Ideas from 'Realism in Mathematics' by Penelope Maddy [1990], by Theme Structure
green numbers give full details |
back to texts
|
expand these ideas
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
8755
|
Maddy replaces pure sets with just objects and perceived sets of objects [Shapiro]
|
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10718
|
A natural number is a property of sets [Oliver]
|
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756
|
Intuition doesn't support much mathematics, and we should question its reliability [Shapiro]
|
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17733
|
We know mind-independent mathematical truths through sets, which rest on experience [Jenkins]
|