Combining Texts

All the ideas for 'Realism in Mathematics', 'On Signs (damaged)' and 'Of Civil Liberty'

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6 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]
14. Science / C. Induction / 3. Limits of Induction
From the fact that some men die, we cannot infer that they all do [Philodemus]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Modern monarchies are (like republics) rule by law, rather than by men [Hume]