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An Arithmetization of Logical Oppositions

.
Schang F.
In press

An arithmetic theory of oppositions is devised by comparing expressions, Boolean bitstrings, and integers. This leads to a set of correspondences between three domains of investigation, namely: logic, geometry, and arithmetic. The structural properties of each area are investigated in turn, before justifying the procedure as a whole. To finish, I show how this helps to improve the logical calculus of oppositions, through the consideration of corresponding operations between integers.

Language: English
Full text
Keywords: oppositionVectorsoppositeQuestion-Answer Semanticsk-base systembitstringChasles' relation
Publication based on the results of:
Metaphilosophy: the disciplinary boundaries of philosophical rationality (2016)

In book

The square of opposition: a cornerstone of thought
Basel: Birkhäuser, 2016.
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