Monotonicity in Practical Reasoning

Argumentation 17 (3):335-346 (2003)
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Abstract

Classic deductive logic entails that once a conclusion is sustained by a valid argument, the argument can never be invalidated, no matter how many new premises are added. This derived property of deductive reasoning is known as monotonicity. Monotonicity is thought to conflict with the defeasibility of reasoning in natural language, where the discovery of new information often leads us to reject conclusions that we once accepted. This perceived failure of monotonic reasoning to observe the defeasibility of natural-language arguments has led some philosophers to abandon deduction itself (!), often in favor of new, non-monotonic systems of inference known as `default logics'. But these radical logics (e.g., Ray Reiter's default logic) introduce their desired defeasibility at the expense of other, equally important intuitions about natural-language reasoning. And, as a matter of fact, if we recognize that monotonicity is a property of the form of a deductive argument and not its content (i.e., the claims in the premise(s) and conclusion), we can see how the common-sense notion of defeasibility can actually be captured by a purely deductive system

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Citations of this work

Reasoning from Conflicting Sources.Gilbert Plumer & Kenneth Olson - 2007 - In Hans V. Hansen, Christopher W. Tindale, J. Anthony Blair, Ralph H. Johnson & David M. Godden (eds.), Dissensus and the Search for Common Ground. Proceedings 2007 [CD-ROM]. Ontario Society for the Study of Argumentation. pp. 1-9.
Monotonicity and Reasoning with Exceptions.Frank Zenker - 2006 - Argumentation 20 (2):227-236.

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References found in this work

Problems in Argument Analysis and Evaluation.Trudy Govier - 2018 - Windsor: University of Windsor.
A logic for default reasoning.Ray Reiter - 1980 - Artificial Intelligence 13 (1-2):81-137.
A critique of pure reason.Drew McDermott - 1987 - Computational Intelligence 3:151-60.
Logic: Techniques of Formal Reasoning.Donald Kalish, Richard Montague & Gary Mar - 1964 - New York, NY, USA: Oxford University Press USA. Edited by Richard Montague.

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