Combining Philosophers

All the ideas for Hermarchus, Thoralf Skolem and Jim Baggott

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
25. Social Practice / F. Life Issues / 6. Animal Rights
Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
A 'field' is a property with a magnitude, distributed across all of space and time [Baggott]
Fields can be 'scalar', or 'vector', or 'tensor', or 'spinor' [Baggott]
27. Natural Reality / B. Modern Physics / 4. Standard Model / b. Standard model
The current standard model requires 61 particles [Baggott]