# Undecidable

## Definitions of "Undecidable"

Incapable of being decided, settled, or solved.

Incapable of being algorithmically decided in finite time. For example, a set of strings is undecidable if it is impossible to program a computer (even one with infinite memory) to determine whether or not specified strings are included. adjective

(of a WFF) logically independent from the axioms of a given theory; i.e., that it can never be either proved or disproved (i.e., have its negation proved) on the basis of the axioms of the given theory. (Note: this latter definition is independent of any time bounds or computability issues, i.e., more Platonic.) adjective

## The word "Undecidable" in example sentences

Whether this difference is only perspectival or whether we deal with an interactive many-worlds "world" even at the global level may remain undecidable, too. Chaosmic Orders: Nonclassical Physics, Allegory, and the Epistemology of Blake's Minute Particulars.

We should remark that this problem is non-trivial since deciding whether a finite set of equations provides a basis for Boolean algebra is undecidable, that is, it does not permit an algorithmic representation; also, the problem was attacked by Robbins, Huntington, Tarski and many of his students with no success. Automated Reasoning

But the "undecidable" stuff needs a lot more care. Conservapedia - Recent changes [en]

But the "undecidable" stuff needs a lot more care. Conservapedia - Recent changes [en]

But the "undecidable" stuff needs a lot more care. Conservapedia - Recent changes [en]

However, undecidable statements which are free from self-reference have been found in various branches of mathematics. Archive 2009-06-01

Crucially, however, whilst the theory of a model, Th (M), may be undecidable, it is guaranteed to be complete, and it is the models of a theory which purport to represent physical reality. Archive 2009-06-01

Moreover, whilst Peano arithmetic is axiomatizable, there is a particular model of Peano arithmetic, whose theory is typically referred to as Number theory, which Godel demonstrated to be undecidable and non-axiomatizable. Archive 2009-06-01

However, even if a final Theory of Everything is incomplete and undecidable, the physical universe will be a model M of that theory, and every sentence in the language of the theory will either belong or not belong to Th (M). Archive 2009-06-01

Crucially, however, whilst the theory of a model, Th (M), may be undecidable, it is guaranteed to be complete, and it is the models of a theory which purport to represent physical reality. Theories of Everything and Godel's theorem

What matters is that the winner deserves it, not the undecidable question of whether the most deserving wins. In praise of … Tomas Tranströmer | Editorial

Moreover, whilst Peano arithmetic is axiomatizable, there is a particular model of Peano arithmetic, whose theory is typically referred to as Number theory, which Godel demonstrated to be undecidable and non-axiomatizable. Theories of Everything and Godel's theorem

However, even if a final Theory of Everything is incomplete and undecidable, the physical universe will be a model M of that theory, and every sentence in the language of the theory will either belong or not belong to Th (M). Theories of Everything and Godel's theorem

It transpires that the theory of arithmetic (technically, Peano arithmetic) is both incomplete and undecidable. Archive 2009-06-01

It transpires that the theory of arithmetic (technically, Peano arithmetic) is both incomplete and undecidable. Theories of Everything and Godel's theorem

## What does undecidable mean?

What does the word undecidable mean? Find synonyms, antonyms and the meaning of the word undecidable in our free online dictionary! Find words starting with undecidable and anagrams of undecidable.

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