Sentence examples similar to be provable with from inspiring English sources

(A More Complex Example) But now the Existence of Extensions principle follows by universal generalization on the concept variable F. Thus, simply by adding a term-forming operator such as ε to classical logic with identity, it is provable that every concept gets correlated with an extension.

The logical language of propositional provability logic contains, in addition to propositional atoms and the usual truth-functional operators as well as the contradiction symbol ⊥, a modal operator □ with intended meaning "is provable in T," where T is a sufficiently strong formal theory, let us say Peano Arithmetic (see Section 4).

As a formal system the propositional calculus is concerned with determining which formulas (compound proposition forms) are provable from the axioms.

Conversations with Russians can spiral into an epistemological abyss, where nothing is provable except that everything is not what it seems.

However, there is a problem with this claim that can be exposed by noting that ◊□A→A is provable from (B).

"It's provable that it will have that impact," Professor Safranek said.

There's no danger in saying it; it's provable by polls.

This principle is provable in Peano Arithmetic.

Conservativeness criterion (syntactic formulation): Any formula of \(L\) that is provable in \(L^\) is provable in \(L\).

saying that for any two sentences there is a third sentence which is provable if and only if either of the first two sentences is provable.

However, neither SKK ≥ SK KK) nor SK KK) ≥ SKK is provable in CL≥; a fortiori, the equality of the two terms in not provable in CL=.