Combining Texts

All the ideas for 'Realism in Mathematics', 'Schopenhauer' and 'Comment on Armstrong and Forrest'

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


7 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
We become objective when we detach ourselves from the world [Janaway]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
8. Modes of Existence / D. Universals / 1. Universals
The main rivals to universals are resemblance or natural-class nominalism, or sparse trope theory [Lewis]
9. Objects / C. Structure of Objects / 1. Structure of an Object
We could not uphold a truthmaker for 'Fa' without structures [Lewis]