Combining Texts

All the ideas for 'works', 'On Assertion and Indicative Conditionals' and 'Realism in Mathematics'

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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 / D. Assumptions for Logic / 3. Contradiction
Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]
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]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
'If A,B' affirms that A⊃B, and also that this wouldn't change if A were certain [Jackson, by Edgington]
Conditionals are truth-functional, but should only be asserted when they are confident [Jackson, by Edgington]