Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, Werner Heisenberg and Zeno (Citium)

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2 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Zeno achieved the statement of the problems of infinitesimals, infinity and continuity [Russell on Zeno of Citium]
     Full Idea: Zeno was concerned with three increasingly abstract problems of motion: the infinitesimal, the infinite, and continuity; to state the problems is perhaps the hardest part of the philosophical task, and this was done by Zeno.
     From: comment on Zeno (Citium) (fragments/reports [c.294 BCE]) by Bertrand Russell - Mathematics and the Metaphysicians p.81
     A reaction: A very nice tribute, and a beautiful clarification of what Zeno was concerned with.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
If it can't be expressed mathematically, it can't occur in nature? [Heisenberg]
     Full Idea: The solution was to turn around the question How can one in the known mathematical scheme express a given experimental situation? and ask Is it true that only such situations can arise in nature as can be expressed in the mathematical formalism?
     From: Werner Heisenberg (Physics and Philosophy [1958], 02)
     A reaction: This has the authority of the great Heisenberg, and is the ultimate expression of 'mathematical physics', beyond anything Galileo or Newton ever conceived. I suppose Pythagoras would have thought that Heisenberg was obviously right.