Dialectic, the Dictum de Omni and Ecthesis

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

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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Alexander of Aphrodisias and the Heterodox dictum de omni et de nullo.Luca Gili - 2015 - History and Philosophy of Logic 36 (2):114-128.
What Is Aristotelian Ecthesis?Robin Smith - 1982 - History and Philosophy of Logic 3 (2):113-127.
Modal Ecthesis.Fred Johnson - 1993 - History and Philosophy of Logic 14 (2):171-182.
Aristoteles’ in izahat Yöntemi Hakkindaki Yorumlar.Murat Kelikli - 2014 - Kutadgubilig Felsefe-Bilim Araştırmaları Dergisi 25:115-127.
Vollkommene Syllogismen und reine Vernunftschlüsse: Aristoteles und Kant. Eine Stellungnahme zu Theodor Eberts Gegeneinwänden. Teil 1.Michael Wolff - 2010 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 41 (1):199 - 213.
Lukasiewicz's Symbolic System for Aristotle's Logic.Davud Heidari - 2010 - Journal of Philosophical Investigations at University of Tabriz 4 (216):1-29.
A Completed System for Robin Smith’s Incomplete Ecthetic Syllogistic.Pierre Joray - 2017 - Notre Dame Journal of Formal Logic 58 (3):329-342.
The Principle of Contradiction and Ecthesis in Aristotle's Syllogistic.Pierre Joray - 2014 - History and Philosophy of Logic 35 (3):219-236.
'Most-most-some' arguments and the 'dictum de omni'.P. T. Geach - 1972 - Philosophical Studies 23 (1-2):122 - 123.
V. Das Dictum de omni.Georg Wernick - 1908 - Archiv für Geschichte der Philosophie 21 (1):76-92.

Analytics

Added to PP
2019-06-19

Downloads
77 (#211,518)

6 months
36 (#97,055)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

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