Combining Texts

All the ideas for 'The Gettier Problem', 'Modal and Anti-Luck Epistemology' and 'Mathematics without Numbers'

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6 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]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
19729 'Modal epistemology' demands a connection between the belief and facts in possible worlds [Black,T]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
19699 A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]
19728 Gettier and lottery cases seem to involve luck, meaning bad connection of beliefs to facts [Black,T]