Real Analysis in Paraconsistent Logic (2011)
Type of ContentJournal Articles
PublisherUniversity of Canterbury. Mathematics and Statistics
AuthorsMcKubre-Jordens, M., Weber, Z.show all
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.
CitationMcKubre-Jordens, M., Weber, Z. (2011) Real Analysis in Paraconsistent Logic. Journal of Philosophical Logic, (early access online).
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ANZSRC Fields of Research01 - Mathematical Sciences
01 - Mathematical Sciences::0104 - Statistics