Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'On the Conservation of Force' and 'On Freedom'

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7 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

10. Modality / B. Possibility / 5. Contingency

5040	Necessary truths can be analysed into original truths; contingent truths are infinitely analysable [Leibniz]

10. Modality / D. Knowledge of Modality / 2. A Priori Contingent

13159

Only God sees contingent truths a priori [Leibniz]

10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects

5039	If non-existents are possible, their existence would replace what now exists, which cannot therefore be necessary [Leibniz]

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]

28. God / A. Divine Nature / 3. Divine Perfections

5041	God does everything in a perfect way, and never acts contrary to reason [Leibniz]