Combining Texts

All the ideas for 'Epistemology', 'There Are No Abstract Objects' and 'Set Theory and the Continuum Hypothesis'

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10 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
14248 We could accept the integers as primitive, then use sets to construct the rest [Cohen]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
14596 Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
14597 Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr]
10. Modality / A. Necessity / 11. Denial of Necessity
14598 Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
7301 The phenomenalist says that to be is to be perceivable [Cardinal/Hayward/Jones]
7302 Linguistic phenomenalism says we can eliminate talk of physical objects [Cardinal/Hayward/Jones]
7303 If we lack enough sense-data, are we to say that parts of reality are 'indeterminate'? [Cardinal/Hayward/Jones]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
7299 Primary qualities can be described mathematically, unlike secondary qualities [Cardinal/Hayward/Jones]
7300 An object cannot remain an object without its primary qualities [Cardinal/Hayward/Jones]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
7297 My justifications might be very coherent, but totally unconnected to the world [Cardinal/Hayward/Jones]