{"title":"A Three-Valued Approach to the Master Argument","authors":"S. Akama, Y. Nagata","doi":"10.1109/ISMVL.2011.8","DOIUrl":null,"url":null,"abstract":"The Master Argument due to Diodorus Cronos claims that nothing is possible that neither is true nor will be true and that therefore every (present) possibility must be realized at a present or future time. Unfortunately, it leads to logical determinism. In this paper, based on Prior's insight, a three-valued approach to the Master Argument is presented by developing a three-valued modal tense logic with a Kripke semantics. We also discuss philosophical and logical issues in connection with other approaches.","PeriodicalId":234611,"journal":{"name":"2011 41st IEEE International Symposium on Multiple-Valued Logic","volume":"106 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 41st IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2011.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The Master Argument due to Diodorus Cronos claims that nothing is possible that neither is true nor will be true and that therefore every (present) possibility must be realized at a present or future time. Unfortunately, it leads to logical determinism. In this paper, based on Prior's insight, a three-valued approach to the Master Argument is presented by developing a three-valued modal tense logic with a Kripke semantics. We also discuss philosophical and logical issues in connection with other approaches.
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