Combining Texts

All the ideas for 'Second Philosophy', 'Scientific Explanation and the Causal Structure of the World' and 'The Theory of Transfinite Numbers'

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5 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Henkin semantics is more plausible for plural logic than for second-order logic [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Causation produces productive mechanisms; to understand the world, understand these mechanisms [Salmon]
Salmon's interaction mechanisms needn't be regular, or involving any systems [Glennan on Salmon]