Combining Texts

All the ideas for 'works', 'Remarks on axiomatised set theory' and 'The Doctrine of Necessity Examined'

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
7334 Anti-realism needs an intuitionist logic with no law of excluded middle [Dummett, by Miller,A]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 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
17880 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
17881 Mathematician want performable operations, not propositions about objects [Skolem]
7. Existence / D. Theories of Reality / 4. Anti-realism
3303 For anti-realists there are no natural distinctions between objects [Dummett, by Benardete,JA]
10. Modality / B. Possibility / 7. Chance
14804 Is chance just unknown laws? But the laws operate the same, whatever chance occurs [Peirce]
22. Metaethics / B. Value / 2. Values / e. Death
14805 Is there any such thing as death among the lower organisms? [Peirce]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
14806 If the world is just mechanical, its whole specification has no more explanation than mere chance [Peirce]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
14803 The more precise the observations, the less reliable appear to be the laws of nature [Peirce]