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The Kantian tradition, in contrast, eschews the notion of consequences and urges instead that an action is right only if it is universalizable i.e., only if the moral rule it embodies could become a universal law applicable to all moral agents.
Thus, classical conditioning seemed to some to be too restrictive to explain the panoply of novel behavior organisms appear to execute.[10] Edward Thorndike's research with cats in puzzle boxes broadened the theory of associative learning by introducing the notion of consequences to associative learning.
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Jago allows epistemic states to access worlds not closed under any non-trivial notion of consequence.
A fourth solution proposed by Rott (1991) and Cross (1990) consists in making the underlying notion of consequence non-monotonic.
The models of the logic can have probabilistic aspects, the notion of consequence can have a probabilistic flavor, or the language of the logic can contain probabilistic operators.
Moreover, as we have seen, some earlier discussions of the notion of consequence were conducted explicitly within the context of the topical framework, following Boethius.
The challenge to (GRT) presented in Theorem 3 above cannot be solved by the adoption of models where the monotonicity of the underlying notion of consequence is dropped.
The Prior Analytics is not the only Aristotelian text providing the historical background for the development of the notion of consequence.
But this is all right, since, as Tarski has already pointed out, (F) is not a sufficient condition for the ordinary notion of consequence).
In Gentzen's proof theory for classical logic, a notion of consequence is defined to hold between multiple premises and multiple conclusions.
Alongside with this more technical layer, medieval authors also discussed extensively the very nature of the notion of consequence: what counts as appropriate grounds for a valid consequence, adequate definitions, subdivisions of kinds of consequence etc.
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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