Chunk and permeate, a paraconsistent inference strategy. Part I: The infinitesimal calculus

Journal of Philosophical Logic 33 (4):379-388 (2004)

Authors
Graham Priest
CUNY Graduate Center
Bryson Brown
University of Lethbridge
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
Keywords Philosophy
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DOI 10.1023/B:LOGI.0000036831.48866.12
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References found in this work BETA

Against Method.Paul Feyerabend - 1975 - London: New Left Books.
Representing and Intervening.Ian Hacking - 1987 - Revue de Métaphysique et de Morale 92 (2):279-279.
Inference and Necessity.P. K. Schotch & R. E. Jennings - 1980 - Journal of Philosophical Logic 9 (3):327-340.

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Citations of this work BETA

Real Analysis in Paraconsistent Logic.Maarten McKubre-Jordens & Zach Weber - 2012 - Journal of Philosophical Logic 41 (5):901-922.
Dialectical Contradictions and Classical Formal Logic.Inoue Kazumi - 2014 - International Studies in the Philosophy of Science 28 (2):113-132.
Chunk and Permeate II: Bohr’s Hydrogen Atom.M. Bryson Brown & Graham Priest - 2015 - European Journal for Philosophy of Science 5 (3):297-314.
Mathematical Pluralism.G. Priest - 2013 - Logic Journal of the IGPL 21 (1):4-13.
Peter Vickers: Understanding Inconsistent Science. [REVIEW]Bryson Brown - 2015 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 46 (2):413-418.

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