Another Side of Categorical Propositions: The Keynes–Johnson Octagon of Oppositions

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History and Philosophy of Logic 44 (4):459-475 (2023)
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Abstract

The aim of this paper is to make sense of the Keynes–Johnson octagon of oppositions. We will discuss Keynes' logical theory, and examine how his view is reflected on this octagon. Then we will show how this structure is to be handled by means of a semantics of partition, thus computing logical relations between matching formulas with a semantic method that combines model theory and Boolean algebra.

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10.1080/01445340.2022.2143711

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Author Profiles

Amirouche Moktefi
Tallinn University of Technology
Fabien Schang
Université de Lorraine (PhD)

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References found in this work

An Investigation of the Laws of Thought.George Boole - 1854 - [New York]: Dover Publications.
Logic: Part I.W. E. Johnson - 1921 - Mind 30 (120):448-455.
Logic.W. E. Johnson - 1925 - Philosophical Review 34 (1):79-87.
The Cube, the Square and the Problem of Existential Import.Saloua Chatti & Fabien Schang - 2013 - History and Philosophy of Logic 34 (2):101-132.
Abstract Logic of Oppositions.Fabien Schang - 2012 - Logic and Logical Philosophy 21 (4):415--438.

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