Combining Texts

All the ideas for 'Mathematics without Numbers', 'Reflections on Knowledge, Truth and Ideas' and 'Warrant and Proper Function'

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8 ideas

2. Reason / D. Definition / 1. Definitions
19426 'Nominal' definitions just list distinguishing characteristics [Leibniz]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
19424 Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
6356 Maybe a reliable justification must come from a process working with its 'proper function' [Plantinga, by Pollock/Cruz]
18. Thought / C. Content / 2. Ideas
19427 True ideas represent what is possible; false ideas represent contradictions [Leibniz]
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]