Combining Texts

All the ideas for 'Truth (frags)', 'Epistemology Externalized' and 'Principles of Arithmetic, by a new method'

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
18. Thought / C. Content / 6. Broad Content
8872 It is widely supposed that externalism cannot be reconciled with first-person authority [Davidson]
8874 It is hard to interpret a speaker's actions if we take a broad view of the content [Davidson]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
8873 The cause of a usage determines meaning, but why is the microstructure of water relevant? [Davidson]