Combining Texts

Ideas for 'Metaphysics: the logical approach', 'Rationality and Virtue' and 'A Structural Account of Mathematics'

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

display all the ideas for this combination of texts

---

5 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

3332	Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

3330	Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]

3337	Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

9553	Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

10192

We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]