Journal of Philosophical Logic

, Volume 33, Issue 4, pp 379–388

Chunk and Permeate, a Paraconsistent Inference Strategy. Part I: The Infinitesimal Calculus

  • Bryson Brown
  • Graham Priest
Article

DOI: 10.1023/B:LOGI.0000036831.48866.12

Cite this article as:
Brown, B. & Priest, G. Journal of Philosophical Logic (2004) 33: 379. doi:10.1023/B:LOGI.0000036831.48866.12

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.

chunking infinitesimal calculus paraconsistent logic 

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Bryson Brown
    • 1
  • Graham Priest
    • 2
    • 3
  1. 1.Department of PhilosophyUniversity of LethbridgeAustralia
  2. 2.Department of PhilosophyUniversity of MelbourneAustralia
  3. 3.Department of Logic and MetaphysicsUniversity of St AndrewsAustralia

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