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A Logical Framework for Graded Predicates
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SYSNO ASEP 0477854 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title A Logical Framework for Graded Predicates Author(s) Cintula, Petr (UIVT-O) RID, ORCID, SAI
Noguera, Carles (UTIA-B) RID, ORCID
Smith, N.J.J. (AU)Source Title Logic, Rationality, and Interaction. - Berlin : Springer, 2017 / Baltag A. ; Yamada T. ; Seligman J. - ISSN 0302-9743 - ISBN 978-3-662-55664-1 Pages s. 3-16 Number of pages 14 s. Publication form Print - P Action LORI 2017. International Workshop on Logic, Rationality, and Interaction /6./ Event date 11.09.2017 - 14.09.2017 VEvent location Sapporo Country JP - Japan Event type WRD Language eng - English Country DE - Germany Keywords graded predicates ; vagueness ; mathematical fuzzy logic Subject RIV BA - General Mathematics OECD category Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8) Subject RIV - cooperation Institute of Information Theory and Automation - General Mathematics R&D Projects GA17-04630S GA ČR - Czech Science Foundation (CSF) Institutional support UIVT-O - RVO:67985807 ; UTIA-B - RVO:67985556 UT WOS 000576961600001 EID SCOPUS 85029431866 DOI 10.1007/978-3-662-55665-8_1 Annotation In this position paper we present a logical framework for modelling reasoning with graded predicates. We distinguish several types of graded predicates and discuss their ubiquity in rational interaction and the logical challenges they pose. We present mathematical fuzzy logic as a set of logical tools that can be used to model reasoning with graded predicates, and discuss a philosophical account of vagueness that makes use of these tools. This approach is then generalized to other kinds of graded predicates. Finally, we propose a general research program towards a logic-based account of reasoning with graded predicates. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2018
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