Combining Philosophers

All the ideas for Archimedes, Richard Posner and Karl Weierstrass

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4 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
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]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is competition for support of the people, guided by self-interest on all sides [Posner]