Chunk and Permeate, a paraconsistent inference strategy, part 1: the infinitesimal calculus

B Brown, G Priest

Research output: Contribution to journalArticlepeer-review

63 Citations (Scopus)

Abstract

In this paper we introduce a paraconsistent reasoning strategy, Chunk and Permeate. In this, information is broken up into chunks, and a limited amount of information is allowed to flow between chunks. We start by giving an abstract characterisation of the strategy. It is then applied to model the reasoning employed in the original infinitesimal calculus. The paper next establishes some results concerning the legitimacy of reasoning of this kind--specifically concerning the preservation of the consistency of each chunk--and concludes with some other possible applications and technical questions.

Original languageEnglish
Pages (from-to)379-388
Number of pages10
JournalJournal of Philosophical Logic
Volume33
Issue number4
DOIs
Publication statusPublished - Aug 2004

Keywords

  • chunking
  • infinitesimal calculus
  • paraconsistent logic

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