Combining Texts

All the ideas for 'The Courtier and the Heretic', 'Principles of Arithmetic, by a new method' and 'Mind and World'

expand these ideas     |    start again     |     specify just one area for these texts

11 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
8251 The logical space of reasons is a natural phenomenon, and it is the realm of freedom [McDowell]
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]
12. Knowledge Sources / B. Perception / 3. Representation
8128 Representation must be propositional if it can give reasons and be epistemological [McDowell, by Burge]
12. Knowledge Sources / B. Perception / 5. Interpretation
19092 There is no pure Given, but it is cultured, rather than entirely relative [McDowell, by Macbeth]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
8253 Sense impressions already have conceptual content [McDowell]
19. Language / F. Communication / 4. Private Language
8254 Forming concepts by abstraction from the Given is private definition, which the Private Lang. Arg. attacks [McDowell]
24. Political Theory / D. Ideologies / 10. Theocracy
7825 The politics of Leibniz was the reunification of Christianity [Stewart,M]