Combining Texts

All the ideas for 'On 'Generation and Corruption'', 'Some Models for Implicature' and 'Principles of Arithmetic, by a new method'

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10 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
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
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
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Changes in secondary qualities are caused by changes in primary qualities [Giles of Orleans]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor]
Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor]
Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor]