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.
Cintula, P., Noguera, C., Smith, N.J.J. (2017). A logical framework for graded predicates. In Logic, Rationality, and Interaction. LORI 2017 (pp.3-16). Berlin : Springer Verlag [10.1007/978-3-662-55665-8_1].
A logical framework for graded predicates
Noguera C.;
2017-01-01
Abstract
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.
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https://hdl.handle.net/11365/1200682