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

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

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10.1023/b:logi.0000036831.48866.12

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Author Profiles

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Graham Priest
CUNY Graduate Center
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Bryson Brown
University of Lethbridge

Citations of this work

Fragmentation and information access.Adam Elga & Agustin Rayo - 2021 - In Cristina Borgoni, Dirk Kindermann & Andrea Onofri, The Fragmented Mind. Oxford: Oxford University Press.
Impossible Worlds.Francesco Berto - 2013 - Stanford Encyclopedia of Philosophy 2013:en ligne.
Paraconsistent logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
The liberation argument for inconsistent mathematics.Franci Mangraviti - 2023 - Australasian Journal of Logic 29 (2):278-315.

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References found in this work

Against method.Paul Feyerabend - 1993 - London: New Left Books.
Representing and Intervening.Ian Hacking - 1983 - British Journal for the Philosophy of Science 35 (4):381-390.
Against Method.P. Feyerabend - 1975 - British Journal for the Philosophy of Science 26 (4):331-342.
Representing and Intervening.Ian Hacking - 1987 - Revue de Métaphysique et de Morale 92 (2):279-279.

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