Combining Texts

All the ideas for 'Realism in Mathematics', 'Letters to Fichte' and 'Sense and Sensibilia'

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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]
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]
7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
Austin revealed many meanings for 'vague': rough, ambiguous, general, incomplete... [Austin,JL, by Williamson]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
Life and rationality are pointless if we can only contemplate the freedom of our own ego [Jacobi]
23. Ethics / F. Existentialism / 2. Nihilism
Jacobi was the first philosopher to talk of nihilism [Jacobi, by Critchley]