Sentence examples for is provable from inspiring English sources

It is a virtue of FS that it is thoroughly classical: It is formulated in classical logic; if a sentence is provably true in FS, then the sentence itself is provable in FS; and conversely if a sentence is provable, then it is also provably true.

Heyting also proposes a provability operator +, where +p means "p is provable".

The truth is plain, and it is provable.

Soundness: if something is provable, it is valid.

Completeness: if something is valid, it is provable.

It is shown that the new scheme is provable secure in standard model.

Since ∼p is a theorem, it should be true, and there seem then to be two conflicting sentences that are both true namely, p is provable in the system and ∼p is provable in it.

Similarly, if ∼p is a theorem, then it says that ∼(2) or that p is provable in the system.

Further, there exists an effective procedure for deciding whether a given formula is provable in the system.

If the second statement is true, then the first one is provable -- and anything provable must be true.

First, as compared to awards for pain and suffering, the loss from economic injury is provable, not subjective or speculative.