Combining Texts

All the ideas for 'Mathematics without Numbers', 'Resemblance Nominalism and Russell's Regress' and 'Knowledge'

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5 ideas

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]

8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism

18435

Resemblance Nominalists say that resemblance explains properties (not the other way round) [Rodriquez-Pereyra]

13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge

19724

Belief is knowledge if it is true, certain, and obtained by a reliable process [Ramsey]