Combining Philosophers

Ideas for William S. Jevons, James Joule and Isaac Newton

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6 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

18079

Newton developed a kinematic approach to geometry [Newton, by Kitcher]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13152

We can talk of 'innumerable number', about the infinite points on a line [Newton]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

13151

Not all infinites are equal [Newton]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18082

Quantities and ratios which continually converge will eventually become equal [Newton]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

8628	I hold that algebra and number are developments of logic [Jevons]