Journal of Philosophical Logic

, Volume 33, Issue 4, pp 379-388

First online:

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

  • Bryson BrownAffiliated withDepartment of Philosophy, University of Lethbridge
  • , Graham PriestAffiliated withDepartment of Philosophy, University of MelbourneDepartment of Logic and Metaphysics, University of St Andrews

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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