Foundations of Physics 3 (4):477-493 (1973)
Many statistical problems, including some of the most important for physical applications, have long been regarded as underdetermined from the standpoint of a strict frequency definition of probability; yet they may appear wellposed or even overdetermined by the principles of maximum entropy and transformation groups. Furthermore, the distributions found by these methods turn out to have a definite frequency correspondence; the distribution obtained by invariance under a transformation group is by far the most likely to be observed experimentally, in the sense that it requires by far the least “skill.” These properties are illustrated by analyzing the famous Bertrand paradox. On the viewpoint advocated here, Bertrand's problem turns out to be well posed after all, and the unique solution has been verified experimentally. We conclude that probability theory has a wider range of useful applications than would be supposed from the standpoint of the usual frequency definitions
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
Éléments de la Théorie des Probabilités.Em Borel - 1909 - Revue de Métaphysique et de Morale 17 (6):7-7.
Citations of this work BETA
Bayesianism II: Applications and Criticisms.Kenny Easwaran - 2011 - Philosophy Compass 6 (5):321-332.
A Higher-Order Approach to Disagreement.Mattias Skipper Rasmussen, Asbjørn Steglich-Petersen & Jens Christian Bjerring - forthcoming - Episteme:1-21.
Intersubjective Corroboration.Darrell P. Rowbottom - 2008 - Studies in History and Philosophy of Science Part A 39 (1):124-132.
Similar books and articles
Characterizing the Join-Irreducible Medvedev Degrees.Paul Shafer - 2010 - Notre Dame Journal of Formal Logic 52 (1):21-38.
Bertrand's Paradox and the Principle of Indifference.Nicholas Shackel - 2007 - Philosophy of Science 74 (2):150-175.
Consciousness: The Transcendalist Manifesto.Mark Rowlands - 2003 - Phenomenology and the Cognitive Sciences 2 (3):205-21.
A Possible Solution to the Principal-Agent Problem Posed by the Contemporarycorporate CEO.Robert H. Bruhl - 2003 - Journal of Business Ethics 48 (4):401-402.
Representation: The Problem for Structuralism.Bas C. van Fraassen - 2006 - Philosophy of Science 73 (5):536-547.
Azande Witchcraft, Epistemological Relativism and the Problem of the Criterion.Howard Sankey - manuscript
Divine Omniscience, Timelessness, and the Power to Do Otherwise.Hugh Rice - 2006 - Religious Studies 42 (2):123-139.
Theory Choice and Social Choice: Kuhn Versus Arrow.S. Okasha - 2011 - Mind 120 (477):83-115.
Added to index2011-02-11
Total downloads94 ( #53,159 of 2,153,589 )
Recent downloads (6 months)4 ( #184,516 of 2,153,589 )
How can I increase my downloads?