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

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.

Author Profiles

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

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