Combining Texts

All the ideas for 'fragments/reports', 'The Development of Logic' and 'Reference and Generality (3rd ed)'

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

---

8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

10051

The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

12154

Are 'word token' and 'word type' different sorts of countable objects, or two ways of counting? [Geach, by Perry]

9. Objects / A. Existence of Objects / 6. Nihilism about Objects

8969	We should abandon absolute identity, confining it to within some category [Geach, by Hawthorne]

9. Objects / E. Objects over Time / 8. Continuity of Rivers

579	Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]

9. Objects / F. Identity among Objects / 3. Relative Identity

16075

Denial of absolute identity has drastic implications for logic, semantics and set theory [Wasserman on Geach]

12152

Identity is relative. One must not say things are 'the same', but 'the same A as' [Geach]

9. Objects / F. Identity among Objects / 8. Leibniz's Law

16073

Leibniz's Law is incomplete, since it includes a non-relativized identity predicate [Geach, by Wasserman]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

578	Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]