

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5 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
10. Modality / A. Necessity / 8. Transcendental Necessity
Everything happens by reason and necessity [Leucippus]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / b. Heat
Heat is a state of vibration, not a substance [Joule]
Joule showed that energy converts to heat, and heat to energy [Joule, by Papineau]