Formal consistency of the Principal Principle revisited

被引:0
作者
Wronski, Leszek [1 ]
Gyenis, Zalan [1 ]
Cocchiaro, Mariangela Zoe [1 ]
机构
[1] Jagiellonian Univ, Krakow, Poland
关键词
Principal principle; Chance; Credence; Admissibility; Consistency; Principle of indifference; 2; MISTAKES; PROBABILITY; CREDENCE; GUIDE;
D O I
10.1007/s13194-025-00636-6
中图分类号
N09 [自然科学史]; B [哲学、宗教];
学科分类号
01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;
摘要
We rigorously describe the relation in which a credence function should stand to a set of chance functions in order for these to be compatible in the way mandated by the Principal Principle. This resolves an apparent contradiction in the literature, by means of providing a formal way of combining credences with modest chance functions so that the latter indeed serve as guides for the former. Along the way we note some problematic consequences of taking admissibility to imply requirements involving probabilistic independence. We also argue, contra (Hawthorne et al., The British Journal for the Philosophy of Science,68(1), 123-131 2017), that the Principal Principle does not imply the Principle of Indifference.
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页数:34
相关论文
共 37 条
[1]   On the Formal Consistency of the Principal Principle [J].
Bana, Gergei .
PHILOSOPHY OF SCIENCE, 2016, 83 (05) :988-1001
[2]  
Burris S., 1981, A Course in Universal Algebra, DOI DOI 10.1007/978-1-4613-8130-3
[3]  
Carroll J.W., 2020, The Stanford Encyclopedia of Philosophy
[4]   UPDATING SUBJECTIVE-PROBABILITY [J].
DIACONIS, P ;
ZABELL, SL .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1982, 77 (380) :822-830
[5]  
Dziurosz-Serafinowicz P., 2016, The double life of probability. A philosophical study of chance and credence
[6]   INDEPENDENT EVENTS IN A DISCRETE UNIFORM PROBABILITY SPACE [J].
EISENBERG, B ;
GHOSH, BK .
AMERICAN STATISTICIAN, 1987, 41 (01) :52-56
[7]  
Gaifman Haim., 1986, Theoretical aspects of reasoning about knowledge, P275
[8]  
Gyenis B, 2017, EUR STUD PHILOS SCI, V6, P35, DOI 10.1007/978-3-319-55486-0_2
[9]   Two mistakes about credence and chance [J].
Hall, N .
AUSTRALASIAN JOURNAL OF PHILOSOPHY, 2004, 82 (01) :93-111
[10]   CORRECTING THE GUIDE TO OBJECTIVE CHANCE [J].
HALL, N .
MIND, 1994, 103 (412) :505-517