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Single Idea 9419

[filed under theme 26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory ]

Full Idea

A contingent generalization is a law of nature if and only if it appears as a theorem (or axiom) in each of the true deductive systems that achieves a best combination of simplicity and strength.

Gist of Idea

A law of nature is a general axiom of the deductive system that is best for simplicity and strength

Source

David Lewis (Counterfactuals [1973], 3.3)

Book Ref

Lewis,David: 'Counterfactuals' [Blackwell 2001], p.73


The 17 ideas with the same theme [laws are the simplest axioms that describe patterns]:

What are the fewest propositions from which all natural uniformities could be inferred? [Mill]
All knowledge needs systematizing, and the axioms would be the laws of nature [Ramsey]
Causal laws result from the simplest axioms of a complete deductive system [Ramsey]
A law of nature is a general axiom of the deductive system that is best for simplicity and strength [Lewis]
Laws are the best axiomatization of the total history of world events or facts [Lewis, by Mumford]
If simplicity and strength are criteria for laws of nature, that introduces a subjective element [Mumford on Lewis]
A number of systematizations might tie as the best and most coherent system [Mumford on Lewis]
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]
A law of nature is any regularity that earns inclusion in the ideal system [Lewis]
Good organisation may not be true, and the truth may not organise very much [Cartwright,N]
If the best system describes a nomological system, the laws are in nature, not in the description [Mumford]
The best systems theory says regularities derive from laws, rather than constituting them [Mumford]
Laws are sets of regularities within a simple and strong coherent system of wider regularities [Psillos]
The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen]
If laws are just regularities, then there have to be laws [Maudlin]
A regularity is only a law if it is part of a complete system which is simple and strong [Bird]
With strange enough predicates, anything could be made out to be a regularity [Bird]