Journal of Philosophical Logic

, Volume 33, Issue 4, pp 379–388 | Cite as

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

  • Bryson Brown
  • Graham Priest


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 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Boyer, C. B. (1959) The History of the Calculus and its Conceptual Development, Dover Publications, New York.Google Scholar
  2. Cajori, F. (1991) A History of Mathematics, 5th edn, Chelsea Publishing Co., New York.Google Scholar
  3. Feyerabend, P. (1975) Against Method, Verso, London.Google Scholar
  4. Hacking, I. (1983) Representing and Intervening, Cambridge University Press, Cambridge.Google Scholar
  5. Priest, G. and Routley, R. (1989) Applications of paraconsistent logic, Ch. 13 of Priest, Routley and Norman (1989).Google Scholar
  6. Priest, G., Routley, R. and Norman, J. (eds.) (1989) Paraconsistent Logic: Essays on the Inconsistent, Philosophia Verlag, München.Google Scholar
  7. Scotch, P. K. and Jennings, R. (1980) Inference and necessity, J. Philos. Logic 9, 327–40.Google Scholar
  8. Scotch, P. K. and Jennings, R. (1989) On detonating, Ch. 11 of Priest, Routley and Norman (1989).Google Scholar

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

Personalised recommendations