Logica Universalis Webinar, March 26, 2025, at 4pm CET (Paris-Geneva-Warsaw) Speaker: Stephen Read, University of St. Andrews https://philpeople.org/profiles/stephen-read Title of the talk: Consequence, Signification and Insolubles in Fourteenth-Century Logic Abstract: Forty years ago, Niels Green-Pedersen listed five different ac- counts of valid consequence, variously promoted by logicians in the early fourteenth century and discussed by Niels Drukken of Denmark in his commentary on Aristotle's Prior Analytics, written in Paris in the late 1330s. Two of these arguably fail to give defining conditions: truth preservation was shown by Buridan and others to be neither neces- sary nor su cient; incompatibility of the opposite of the conclusion with the premises is merely circular if incompatibility is analysed in terms of consequence. Buridan proposed to define consequence in terms of preser- vation of signifying as things are. John Mair pinpointed a sophism which threatens to undermine this proposal. Speaking anachronistically, Brad- wardine turned it around: he suggested that a necessary condition on consequence was that the premises signify everything the conclusion sig- nifies. Dumbleton gave counterexamples to Bradwardine's postulates in which the conclusion arguably signifies more than, or even completely differently from the premises. Yet a long-standing tradition held that some species of validity depend on the conclusion being in some way contained in the premises. We explore the connection between significa- tion and consequence and its role in solving the insolubles. https://link.springer.com/article/10.1007/s11787-025-00369-3
Associate organization: Arché https://www.st-andrews.ac.uk/arche/ presented by its director Simon Prosser Chair: Ioannis Vandoulakis, Vice-President of LUA (Logica Universalis Association) Everybody is welcome to attend, register here: https://cassyni.com/events/PwLP6bybNEoH2jr5dnxFkZ Jean-Yves Beziau Editor-in-Chief Logica Universalis and organizer of the LUWebinar https://www.jyb-logic.org/
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