Choosing Your Nonmonotonic Logic: A Shopper’s Guide

In Pavel Arazim & Tomáš Lávička (eds.), The Logica Yearbook 2017. London: College Publications. pp. 109-123 (2018)

Authors
Ulf Hlobil
Concordia University
Abstract
The paper presents an exhaustive menu of nonmonotonic logics. The options are individuated in terms of the principles they reject. I locate, e.g., cumulative logics and relevance logics on this menu. I highlight some frequently neglected options, and I argue that these neglected options are particularly attractive for inferentialists.
Keywords Nonmonotonic Logic  Relevance Logic  Cautious Monotonicity  Cumulative Transitivity  Inferentialism
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Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
Tolerant, Classical, Strict.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2012 - Journal of Philosophical Logic 41 (2):347-385.
Non-Monotonic Logic.Christian Strasser & G. Aldo Antonelli - 2018 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University.
Basic Proof Theory.A. S. Troelstra - 2000 - Cambridge University Press.

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