Logics of Relative Identity

Paweł Garbacz

doi:10.1305/ndjfl/1071505768

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Home > Journals > Notre Dame J. Formal Logic > Volume 43 > Issue 1 > Article

2002 Logics of Relative Identity

Paweł Garbacz

Notre Dame J. Formal Logic 43(1): 27-50 (2002). DOI: 10.1305/ndjfl/1071505768

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Abstract

This paper is the first part of an exploration into the logical properties of relative identity. After providing the semantic grounds for various monadic logics of relative identity, I define the minimal system and its nine extensions. It is suggested that despite their purely formal origin at least some of them may contain nontrivial philosophical insights. All logics are axiomatized by means of sound and complete sequent calculi. I show their affinities with existing formalizations.