Open Access"A Smack of Irrelevance" in Inconsistent Mathematics?
Author(s) -
Luis Estrada-González,
Manuel Tapia-Navarro
Publication year - 2021
Publication title -
australasian journal of logic
Language(s) - English
Resource type - Journals
ISSN - 1448-5052
DOI - 10.26686/ajl.v18i5.6925
Subject(s) - relevance (law) , antecedent (behavioral psychology) , set (abstract data type) , subject (documents) , linguistics , mathematics education , mathematics , epistemology , psychology , computer science , social psychology , philosophy , programming language , political science , library science , law
Recently, some proponents and practitioners of inconsistent mathe- matics have argued that the subject requires a conditional with ir- relevant features, i.e. where antecedent and consequent in a valid conditional do not behave as expected in relevance logics —by shar- ing propositional variables, for example. Here we argue that more fine-grained notions of content and content-sharing are needed to ex- amine the language of (inconsistent) arithmetic and set theory, and that the conditionals needed in inconsistent mathematics are not as irrelevant as it is suggested in the current literature.