Combining Philosophers

All the ideas for William K. Clifford, Archimedes and Proclus

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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]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
It is always wrong to believe things on insufficient evidence [Clifford]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
18. Thought / E. Abstraction / 1. Abstract Thought
The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]