Combining Texts

All the ideas for 'Laudatio: Prof Ruth Barcan Marcus', 'Principles of Arithmetic, by a new method' and 'How to Russell a Frege-Church'

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

10 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
15130 If a property is possible, there is something which can have it [Williamson]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
11989 For Russell, expressions dependent on contingent circumstances must be eliminated [Kaplan]
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 / d. Haecceitism
11990 'Haecceitism' says that sameness or difference of individuals is independent of appearances [Kaplan]
9668 'Haecceitism' is common thisness under dissimilarity, or distinct thisnesses under resemblance [Kaplan]
11991 If quantification into modal contexts is legitimate, that seems to imply some form of haecceitism [Kaplan]