{"title":"Sufficient Conditions for Counterfactual Transitivity and Antecedent Strengthening","authors":"T. Haze","doi":"10.5406/21521123.60.3.02","DOIUrl":null,"url":null,"abstract":"\n This paper is about two controversial inference-patterns involving counterfactual or subjunctive conditionals. Given a plausible assumption about the truth-conditions of counterfactuals, it is shown that one can't go wrong in applying hypothetical syllogism (i.e., transitivity) so long as the set of worlds relevant for the conclusion is a subset of the sets of worlds relevant for the premises. It is also shown that one can't go wrong in applying antecedent strengthening so long as the set of worlds relevant for the conclusion is a subset of that for the premise. These results are then adapted to Lewis's theory of counterfactuals.","PeriodicalId":47459,"journal":{"name":"AMERICAN PHILOSOPHICAL QUARTERLY","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"AMERICAN PHILOSOPHICAL QUARTERLY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5406/21521123.60.3.02","RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper is about two controversial inference-patterns involving counterfactual or subjunctive conditionals. Given a plausible assumption about the truth-conditions of counterfactuals, it is shown that one can't go wrong in applying hypothetical syllogism (i.e., transitivity) so long as the set of worlds relevant for the conclusion is a subset of the sets of worlds relevant for the premises. It is also shown that one can't go wrong in applying antecedent strengthening so long as the set of worlds relevant for the conclusion is a subset of that for the premise. These results are then adapted to Lewis's theory of counterfactuals.
期刊介绍：
Since its inauguration in 1964, the American Philosophical Quarterly (APQ) has established itself as one of the principal English vehicles for the publication of scholarly work in philosophy. The whole of each issue—printed in a large-page, double-column format—is given to substantial articles; from time to time there are also "state of the art" surveys of recent work on particular topics. The editorial policy is to publish work of high quality, regardless of the school of thought from which it derives.
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