Combining Texts

All the ideas for 'Tractatus', 'Introduction to Zermelo's 1930 paper' and 'On the Conservation of Force'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

9. Objects / E. Objects over Time / 10. Beginning of an Object

16706

Generation is when local motions aggregate to become a single subject [Nicholas of Autrecourt]

27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy

20646

Helmholtz used 'energy' to mathematically link heat, light, electricity and magnetism [Helmholtz, by Watson]

27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy

20973

All forces conserve the sum of kinetic and potential energy [Helmholtz, by Papineau]