Combining Texts

All the ideas for 'Realism in Mathematics', 'Laudatio: Prof Ruth Barcan Marcus' and 'Free Will as Involving Determinism'

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8 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
If a property is possible, there is something which can have it [Williamson]
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]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Determinism threatens free will if actions can be causally traced to external factors [Foot]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
People can act out of vanity without being vain, or even vain about this kind of thing [Foot]