Authors
R.A.M. van Rooij
Date (dd-mm-yyyy)
2025
Title
Intensional and extensional semantics for apodeictic syllogisms
Book title
Square of Opposition
Publication Year
2025
Number of pages
18
Publisher
Springer Open
Document type
Chapter
Abstract
In this paper I provide two simple and straightforward semantic analyses of Aristotle's apodeictic syllogisms. It is shown that both an intensional and an extensional semantics can be given, such that for any two terms S and T, the intension of S is 'part of' the intension of T iff the extension of T is `part of' the extension of S, just as Leibniz assumed for the semantics of assertoric syllogisms.
Permalink
https://hdl.handle.net/11245.1/c24e7b98-9f72-44fe-950a-f245ef385f04
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