Combining Texts

All the ideas for 'Dialektik', 'Principles of Arithmetic, by a new method' and 'The Making of a Philosopher'

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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]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
4691 If all mental life were conscious, we would be unable to see things, or to process speech [McGinn]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
4690 If meaning is speaker's intentions, it can be reduced to propositional attitudes, and philosophy of mind [McGinn]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
20959 Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]