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Inductive Reasoning With Difference-Making Conditionals

Sezgin, Meliha and Kern-Isberner, Gabriele and Rott, Hans (2020) Inductive Reasoning With Difference-Making Conditionals. NMR 2020 - 18th International Workshop on Non-Monotonic Reasoning. pp. 83-92.

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Abstract

In belief revision theory, conditionals are often interpreted via the Ramsey test. However, the classical Ramsey Test fails to take into account a fundamental feature of conditionals as used in natural language: typically, the antecedent is relevant to the consequent. Rott has extended the Ramsey Test by introducing so-called difference-making conditionals that encode a notion of relevance. This paper explores difference-making conditionals in the framework of Spohn’s ranking functions. We show that they can be expressed by standard conditionals together with might conditionals. We prove that this reformulation is fully compatible with the logic of difference-making conditionals, as introduced by Rott. Moreover, using c-representations, we propose a method for inductive reasoning with sets of difference-making conditionals and also provide a method for revising ranking functions by a set of difference-making conditionals.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Sezgin, Melihameliha.sezgin@tu-dortmund.de0000-0002-7418-0644
Kern-Isberner, Gabrielegabriele.kern-isberner@cs.uni-dortmund.de0000-0001-8689-5391
Rott, Hanshans.rott@ur.de0000-0002-8142-2736
Keywords: conditionals, difference-making, difference-making conditionals, relevance, ranking functions, c-representations
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Artificial Intelligence > Classical AI
General Issues > Evidence
General Issues > Theory Change
Depositing User: Hans Rott
Date Deposited: 20 Aug 2021 20:34
Last Modified: 24 Aug 2021 03:14
Item ID: 19475
Journal or Publication Title: NMR 2020 - 18th International Workshop on Non-Monotonic Reasoning
Publisher: Workshop Notes
Official URL: https://nmr2020.dc.uba.ar/WorkshopNotes.pdf
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Artificial Intelligence > Classical AI
General Issues > Evidence
General Issues > Theory Change
Date: 12 September 2020
Page Range: pp. 83-92
URI: http://philsci-archive.pitt.edu/id/eprint/19475

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