Combining Philosophers

All the ideas for Archimedes, Paolo Mancosu and Jan-Erik Jones

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3 ideas

2. Reason / D. Definition / 4. Real Definition

16030

'Nominal' definitions identify things, but fail to give their essence [Jones,J-E]

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]