Sentence examples for statement of consistency from inspiring English sources

In fact, Q is such a weak theory, it is not clear that a semantically contentful statement of consistency can be formulated for Q at all.

In particular, he discovered that, if such a system is ω-consistent i.e., devoid of contradiction in a sense to be explained below—then it is not complete and that, if a system is consistent, then the statement of its consistency, easily expressible in the system, is not provable in it.

The logic-based inference can be used to derive new RDF statements that are not explicitly asserted, and logic rules can be used to identify conflict statements on behalf of consistency checking.

Note the stress here on 'significant parts'.[35] We know from Gödel's second incompleteness theorem that any consistent and sufficiently strong theory of arithmetic is unable to prove or refute (the formalized statement of) its own consistency.

When evaluating internal criticism, the evaluator assesses the adequacy (thoroughness in addressing topic), clarity (clearness of statements), consistency (congruency in semantics, etc)., logical development (support from evidence), and level of theory development.

In response to many statements, answers revealed a certain amount of consistency.

And what is required is a similar statement in terms of the primitive notion of consistency.

"Forming Consciences for Faithful Citizenship," a statement overwhelmingly adopted by the full body of bishops in 2007, is clear evidence of consistency in "preaching their values".

On the other hand, interpreting modality \ \Box\) as the predicate of formal provability in theory \(T\) and \(F\) as contradiction, converts this formula into a false statement that the consistency of \(T\) is internally provable in \(T\).

"You lose a lot of consistency".

The enemy is a lack of consistency.