Combining Texts

All the ideas for 'fragments/reports', 'Review of Tait 'Provenance of Pure Reason'' and 'Philosophical Implications of Mathematical logic'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logic is highly general truths abstracted from reality [Russell, by Glock]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
It is good to generalise truths as much as possible [Russell]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]