Combining Texts

All the ideas for 'fragments/reports', 'Realism in Mathematics' and 'Reflections on Knowledge, Truth and Ideas'

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9 ideas

2. Reason / D. Definition / 1. Definitions
19426 'Nominal' definitions just list distinguishing characteristics [Leibniz]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
8755 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
10718 A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756 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
17733 We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
19424 Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz]
18. Thought / C. Content / 2. Ideas
19427 True ideas represent what is possible; false ideas represent contradictions [Leibniz]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / C. Causation / 2. Types of cause
19425 In the schools the Four Causes are just lumped together in a very obscure way [Leibniz]