A Nelsonian Response to ‘the Most Embarrassing of All Twelfth-century Arguments’

History and Philosophy of Logic 41 (2):101-113 (2019)
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Abstract

Alberic of Paris put forward an argument, ‘the most embarrassing of all twelfth-century arguments’ according to Christopher Martin, which shows that the connexive principles contradict some other logical principles that have become deeply entrenched in our most widely accepted logical theories. Building upon some of Everett Nelson’s ideas, we will show that the steps in Alberic of Paris’ argument that should be rejected are precisely the ones that presuppose the validity of schemas that are nowadays taken as some of the most trivial logical truths: (A∧B) → A and (A∧B) → B, i.e. Simplification.

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Author Profiles

Luis Estrada-González
National Autonomous University of Mexico
Elisángela Ramírez
Universidad Nacional Autonoma de Mexico

Citations of this work

Rewriting the History of Connexive Logic.Wolfgang Lenzen - 2022 - Journal of Philosophical Logic 51 (3):525-553.
Variable Sharing in Connexive Logic.Luis Estrada-González & Claudia Lucía Tanús-Pimentel - 2021 - Journal of Philosophical Logic 50 (6):1377-1388.

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References found in this work

Relevant Logics and Their Rivals.Richard Routley, Val Plumwood, Robert K. Meyer & Ross T. Brady - 1982 - Ridgeview. Edited by Richard Sylvan & Ross Brady.
Thought.Gilbert Harman - 1973 - Noûs 11 (4):421-430.
Thought.Gilbert Harman & Laurence BonJour - 1975 - Philosophical Review 84 (2):256.
Sextus Empiricus: Outlines of Scepticism.Julia Annas & Jonathan Barnes (eds.) - 1994 - New York: Cambridge University Press.

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