Combining Texts

All the ideas for 'A Problem about Substitutional Quantification?st1=Saul A. Kripke', 'Realism in Mathematics' and 'The Making of a Philosopher'

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7 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 / G. Quantification / 4. Substitutional Quantification
The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]
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]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
If all mental life were conscious, we would be unable to see things, or to process speech [McGinn]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
If meaning is speaker's intentions, it can be reduced to propositional attitudes, and philosophy of mind [McGinn]