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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