History and Philosophy of Physics


Is it Possible to Apply Godel's Incompleteness Theorem to Scientific Theories?

Authors: Victor Christianto

Godel's incompleteness theorem is normally applied to mathematics. But i just found an article by Michael Goodband who argues that GIT can also be applied to scientific theories, see http://www.mjgoodband.co.uk/papers/Godel-science-theory.pdf. My own idea can be expressed generally as follows: any theory boils down to an exposition of a statement/proposition. According to GIT, in any theory there is at least one statement which is unprovable, and therefore any theory can be considered as incomplete or has indeterminacy. One implication of this deduction is that any theory should be made falsifiable (Popper), and also perhaps we can use conditional Bayesian probability to describe acceptance of a theory.

Comments: 4 Pages. This article has not been submitted to any journal. Your comments are welcome.

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[v1] 2014-07-30 22:02:52

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