Combining Philosophers

All the ideas for Archimedes, Paolo Mancosu and Robert Geroch

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

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

13166

Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]

18. Thought / E. Abstraction / 3. Abstracta by Ignoring

9567	Maths deals with quantities of physical significance, ignoring irrelevant features [Geroch]