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Ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Physics and Philosophy' and 'Category Mistakes'

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2 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
17997 Some suggest that the Julius Caesar problem involves category mistakes [Magidor]
     Full Idea: Various authors have argued that identity statements arising in the context of the 'Julius Caesar' problem in philosophy of mathematics constitute category mistakes.
     From: Ofra Magidor (Category Mistakes [2013], 1.1 n1)
     A reaction: [She cites Benacerraf 1965 and Shapiro 1997:79]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
17536 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.