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Open Reading and Free Choice Permission : A Perspective in Substructural Logics

Title data

Roy, Olivier ; Dong, Huimin ; Gratzl, Norbert:
Open Reading and Free Choice Permission : A Perspective in Substructural Logics.
In: Liao, Beishui (ed.): Dynamics, Uncertainty and Reasoning. - Singapore : Springer , 2019 . - (Logic in Asia )
ISBN 978-981-13-7790-7

Project information

Project financing: Deutsche Forschungsgemeinschaft
RO O4548/4-1

Abstract in another language

This paper proposes a new solution to the well-known Free Choice Permission Paradoxes (Barker 2010; Hansson 2014), combining ideas from substructural logics and non-monotonic reasoning. Free choice permission is intuitively understood as “if it is permitted to do or then it is permitted to do and it is permitted to do.” Yet, one of its logically equivalent forms allows the following inference which seems unacceptable: if it is permitted to order a vegetarian lunch then it is permitted to order a vegetarian lunch and not pay for it (Hansson 2013). The challenge for a logic of free choice permission is to exclude such counterintuitive consequences while not giving up too much deductive power. We suggest that the right way to do so is using a family of substructural logics augmented with a principle borrowed from non-monotonic reasoning. This follows up on a proposal made in Anglberger et al. (2014).

Further data

Item Type: Article in a book
Refereed: Yes
Institutions of the University: Faculties > Faculty of Cultural Studies > Department of Philosophy
Faculties > Faculty of Cultural Studies > Department of Philosophy > Lehrstuhl Philosophie I
Faculties > Faculty of Cultural Studies > Department of Philosophy > Lehrstuhl Philosophie I > Chair Philosophy I - Univ.-Prof. Dr. Olivier Roy
Faculties
Faculties > Faculty of Cultural Studies
Result of work at the UBT: Yes
DDC Subjects: 100 Philosophy and psychology > 100 Philosophy
100 Philosophy and psychology > 120 Epistemology
100 Philosophy and psychology > 160 Logic
Date Deposited: 21 May 2019 06:12
Last Modified: 19 Jul 2019 11:07
URI: https://eref.uni-bayreuth.de/id/eprint/49016