Combining Texts

All the ideas for 'Mathematics without Numbers', 'Causation' and 'Cogitata et Visa'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricists are collecting ants; rationalists are spinning spiders; and bees do both [Bacon]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Not all explanations are causal, but if a thing can be explained at all, it can be explained causally [Sanford]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
A totality of conditions necessary for an occurrence is usually held to be jointly sufficient for it [Sanford]