Sentence examples for have the validity of from inspiring English sources

Thus, we have the validity of (3.34).

By the assumptions on a i, j , γ = 0, …, n - 1, i ≥ j ≥ 1, we have the validity of (25).

Indeed, we have the validity of the following: One must be careful about the interaction between definite descriptions and modal operators, just as between them and negation.

Then, while \(\forall x\phi (x) \supset \phi (y)\) is valid, assuming \ y\) is free for \(x\) in \ \phi (x)\), we do not have the validity of \(\forall^{E}x\phi (x) \supset \phi (y)\).

Because of the way equality is treated, we have the validity of both \(\forall x\forall y(x = y \supset \Box x = y)\) and \(\forall x\forall y(x \ne y \supset \Box x \ne y)\).

We can do it by restricting ourselves to models in which we have the validity of If we require \eqref{eq16}, quantification over objects is reducible to intensional quantification: More precisely, the implication \(\eqref{eq16} \supset \eqref{eq17}\) is valid in FOIL semantics.

I expected to have to defend it, but to having the validity of both the copyright and CC licensing called into question surprised me".

Although some philosophers, such as Daniel Dennett, have disputed the validity of this distinction, others have broadly accepted it.

This may have resulted in responder bias and may have affected the validity of the ECQ.

Fine, intelligent readers have confirmed the validity of the ghosts (Truman Capote); equally fine and intelligent readers have thunderously established the governess's madness (Edmund Wilson).

Validation of the questionnaire would have increased the validity of the study.