Sentence examples for are not provable from inspiring English sources

"The cases are not provable on a case-by-case basis".

In Australia, however, demands for unliquidated damages arising other than by reason of contract or breach of trust are not provable.

Classical mathematicians also accept assumption 2 and therefore reluctantly agree with Gödel that, contrary to Hilbert's expectation, there are true mathematical statements which are not provable.

Now there are, by Gödel's first theorem, arithmetical truths that are not provable even in ZFC.

Solovay's completeness theorem provides an alternative way to construct many arithmetical sentences that are not provable in Peano Arithmetic.

"At times we must engage an act of faith," he once said, "that key things are doable that are not provable".

"He can imagine extensions and elaborations on reality that aren't provable, of course, but that are consistent with what we know".

"My year at Harvard Law School did me very little good," he said, "except for the fact that I don't accept that which I don't believe, or things that aren't provable.

More exactly, Gödel showed that, if the system is consistent, then p is not provable; if it is ω-consistent, then ∼p is not provable.

The Crown Prosecution Service concluded the assault was "not provable to criminal standard".

Let us consider the sentence (2) This sentence is not provable in the system.