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The assumption that degrees of belief satisfy the probability laws implies omniscience about deductive logic, because the probability laws require that all deductive logical truths have probability one, all deductive inconsistencies have probability zero, and the probability of any conjunction of sentences be no greater than any of its deductive consequences.
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First, we demonstrate that any conjunction-task model must include a bidirectional pathway between dorsal and ventral PFC.
Any possible attack by the Opponent against a conjunction, any possible defence of a disjunction, and either possible reaction in the case of an attack by the Proponent against a conditional he defends (counterattack or defence) will generate a new branch in the dialogue tree.
But any such conjunction is valid if and only if every conjunct is valid; and a conjunct is valid if and only if it contains some letter p as well as ∼p as parts of the whole disjunction.
The property of being both square and not square (or any other conjunction of contradictory properties) determines the empty set, and so on.
There is no upper bound on the "size" of a molecular fact and no restriction on which atomic facts can form a conjunction; for any atomic facts at all, there is a molecular fact whose conjuncts are exactly those facts.
The selection criteria were as follows: (population) patients with PCOS; (intervention) treatment with inositol (MYO, DCI, or both, with any dose and any duration) in conjunction with an ovulation-inducing agent versus the ovulation-inducing agent alone; (outcome) oocyte and embryo quality; (study design) randomized controlled trials.
There has been extensive research on such universal sets, and a significant example is the set composed of any entangling gate in conjunction with any universal set of single-qubit unitaries [2, 3].
(Compare the situation with a very long conjunction: given any particular conjunct, it may be likely that that conjunct is true, while being very unlikely that every conjunct, and hence the conjunction as a whole, is true).
Furthermore, the widespread use of antibiotics for any infection in conjunction with the inadequate treatment of syphilis in its early stages seems to have considerably changed the clinical picture of syphilis.
However, as several of the studies included in this review reported significant associations with outcome in well-conducted, prospective studies, it arouses the possibility that the prognostic value of KRAS-LCS6 genotype may be largely dependent on the combination therapy (if any) used in conjunction with the anti-EGFR treatment.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com