Combining Texts

Ideas for 'Parmenides', 'Essence, Necessity and Explanation' and 'Understanding the Infinite'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

4 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

15926

Second-order logic presupposes a set of relations already fixed by the first-order domain [Lavine]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15934

Mathematical proof by contradiction needs the law of excluded middle [Lavine]

5. Theory of Logic / L. Paradox / 3. Antinomies

13986

Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]

14150

Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]