Combining Philosophers

Ideas for Archimedes, Bob Hale and John Hawthorne

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

10632

The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]

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]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

19295

Add Hume's principle to logic, to get numbers; arithmetic truths rest on the nature of the numbers [Hale]