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Single Idea 17536

[filed under theme 6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics ]

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?

Gist of Idea

If it can't be expressed mathematically, it can't occur in nature?

Source

Werner Heisenberg (Physics and Philosophy [1958], 02)

Book Ref

Heisenberg,Werner: 'Physics and Philosophy' [Penguin 1989], p.30

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.

The 17 ideas from 'Physics and Philosophy'

17536 If it can't be expressed mathematically, it can't occur in nature? [Heisenberg]
17534 A 'probability wave' is a quantitative version of Aristotle's potential, a mid-way type of reality [Heisenberg]
17533 Radiation interference needs waves, but radiation photoelectric effects needs particles [Heisenberg]
17532 An atom's stability after collisions needs explaining (which Newton's mechanics can't do) [Heisenberg]
17537 Position is complementary to velocity or momentum, so the whole system is indeterminate [Heisenberg]
17538 Quantum theory does not introduce minds into atomic events [Heisenberg]
17544 Basic particles have a mathematical form, which is more important than their substance [Heisenberg]
17543 So-called 'empty' space is the carrier of geometry and kinematics [Heisenberg]
17540 Energy is that which moves, and is the substance from which everything is made [Heisenberg]
17541 Energy is an unchanging substance, having many forms, and causing all change [Heisenberg]
17545 Quantum theory shows that exact science does not need dogmatic realism [Heisenberg]
17550 We give a mathematical account of a system of natural connections in order to clarify them [Heisenberg]
17548 Maxwell introduced real fields, which transferred forces from point to point [Heisenberg]
17549 Seven theories in science: mechanics, heat, electricity, quantum, particles, relativity, life [Heisenberg, by PG]
17552 In relativity the length of the 'present moment' is relative to distance from the observer [Heisenberg]
17551 It was formerly assumed that electromagnetic waves could not be a reality in themselves [Heisenberg]
17553 We can retain the idea of 'substance', as indestructible mass or energy [Heisenberg]