NDLI: Bootstrap Contraction

Content Provider	Springer Nature Link
Author	Hansson, Sven Ove
Copyright Year	2012
Abstract	We can often specify how we would contract by a certain sentence by saying that this contraction would coincide with some other contraction that we know how to perform. We can for instance clarify that our contraction by p&q would coincide with our contraction by p, or by q, or by {p, q}. In a framework where the set of potential outcomes is known, some contractions are “self-evident” in the sense that there is only one serious candidate that can be the outcome of such a contraction. Contraction by a specific contractee (sentence or set of sentences to be contracted) is bootstrapped if it is specified by saying that it coincides with some such self-evident contraction. For a wide range of (multiple) contraction operators, contractions by any contractee can be bootstrapped. This means that the selection mechanism (selection function, incision function, etc.) can be replaced by a function called a bootstrapping selector that assigns to each contractee some “self-evident” contractee that yields the same outcome. With bootstrapping we can eliminate traditional extralogical components in contraction (e.g., selection functions) and replace them by bootstrapping selectors that reflect more closely the ways in which we actually reason and argue about belief contraction.
Starting Page	1013
Ending Page	1029
Page Count	17
File Format	PDF
ISSN	00393215
Journal	Studia Logica
Volume Number	101
Issue Number	5
e-ISSN	15728730
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-10-12
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bootstrap contraction Partial meet contraction Kernel contraction Perimaximal contraction Blockage contraction Multiple contraction Shielded contraction Outcome set Repertoire contraction Cognitive realism Belief change Preface paradox Logic Mathematical Logic and Foundations Computational Linguistics
Content Type	Text
Resource Type	Article
Subject	Logic History and Philosophy of Science

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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Maximal and perimaximal contraction

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On Revising Fuzzy Belief Bases

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