The logic of partitions: Introduction to the dual of the logic of subsets: The logic of partitions

Review of Symbolic Logic 3 (2):287-350 (2010)
Download Edit this record How to cite View on PhilPapers
Modern categorical logic as well as the Kripke and topological models of intuitionistic logic suggest that the interpretation of ordinary “propositional” logic should in general be the logic of subsets of a given universe set. Partitions on a set are dual to subsets of a set in the sense of the category-theoretic duality of epimorphisms and monomorphisms—which is reflected in the duality between quotient objects and subobjects throughout algebra. If “propositional” logic is thus seen as the logic of subsets of a universe set, then the question naturally arises of a dual logic of partitions on a universe set. This paper is an introduction to that logic of partitions dual to classical subset logic. The paper goes from basic concepts up through the correctness and completeness theorems for a tableau system of partition logic.
PhilPapers/Archive ID
Revision history
First archival date: 2014-10-18
Latest version: 1 (2017-09-04)
View upload history
References found in this work BETA
First-Order Logic.Smullyan, Raymond M.
First-Order Logic.Smullyan, Raymond M.

View all 16 references / Add more references

Citations of this work BETA

View all 6 citations / Add more citations

Added to PP index

Total views
161 ( #21,521 of 44,434 )

Recent downloads (6 months)
43 ( #18,086 of 44,434 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.