Combining Texts

All the ideas for 'Realism in Mathematics', 'Logic [1897]' and 'Tractatus de corpore Christi'

expand these ideas     |    start again     |     specify just one area for these texts


7 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]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
Psychological logic can't distinguish justification from causes of a belief [Frege]
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]