Combining Texts

Ideas for 'Parmenides', 'Russell's Mathematical Logic' and 'Defending the Axioms'

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

display all the ideas for this combination of texts

---

8 ideas

5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics

10035

Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

17620

Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

10042

Reference to a totality need not refer to a conjunction of all its elements [Gödel]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17605

Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]

17625

If two mathematical themes coincide, that suggest a single deep truth [Maddy]

5. Theory of Logic / K. Features of Logics / 8. Enumerability

10038

A logical system needs a syntactical survey of all possible expressions [Gödel]

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]