Combining Texts

All the ideas for 'Mathematics without Numbers', 'Non-foundationalist epistemology' and 'What is Knowledge-First Epistemology?'

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9 ideas

2. Reason / A. Nature of Reason / 6. Coherence
8616 How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? [Elgin]
8617 Statements that are consistent, cotenable and supportive are roughly true [Elgin]
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]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
19540 Don't confuse justified belief with justified believers [Dougherty/Rysiew]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
19539 If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
8618 Coherence is a justification if truth is its best explanation (not skill in creating fiction) [Elgin]
19. Language / C. Assigning Meanings / 2. Semantics
19538 Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew]