Combining Philosophers

All the ideas for Archimedes, Proclus and Alex Betteridge

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4 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]

14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations

13165

Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]

15. Nature of Minds / C. Capacities of Minds / 2. Imagination

6901	Understanding is needed for imagination, just as much as the other way around [Betteridge]

18. Thought / E. Abstraction / 1. Abstract Thought

9569	The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]