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The principles of propositional modal logic, found in Prior Analytics I.15, were generally expressed as follows: if the antecedent of a valid consequence is possible/necessary, the consequent is possible/necessary (Abelard, Dialectica 202.6 8).
William stated that the antecedent of the argument is true but the consequent is false and therefore the consequence is not valid (Lottin 1959, 195; Marenbon 1997, 226 227).
A syllogistic consequence is a formal consequence whose antecedent is a conjunction of two quantified propositions and whose consequent is a third quantified proposition.
For Boethius, both kinds of consequences, natural and accidental, entail inseparability, roughly meaning that the antecedent cannot be true while the consequent is false (i.e. a version of (TP)), but natural consequences entail something more, namely a real causal, metaphysical connection between the items in question.
If true, the consequent is evaluated and returned.
Likewise also with those that depend on the Consequent: for the consequent is a branch of Accident.
Once a new rule is generated by clustering, the consequent is selected from a discrete set of candidate values by ACO.
Also, in sample learning strategy, when a new rule is added the rule consequent is assigned such that the localization property of Gaussian rule is fully exploited.
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Only on (CPn), that is, can the consequent be detached.
In conviction, the supports of both antecedent and consequent are taken into account.
An inference yields evident knowledge only when the affirmation of its antecedent and the negation of its consequent are contradictory.
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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