Combining Texts

All the ideas for ''Ostrich Nominalism' or 'Mirage Realism'?st1=Michael Devitt', 'Mathematics without Numbers' and 'Philosophy without Intuitions'

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8 ideas

2. Reason / E. Argument / 7. Thought Experiments
So-called 'though experiments' are just philosophers observing features of the world [Cappelen]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
8. Modes of Existence / D. Universals / 1. Universals
Realism doesn't explain 'a is F' any further by saying it is 'a has F-ness' [Devitt]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
The particular/universal distinction is unhelpful clutter; we should accept 'a is F' as basic [Devitt]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Quineans take predication about objects as basic, not reference to properties they may have [Devitt]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen]