{"title":"有限概率一致性的有序可信度对比语义","authors":"Paul Snow","doi":"10.1016/j.jal.2016.11.029","DOIUrl":null,"url":null,"abstract":"<div><p>De Finetti's 1949 ordinal probability conjecture sparked enduring interest in intuitively meaningful necessary and sufficient conditions for orderings of finite propositional domains to agree with probability distributions. This paper motivates probabilistic ordering from subjective estimates of credibility contrasts revealed when ordered propositions are not monotonically related (e.g., <em>A</em> or <span><math><mi>B</mi><mo>></mo><mi>C</mi></math></span> or <em>D</em>, but <span><math><mi>D</mi><mo>></mo><mi>B</mi></math></span>) and when a portfolio of prospects is accepted as preferable to alternatives despite not dominating them. The estimated contrast primitive offers a gambling-free, psychologically grounded foundation for treating individual instances and multisets of propositions as credally interchangeable with disjunctions and multisets of their constituent atomic propositions.</p></div>","PeriodicalId":54881,"journal":{"name":"Journal of Applied Logic","volume":"22 ","pages":"Pages 14-27"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jal.2016.11.029","citationCount":"1","resultStr":"{\"title\":\"An ordered credibility contrast semantics for finite probability agreement\",\"authors\":\"Paul Snow\",\"doi\":\"10.1016/j.jal.2016.11.029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>De Finetti's 1949 ordinal probability conjecture sparked enduring interest in intuitively meaningful necessary and sufficient conditions for orderings of finite propositional domains to agree with probability distributions. This paper motivates probabilistic ordering from subjective estimates of credibility contrasts revealed when ordered propositions are not monotonically related (e.g., <em>A</em> or <span><math><mi>B</mi><mo>></mo><mi>C</mi></math></span> or <em>D</em>, but <span><math><mi>D</mi><mo>></mo><mi>B</mi></math></span>) and when a portfolio of prospects is accepted as preferable to alternatives despite not dominating them. The estimated contrast primitive offers a gambling-free, psychologically grounded foundation for treating individual instances and multisets of propositions as credally interchangeable with disjunctions and multisets of their constituent atomic propositions.</p></div>\",\"PeriodicalId\":54881,\"journal\":{\"name\":\"Journal of Applied Logic\",\"volume\":\"22 \",\"pages\":\"Pages 14-27\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jal.2016.11.029\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1570868316300866\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Logic","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1570868316300866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
摘要
De Finetti 1949年的序数概率猜想激发了人们对有限命题域的排序符合概率分布的直观意义的充分必要条件的持久兴趣。当有序命题不是单调相关时(例如,A或B>C或D,但D>B),以及当前景组合被接受为优于替代方案时,本文激发了对可信度对比的主观估计的概率排序。估计对比原语为将个体实例和多组命题与它们组成的原子命题的断续和多组命题在信用上可互换提供了一个无赌博的、基于心理的基础。
An ordered credibility contrast semantics for finite probability agreement
De Finetti's 1949 ordinal probability conjecture sparked enduring interest in intuitively meaningful necessary and sufficient conditions for orderings of finite propositional domains to agree with probability distributions. This paper motivates probabilistic ordering from subjective estimates of credibility contrasts revealed when ordered propositions are not monotonically related (e.g., A or or D, but ) and when a portfolio of prospects is accepted as preferable to alternatives despite not dominating them. The estimated contrast primitive offers a gambling-free, psychologically grounded foundation for treating individual instances and multisets of propositions as credally interchangeable with disjunctions and multisets of their constituent atomic propositions.