Combining Texts

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

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9 ideas

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]

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]

9. Objects / D. Essence of Objects / 3. Individual Essences

13230

Particular essence is often captured by generality [Steiner,M]

14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations

13229

Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M]

14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof

13231

Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M]

19. Language / F. Communication / 3. Denial

1554	Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]

28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique

1555	People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]

28. God / C. Attitudes to God / 5. Atheism

535	The gods are just personified human benefits [Prodicus]

1543	He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]