Real Analysis in Paraconsistent Logic

dc.contributor.author	McKubre-Jordens, M.
dc.contributor.author	Weber, Z.
dc.date.accessioned	2011-10-12T01:37:32Z
dc.date.available	2011-10-12T01:37:32Z
dc.date.issued	2011	en
dc.description.abstract	This paper begins an analysis of the real line using an inconsistency- tolerant (paraconsistent) logic. We show that basic field and compactness properties hold, by way of novel proofs that make no use of consistency- reliant inferences; some techniques from constructive analysis are used instead. While no inconsistencies are found in the algebraic operations on the real number field, prospects for other non-trivializing contradictions are left open.	en
dc.identifier.citation	McKubre-Jordens, M., Weber, Z. (2011) Real Analysis in Paraconsistent Logic. Journal of Philosophical Logic, (early access online).	en
dc.identifier.doi	https://doi.org/10.1007/s10992-011-9210-6
dc.identifier.issn	0022-3611
dc.identifier.uri	http://hdl.handle.net/10092/5626
dc.language.iso	en
dc.publisher	University of Canterbury. Mathematics and Statistics	en
dc.rights.uri	https://hdl.handle.net/10092/17651	en
dc.subject.anzsrc	Field of Research::01 - Mathematical Sciences	en
dc.subject.anzsrc	Field of Research::01 - Mathematical Sciences::0104 - Statistics	en
dc.title	Real Analysis in Paraconsistent Logic	en
dc.type	Journal Article

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