The philosophical significance of Cox's theorem

Colyvan, M. (2004) The philosophical significance of Cox's theorem. International Journal of Approximate Reasoning, 37 1: 71-85. doi:10.1016/j.ijar.2003.11.001

Author Colyvan, M.
Title The philosophical significance of Cox's theorem
Journal name International Journal of Approximate Reasoning   Check publisher's open access policy
ISSN 0888-613X
Publication date 2004
Sub-type Article (original research)
DOI 10.1016/j.ijar.2003.11.001
Volume 37
Issue 1
Start page 71
End page 85
Total pages 15
Place of publication United States
Publisher Elsevier
Collection year 2004
Language eng
Subject C1
440106 Logic
230201 Probability Theory
780199 Other
0103 Numerical and Computational Mathematics
0104 Statistics
0801 Artificial Intelligence and Image Processing
Abstract Cox's theorem states that, under certain assumptions, any measure of belief is isomorphic to a probability measure. This theorem, although intended as a justification of the subjectivist interpretation of probability theory, is sometimes presented as an argument for more controversial theses. Of particular interest is the thesis that the only coherent means of representing uncertainty is via the probability calculus. In this paper I examine the logical assumptions of Cox's theorem and I show how these impinge on the philosophical conclusions thought to be supported by the theorem. I show that the more controversial thesis is not supported by Cox's theorem. (C) 2003 Elsevier Inc. All rights reserved.
Keyword Computer Science, Artificial Intelligence
Non-classical Logic
Excluded Middle
Plausible Inference
Sorites Paradox
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2005 Higher Education Research Data Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 10 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Wed, 15 Aug 2007, 04:19:33 EST