Chunk and Permeate, a Paraconsistent Inference Strategy. Part I: The Infinitesimal Calculus. Brown, B. & Priest, G. Journal of Philosophical Logic, 33(4):379--388, Springer, 2004.
Chunk and Permeate, a Paraconsistent Inference Strategy. Part I: The Infinitesimal Calculus [link]Web  doi  abstract   bibtex   
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.
@article{ Priest2004d,
  author = {Brown, Bryson and Priest, Graham},
  title = {Chunk and Permeate, a Paraconsistent Inference Strategy. Part I:
	The Infinitesimal Calculus},
  journal = {Journal of Philosophical Logic},
  year = {2004},
  volume = {33},
  pages = {379--388},
  number = {4},
  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.},
  copyright = {Copyright 2004 Springer},
  issn = {00223611},
  jstor_articletype = {research-article},
  jstor_formatteddate = {Aug., 2004},
  language = {English},
  publisher = {Springer},
  urlweb = {http://www.jstor.org/stable/30226814},
  doi = {http://dx.doi.org/10.1023/B:LOGI.0000036831.48866.12},
  keywords = {chunking infinitesimal calculus paraconsistent logic}
}

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