Combining Philosophers

All the ideas for David Fair, Henri Poincar and Sara L. Uckelman

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9 ideas

4. Formal Logic / E. Nonclassical Logics / 11. Dynamic Logics
Dyamic logics model changes between classical states, in action, belief, and computing [Uckelman]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematicians do not study objects, but relations between objects [Poincaré]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Convention, yes! Arbitrary, no! [Poincaré, by Putnam]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Avoid non-predicative classifications and definitions [Poincaré]
26. Natural Theory / C. Causation / 4. Naturalised causation
Science has shown that causal relations are just transfers of energy or momentum [Fair, by Sosa/Tooley]
Fair shifted his view to talk of counterfactuals about energy flow [Fair, by Schaffer,J]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]