Title of article :
THE LOGIC OF PARTITIONS: INTRODUCTION TO THE DUAL OF THE LOGIC OF SUBSETS
Author/Authors :
David Ellerman، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
64
From page :
287
To page :
350
Abstract :
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.
Journal title :
The Review of Symbolic Logic
Serial Year :
2010
Journal title :
The Review of Symbolic Logic
Record number :
679028
Link To Document :
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