Combining Philosophers

All the ideas for Archimedes, J. Alberto Coffa and Lord Kelvin (Wm Thomson)

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

18270

Choice suggests that intensions are not needed to ensure classes [Coffa]

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]

12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic

18263

The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa]

12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori

18272

Platonism defines the a priori in a way that makes it unknowable [Coffa]

14. Science / B. Scientific Theories / 1. Scientific Theory

22363

You have only begun to do real science when you can express it in numbers [Kelvin]

15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind

18266

Mathematics generalises by using variables [Coffa]

27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy

20644

Energy has progressed from a mere formula, to a principle pervading all nature [Kelvin]

27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time

18279

Relativity is as absolutist about space-time as Newton was about space [Coffa]