Definition of undecidable in English:
undecidable
adjectiveʌndɪˈsʌɪdəb(ə)lˌəndəˈsīdəb(ə)l
1Not able to be firmly established or refuted.
the facts of Christ's existence are ultimately undecidable
- 1.1Logic (of a proposition or theorem) not able to be proved or disproved.
Example sentencesExamples
- Godel showed that in any formal system adequate for number theory there is an undecidable formula, that is, a formula such that neither it nor its negation can be proved.
- Viruses are free to mutate into an infinite variety of functionally equivalent forms, whereas the process of establishing their equivalence is undecidable.
- In Undecidable theories Tarski showed that group theory, lattices, abstract projective geometry, closure algebras and others mathematical systems are undecidable.
- And we know that 1st order logic is undecidable,
- All we could achieve by our mathematics would be non-constructive existence proofs that told us that they existed, in much the same manner that we can deduce the existence of undecidable propositions.
Derivatives
nounʌndɪsʌɪdəˈbɪlɪti
This work was largely on recursion theory and undecidability.
Example sentencesExamples
- But, in the haze and visual undecidability of Lyons' St Albans facades, perhaps some remnants of both these lost ideals also hover.
- Such an attempt quickly presents the problem of undecidability, an interesting principle with wide-ranging implications.
- Perhaps it was part of a more general interest in undecidability, and ambiguity.
- Such concepts point to the undecidability of affect, its existence in the self and the other, the film and the theorist.