Definition of Unprovability. Meaning of Unprovability. Synonyms of Unprovability

- In mathematical logic, independence is the unprovability of some specific sentence from some specific set of other sentences. The sentences in this set...
- mathematics, there is a true-but-unprovable sentence of the form Σ(10⇈10) = n, and there are infinitely many true-but-unprovable sentences of the form Σ(10⇈10)...
- appropriate formal theory F is unprovable in F. Because, when interpreted as a statement about arithmetic, this unprovability is exactly what the sentence...
- incompleteness theorem and Gerhard Gentzen's 1943 direct proof of the unprovability of ε0-induction in Peano arithmetic. The Paris–Harrington theorem gave...
- unproven propositions. Atheist criticism of agnosticism says that the unprovability of a god's existence does not imply an equal probability of either possibility...
- efficient. Faced with an unprovable statement, a complete proof procedure may sometimes succeed in detecting and signalling its unprovability. In the general case...
- In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non-circularly...
- universe whose limits are always inconsistent, always encountering the unprovable. It's like a koan, a Zen mind breaker. It's like the Cretan Epimenides...
- example, that some unbounded versions of the pigeon hole principle are unprovable. One relatively weak one being the Ramsey theorem type claim here expressed...
- understood what type of statements are algorithmically decidable, then an unprovability result of an excluded middle disjunction expresses the algorithmic undecidability...