Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Essays on Intellectual Powers 1: Preliminary' and 'Realism in Mathematics'

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9 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]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
Many truths seem obvious, and point to universal agreement - which is what we find [Reid]
18. Thought / C. Content / 2. Ideas
Only philosophers treat ideas as objects [Reid]
19. Language / A. Nature of Meaning / 9. Ambiguity
The ambiguity of words impedes the advancement of knowledge [Reid]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
26. Natural Theory / C. Causation / 1. Causation
Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid]