A Critical Examination of the Historical Origins of Connexive Logic

DC FieldValueLanguage
dc.contributor.authorLenzen, Wolfgang
dc.date.accessioned2021-12-23T15:58:36Z-
dc.date.available2021-12-23T15:58:36Z-
dc.date.issued2020
dc.identifier.issn01445340
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/3477-
dc.description.abstractIt is often assumed that Aristotle, Boethius, Chrysippus, and other ancient logicians advocated a connexive conception of implication according to which no proposition entails, or is entailed by, its own negation. Thus Aristotle claimed that the proposition `if B is not great, B itself is great [ horizontal ellipsis ] is impossible'. Similarly, Boethius maintained that two implications of the type `If p then r' and `If p then not-r' are incompatible. Furthermore, Chrysippus proclaimed a conditional to be `sound when the contradictory of its consequent is incompatible with its antecedent', a view which, in the opinion of S. McCall, entails the aforementioned theses of Aristotle and Boethius. Now a critical examination of the historical sources shows that the ancient logicians most likely meant their theses as applicable only to `normal' conditionals with antecedents which are not self-contradictory. The corresponding restrictions of Aristotle's and Boethius' theses to such self-consistent antecedents, however, turn out to be theorems of ordinary modal logic and thus don't give rise to any non-classical system of genuinely connexive logic.
dc.language.isoen
dc.publisherTAYLOR & FRANCIS LTD
dc.relation.ispartofHISTORY AND PHILOSOPHY OF LOGIC
dc.subjectARISTOTLE
dc.subjectEthics
dc.subjectHistory & Philosophy Of Science
dc.subjectLogic
dc.subjectPhilosophy
dc.subjectScience & Technology - Other Topics
dc.subjectSocial Sciences - Other Topics
dc.titleA Critical Examination of the Historical Origins of Connexive Logic
dc.typejournal article
dc.identifier.doi10.1080/01445340.2019.1650610
dc.identifier.isiISI:000482336100001
dc.description.volume41
dc.description.issue1
dc.description.startpage16
dc.description.endpage35
dc.identifier.eissn14645149
dc.publisher.place2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND
dcterms.isPartOf.abbreviationHist. Philos. Log.
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