Dialectic, the Dictum de Omni and Ecthesis

History and Philosophy of Logic 40 (3):207-233 (2019)
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Abstract

In this paper, we provide a detailed critical review of current approaches to ecthesis in Aristotle’s Prior Analytics, with a view to motivate a new approach, which builds upon previous work by Marion & Rückert (2016) on the dictum de omni. This approach sets Aristotle’s work within the context of dialectic and uses Lorenzen’s dialogical logic, hereby reframed with use of Martin-Löf's constructive type theory as ‘immanent reasoning’. We then provide rules of syllogistic for the latter, and provide proofs of e-conversion, Darapti and Bocardo and e-subalternation, while showing how close to Aristotle’s text these proofs remain.

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Author Profiles

Shahid Rahman
Université Charles-de-Gaulle - Lille 3
Mathieu Marion
Université du Québec à Montréal