Revisiting McGee's Probabilistic Analysis of Conditionals

被引:6
作者
Cantwell, John [1 ]
机构
[1] KTH Royal Inst Technol, Div Philosophy, S-10044 Stockholm, Sweden
关键词
Probability of conditionals; Compounds of conditionals; Sequence semantics; COUNTEREXAMPLE;
D O I
10.1007/s10992-022-09657-5
中图分类号
B81 [逻辑学(论理学)];
学科分类号
010104 ; 010105 ;
摘要
This paper calls for a re-appraisal of McGee's analysis of the semantics, logic and probabilities of indicative conditionals presented in his 1989 paper Conditional probabilities and compounds of conditionals. The probabilistic measures introduced by McGee are given a new axiomatisation-built on the principle that the antecedent of a conditional is probabilistically independent of the conditional-and a more transparent method of constructing such measures is provided. McGee's Dutch book argument is restructured to more clearly reveal that it introduces a novel contribution to the epistemology of semantic indeterminacy, and shows that its more controversial implications are unavoidable if we want to maintain the Ramsey Test along with the standard laws of probability. Importantly, it is shown that the counterexamples that have been levelled at McGee's analysis-generating a rather wide consensus that it yields 'unintuitive' or 'wrong' probabilities for compounds -fail to strike at their intended target; for to honour the intuitions of the counterexamples one must either give up the Ramsey Test or the standard laws of probability. It will be argued that we need to give up neither if we take the counterexamples as further evidence that the indicative conditional sometimes allows for a non-epistemic 'causal' interpretation alongside its usual epistemic interpretation.
引用
收藏
页码:973 / 1017
页数:45
相关论文
共 38 条
  • [1] Radical probabilism and Bayesian conditioning
    Bradley, R
    [J]. PHILOSOPHY OF SCIENCE, 2005, 72 (02) : 342 - 364
  • [2] Multidimensional Possible-World Semantics for Conditionals
    Bradley, Richard
    [J]. PHILOSOPHICAL REVIEW, 2012, 121 (04) : 539 - 571
  • [3] AN EXPRESSIVIST ANALYSIS OF THE INDICATIVE CONDITIONAL WITH A RESTRICTOR SEMANTICS
    Cantwell, John
    [J]. REVIEW OF SYMBOLIC LOGIC, 2021, 14 (02) : 487 - 530
  • [4] The Adams family
    Douven, Igor
    Verbrugge, Sara
    [J]. COGNITION, 2010, 117 (03) : 302 - 318
  • [5] EDGINGTON D, 1991, ARIST SOC P, V65, P185
  • [6] Evans J.St. B. T., 2003, Thinking: Psychological perspectives on reasoning, judgement and decision making, P3
  • [7] GIBBARD AF., 1981, IFS, P211
  • [8] Goldstein S., 2021, PROBABILITY EP UNPUB
  • [9] HAJEK A., 1994, PROBABILITY CONDITIO, P75
  • [10] Jeffrey R., 1994, PROBABILITY CONDITIO, P31