Titlebook: Metainferential Logics; Federico Pailos,Bruno Da Ré Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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Introduction,and, therefore, substructural—logic . has sometimes been described as a theory that validates every classical inference while making invalid some classical metainferences. But, what exactly is a metainference?

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About Metainferences,. Thus, we need to start by providing a precise definition of what a metainference is. As is commonly assumed, we will take an inference to be an ordered pair of collections of formulas of some formal language. Moreover, logics are usually identified with a certain set of inferences, which are the v

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Hierarchies of Strong Kleene Metainferential Logics,ot the whole story, as those sixteen metainferential logics of level 1 can be combined in different ways to generate 256 metainferential logics of level 2, which can be combined in different ways to generate the 65536 metainferential logics of level 3, and so on.

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Weak Kleene Metainferential Logics,substructural) logics: ., ., . or .. The standard for premises and conclusions is different in each case. Five of these logics—i.e., ., ., ., ., .—are . logics–i.e., they validate Cut, Identity and Weakening. Moreover, they also validate Meta-Identity, Contraction, and Exchange. Nevertheless, they a

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Concluding Remarks,this way of understanding this relation: impure mixed logics cannot be understood as preserving some set of designated values from premises to conclusions. Also, some of them have proved to be extremely interesting, and have multiple applications, despite lacking this feature of designated-values pr

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case of a bound pronoun the choice of gender depends on the gender of the noun-phrase which is used to bind it. Since we are not indicating in the syntactic representation the binding relationships between noun-phrases and pronouns, we cannot give a syntactic account of the choice of gender in such

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Federico Pailos,Bruno Da Réry much more plausible than it had been before by showing that the planetary orbits need not be represented by some 50 cumbersome circles. Rather, 6 neat ellipses, one for every planet, sufficed for accounting for all known astronomical data. His other two laws concern the relationship between orbit

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