Combining Texts

All the ideas for 'Actualism and Thisness', 'Letter to Pythocles' and 'Principles of Arithmetic, by a new method'

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9 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]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
16463 Adams says actual things have haecceities, but not things that only might exist [Adams,RM, by Stalnaker]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
21386 We should accept as explanations all the plausible ways in which something could come about [Epicurus]
27. Natural Reality / E. Cosmology / 1. Cosmology
14051 A cosmos is a collection of stars and an earth, with some sort of boundary, movement and shape [Epicurus]
28. God / C. Attitudes to God / 3. Deism
1828 God does not intervene in heavenly movements, but is beyond all action and perfectly happy [Epicurus]