Sentence examples for necessary entail from inspiring English sources

As a consequence, obtaining good inference relative to the attractor structure does not necessary entail valid inference with respect to the steady-state distribution as the steady-state probabilities of attractor states depend on the basin structure [ 50, 80].

Unlike Christie, Daggett does have a specific proposal for what "necessary" entails: Daggett would eliminate the inefficient practice of issuing property-tax rebates to home­owners, and he would expand the state's sales tax to a range of services that are now untaxed.

Hence Spinoza must believe that dependence and explanation are more fine-grained affairs than our modern logical entailment allows, since according to the latter, every necessary proposition entails and is entailed by every other necessary proposition.

But it straightforwardly follows from TNP that a proposition that is now-necessary cannot entail a proposition that is not now-necessary.

Since a necessary premise entails an assertoric premise, every \ AN\) or \ NA\) combination of premises will entail the corresponding \ AA\) pair, and thus the corresponding \(A\) conclusion.

On some assumptions concerning closure and supervenience, supervenience physicalism (construed as a necessary truth) entails type physicalism; on other assumptions, it doesn't.

When ◊ is metaphysical possibility or governed by a logic at least as strong as S4, the strong knowability principle (appropriately restricted), and taken as a necessary thesis, entails that there are no unknown truths.

Aristotle generalizes this to the case of categorical sentences as follows: In addition, Aristotle uses the intermodal principle \(N\rightarrow A\): that is, a necessary premise entails the corresponding assertoric one.

The conclusion from all this is that for an efficient metabolic replicator system to be maintained a small metabolic neighbourhood size is necessary, which entails three different physical-chemical properties of small metabolites and monomers: slow surface diffusion and/or fast degradation and/or fast desorption from the surface.

Because hydroponic gardening is still uncommon due to being negatively associated with growing marijuana, investing in the necessary equipment can entail a modest upfront cost.

If he has in mind the standard modal notion of entailment (\(A\) entails \(B\) just in case it is impossible for \(A\) to be true and \(B\) false), then (3) is false, for in that sense of entailment, logical truths entail all necessary truths, not just other logical truths.