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• W2155129617 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." @default.
• W2155129617 created "2016-06-24" @default.
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• W2155129617 date "2011-08-09" @default.
• W2155129617 modified "2023-09-26" @default.
• W2155129617 title "Real Analysis in Paraconsistent Logic" @default.
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• W2155129617 doi "https://doi.org/10.1007/s10992-011-9210-6" @default.
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