Combining Texts

All the ideas for 'Confessions of a Philosopher', 'Infinitism not solution to regress problem' and 'Mathematics without Numbers'

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6 ideas

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]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Must all justification be inferential? [Ginet]
Inference cannot originate justification, it can only transfer it from premises to conclusion [Ginet]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Why don't we experience or remember going to sleep at night? [Magee]