2021
DOI: 10.1007/s11229-021-03065-z
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Non-Boolean classical relevant logics II: Classicality through truth-constants

Abstract: This paper gives an account of Anderson and Belnap’s selection criteria for an adequate theory of entailment. The criteria are grouped into three categories: criteria pertaining to modality, those pertaining to relevance, and those related to expressive strength. The leitmotif of both this paper and its prequel is the relevant legitimacy of disjunctive syllogism. Relevant logics are commonly held to be paraconsistent logics. It is shown in this paper, however, that both E and R can be extended to explosive log… Show more

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Cited by 5 publications
(7 citation statements)
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“…This work proposes a DSS that uses a six-step judgment procedure to create sustainable or upgradeable choice modeling for MCDM issues, therefore improving the reliability or trustworthiness of information collection [ 21 ]. Let Alt = [ x 1 , x 2 ,…, x |alt| ] constitute a collection of marketplace options (technology).…”
Section: Methodsmentioning
confidence: 99%
“…This work proposes a DSS that uses a six-step judgment procedure to create sustainable or upgradeable choice modeling for MCDM issues, therefore improving the reliability or trustworthiness of information collection [ 21 ]. Let Alt = [ x 1 , x 2 ,…, x |alt| ] constitute a collection of marketplace options (technology).…”
Section: Methodsmentioning
confidence: 99%
“…With that in mind it is important to get clear on which features are utilized in the two types of WVSP-proof available-the one displayed in this paper, and that used in Meyer's original proof for RM. 7 This subsection briefly outlines Meyer's proof and compares it with the one displayed in this paper.…”
Section: Meyer's Wvsp-proof In Comparisonmentioning
confidence: 98%
“…This is evidently incorrect since RM 1 A for every formula A. 7 Meyer's proof can be found as RM84 in [1, p. 417].…”
Section: Meyer's Wvsp-proof In Comparisonmentioning
confidence: 99%
“…Anderson and Belnap, for instance, famously claimed that it simply is no kind of conditional at all on account that modus ponens does not hold for it. It is argued in [18] that this view is not forced by Anderson and Belnap's selection criteria for a theory of entailment, but that, of course, does not provide an answer to the question of just what kind of conditionality-if any-the material conditional expresses.…”
Section: Logics Logical Consequence Relations and Entailmentmentioning
confidence: 99%