{ "id": "1810.03437", "version": "v1", "published": "2018-09-18T03:19:38.000Z", "updated": "2018-09-18T03:19:38.000Z", "title": "Modus Ponens And Modus Tollens In Linguistic Truth-Valued Propositional Logic", "authors": [ "Bithi Chattaraj", "Sumita Basu" ], "categories": [ "math.LO" ], "abstract": "Truth values of Modus Ponens and Modus Tollens rules for propositions having linguistic truth value that may be represented by lattice(Fig1, Fig2) are computed in this paper. The results show that the truth values are not always absolutely true but have graded truth values in some cases.", "revisions": [ { "version": "v1", "updated": "2018-09-18T03:19:38.000Z" } ], "analyses": { "keywords": [ "linguistic truth-valued propositional logic", "modus ponens", "modus tollens rules", "linguistic truth value", "graded truth values" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }