What does undecidable mean?

Looking for the meaning or definition of the word undecidable? Here's what it means.

Adjective (mathematics) 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. (mathematics) (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.) Find more words! 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Elementary arithmetic is moreover undecidable. If so, the whole identity issue is undecidable, since one is demanding metaphysical answers to questions that are in large part semantical. We investigate decidability problems and prove that some properties that are undecidable for general context-free languages become decidable for XML-languages. Thus an undecidable disjunctive synthesis is decided and the inauguration of its subject is tied to the consequences of the evental statement. Viruses are free to mutate into an infinite variety of functionally equivalent forms, whereas the process of establishing their equivalence is undecidable. See Also What is the opposite of undecidable? Sentences with the word undecidable Words that rhyme with undecidable Nearby Definitions undecidability undecidabilities undeceptive undeception undecently undecent undecidably undecide undecided undecidedly undecidedness undecideds 11-letter Words Starting With u un und unde undec undeci undecid undecida undecidab undecidabl