Combining Texts

All the ideas for 'Realism in Mathematics', 'Metaphysics' and 'On the Nature of Acquaintance'

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


6 ideas

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]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The only real proper names are 'this' and 'that'; the rest are really definite descriptions. [Russell, by Grayling]
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]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
A composite is a true unity if all of its parts fall under one essence [Scheibler]