Combining Texts

All the ideas for 'Mathematics without Numbers', 'How free does the will need to be?' and 'Letters to Edward Stillingfleet'

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


7 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
9. Objects / D. Essence of Objects / 3. Individual Essences
Every individual thing which exists has an essence, which is its internal constitution [Locke]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Blame usually has no effect if the recipient thinks it unjustified [Williams,B]
Blame partly rests on the fiction that blamed agents always know their obligations [Williams,B]