Combining Texts

All the ideas for 'fragments/reports', 'Principles of Arithmetic, by a new method' and 'Counterparts and Identity'

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11 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
18823 To say there could have been people who don't exist, but deny those possible things, rejects Barcan [Stalnaker, by Rumfitt]
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]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
16409 Unlike Lewis, I defend an actualist version of counterpart theory [Stalnaker]
16411 If possible worlds really differ, I can't be in more than one at a time [Stalnaker]
16412 If counterparts exist strictly in one world only, this seems to be extreme invariant essentialism [Stalnaker]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
16410 Extensional semantics has individuals and sets; modal semantics has intensions, functions of world to extension [Stalnaker]
23. Ethics / A. Egoism / 1. Ethical Egoism
3031 The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius]