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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Connexive Logic in the Middle Ages

Connexive Logic in the Middle Ages

Lenzen, Wolfgang

Hardcover

Logic

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ISBN10: 3957433576
ISBN13: 9783957433572
Publisher: Brill Mentis
Published: May 29 2026
Pages: 409
Language: English
Connexive logic is a rather new branch of modern logic, based on the idea that no proposition ever implies its own negation. This idea goes back to Aristotle, who put forward the thesis that one and the same consequent cannot be necessitated by the same antecedent affirmed and denied. Many medieval logicians discovered, however, that the connexive theses fail to hold in certain cases, namely when the antecedent is impossible, or when the consequent is necessary. This book scrutinizes the theories of various medieval logicians such as Boethius, Abelard, Kilwardby, Burley, Buridan, Paul of Venice, Albert of Saxony, and the Pseudo-Scot, who endorsed a conception of conditionals as strict implications. This conception validates the humble version of the connexive principles, but invalidates their hardcore versions according to which, e.g., even the tautological disjunction 'p or not-p' is not implied by its own negation, i.e., by the self-contradictory conjunction 'p and not-p'.

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