Toward an epistemic-logical theory of categorization
Willem Conradie (University of Johannesburg)
Sabine Frittella (Université d'Orléans)
Alessandra Palmigiano (TU Delft - Technology, Policy and Management, University of Johannesburg)
Michele Piazzai (TU Delft - Technology, Policy and Management)
Apostolos Tzimoulis (TU Delft - Technology, Policy and Management)
Nachoem M. Wijnberg (Universiteit van Amsterdam, University of Johannesburg)
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Abstract
Categorization systems are widely studied in psychology, sociology, and organization theory as information-structuring devices which are critical to decision-making processes. In the present paper, we introduce a sound and complete epistemic logic of categories and agents' categorical perception. The Kripke-style semantics of this logic is given in terms of data structures based on two domains: one domain representing objects (e.g. market products) and one domain representing the features of the objects which are relevant to the agents' decision-making. We use this framework to discuss and propose logic-based formalizations of some core concepts from psychological, sociological, and organizational research in categorization theory.
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