Combining Texts

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

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6 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
The two basics of reasoning are contradiction and sufficient reason [Leibniz]
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]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Assume that mind and body follow their own laws, but God has harmonised them [Leibniz]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
God doesn't decide that Adam will sin, but that sinful Adam's existence is to be preferred [Leibniz]