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Single Idea 17550

[filed under theme 14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations ]

Full Idea

When we represent a group of connections by a closed and coherent set of concepts, axioms, definitions and laws which in turn is represented by a mathematical scheme we have isolated and idealised them with the purpose of clarification.

Gist of Idea

We give a mathematical account of a system of natural connections in order to clarify them

Source

Werner Heisenberg (Physics and Philosophy [1958], 06)

Book Ref

Heisenberg,Werner: 'Physics and Philosophy' [Penguin 1989], p.95

A Reaction

Attacks on the regularity theory of laws, and the notion that explanation is by laws, tend to downplay this point - that obtaining clarity and precision is a sort of explanation, even if it fails to go deeper.

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]