Combining Texts

All the ideas for 'Realism in Mathematics', 'Letter to Bramhall' and 'Tractatus de corpore Christi'

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8 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Why use more things when fewer will do? [William of Ockham]
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]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
A chair is wood, and its shape is the form; it isn't 'compounded' of the matter and form [Hobbes]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essence is just an artificial word from logic, giving a way of thinking about substances [Hobbes]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
Every extended material substance is composed of parts distant from one another [William of Ockham]