{"title":"Fair Countable Lotteries and Reflection","authors":"Casper Storm Hansen","doi":"10.1007/s12136-021-00499-5","DOIUrl":null,"url":null,"abstract":"<div><p>The main conclusion is this conditional: If the principle of reflection is a valid constraint on rational credences, then it is not rational to have a uniform credence distribution on a countable outcome space. The argument is a variation on some arguments that are already in the literature, but with crucial differences. The conditional can be used for either a modus ponens or a modus tollens; some reasons for thinking that the former is most reasonable are given.</p></div>","PeriodicalId":44390,"journal":{"name":"Acta Analytica-International Periodical for Philosophy in the Analytical Tradition","volume":"37 4","pages":"595 - 610"},"PeriodicalIF":0.3000,"publicationDate":"2022-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Analytica-International Periodical for Philosophy in the Analytical Tradition","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s12136-021-00499-5","RegionNum":3,"RegionCategory":"文学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}
引用次数: 0
Abstract
The main conclusion is this conditional: If the principle of reflection is a valid constraint on rational credences, then it is not rational to have a uniform credence distribution on a countable outcome space. The argument is a variation on some arguments that are already in the literature, but with crucial differences. The conditional can be used for either a modus ponens or a modus tollens; some reasons for thinking that the former is most reasonable are given.
期刊介绍:
Acta Analytica is an international journal for philosophy in the analytical tradition covering a variety of philosophical topics including philosophical logic, metaphysics, epistemology, philosophy of science and philosophy of mind. Special attention is devoted to cognitive science. The journal aims to promote a rigorous, argument-based approach in philosophy. Acta Analytica is a peer reviewed journal, published quarterly, with authors from all over the world.