Combining Texts

All the ideas for 'Introduction to 'Virtues of Authenticity'', 'Intellectual Norms and Foundations of Mind' and 'Realism in Mathematics'

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


8 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]
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 / 6. Platonic Forms / a. Platonic Forms
Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas]
11. Knowledge Aims / A. Knowledge / 2. Understanding
'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry]