However, he did think that these so-called "paradoxes of material implication" meant that material implication doesn't provide a proper understanding of any ordinary notion of implication, according to which one proposition implies another just in case the latter logically follows from and is deducible from the former.
The complexity of the nature of missingness that logically follows from clinical practice and the reality of our health care system requires the inclusion of a wide variety of patient and system characteristics in order to model the missing data structure.
Reading your work from the end to the beginning forces you to see whether or not a sentence logically follows the one before it and makes grammar and punctuation mistakes stand out more.
And, it logically follows, if these disorders are unaffected by culture, then they are surely universal to humans everywhere.
The high numbers of viable nuts observed in hybrids makes the later prediction more plausible, but quantification of hybrid fitness logically follows after we ascertain whether and where hybrids exist.
Suppose that Sharon believes (justifiedly) a conjunction of propositions, Q and R, from which P logically follows.
It also logically follows that wasting the nation's highly educated workers-graduates, postgraduates, and postdocs-is detrimental not only to Scotland's universities, but also to the economy.
This logically follows from Beijing's decade long campaign to reassure skeptical neighbors and other concerned states and dampen fears of China's growth.
It logically follows that the horizontally oriented set of basis functions represents horizontal frequencies and the other set of basis functions represents vertical frequencies.
Since cataracts is so strongly linked to diabetes and diabetes is so strongly linked to obesity, it logically follows that to avoid cataracts, avoid obesity.
And when an inference is formally valid then the conclusion logically follows from the premises.
