A partial attempt to quantify the impacts attributable to the extent of climate change that had occurred by 2000 entailed an analysis of mortality for five key areas of health impacts (1).
Let a be a true sentence entailed by A but not by B. Let f be any falsehood entailed by A. Since A entails both a and f the conjunction, a&f is a falsehood entailed by A, and so part of A's falsity content.
In any case, the fact that (BECAUSE-NEC) but not its converse holds some appeal indicates that what we should be trying to frame is a perspicuous definition of a species of ontological dependence that is a relation between x and y stronger than (entailing but not entailed by) "necessarily, x exists only if y exists".
Statements expressing our beliefs about reality are equivalent in meaning to, and thus entail and are entailed by, an indefinitely large set of counterfactual statements about what experiences we would have or would be likely to have, were we to be presented with certain sensory cues and were we to carry out further tests (Lewis 1929, 142).
Additionally, our proposal lowers the area overhead entailed by SCD by 2×.
It does not entail them, nor is it entailed by them.
Questions of structure and constituency are settled by the syntax of L, while the meanings of simple expressions are given by the lexical semantics of L. Compositionality entails (although on many elaborations is not entailed by) the claim that syntax plus lexical semantics determines the entire semantics for L. It makes a big difference whether L is a natural or an artificial language.
Let g be some falsehood entailed by B but not by A, and let f, as before, be some falsehood entailed by A. The sentence f→g is a truth, and since it is entailed by g, is in B's truth content.
The financial crisis prompted a rise in debtor incarcerations, not only by virtue of the widespread financial ruin entailed by the mortgage crisis, but also through the rise of vulturous collections firms.
The proposition A, while not logically entailed by B and C, is under normal circumstances nevertheless supported by those propositions taken together.
