Combining Philosophers

All the ideas for Archimedes, Hilary Kornblith and Paolo Mancosu

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3 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]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalist accounts of knowledge do not require the traditional sort of justification [Kornblith]