Combining Philosophers

All the ideas for Archimedes, Tim Black and Paul J. Cohen

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
We could accept the integers as primitive, then use sets to construct the rest [Cohen]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
'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
Gettier and lottery cases seem to involve luck, meaning bad connection of beliefs to facts [Black,T]