{ "id": "1908.04816", "version": "v1", "published": "2019-08-13T18:42:05.000Z", "updated": "2019-08-13T18:42:05.000Z", "title": "The logic of vague categories", "authors": [ "Willem Conradie", "Alessandra Palmigiano", "Claudette Robinson", "Apostolos Tzimoulis", "Nachoem M. Wijnberg" ], "comment": "24 pages", "categories": [ "math.LO" ], "abstract": "We introduce a complete many-valued semantics for basic normal lattice-based modal logic. This relational semantics is grounded on many-valued formal contexts from Formal Concept Analysis. We discuss an interpretation and possible applications of this logical framework for categorization theory to the formal analysis of multi-market competition.", "revisions": [ { "version": "v1", "updated": "2019-08-13T18:42:05.000Z" } ], "analyses": { "subjects": [ "03B45", "03B50", "03B52" ], "keywords": [ "vague categories", "basic normal lattice-based modal logic", "formal concept analysis", "relational semantics", "many-valued formal contexts" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }