Advertisement

Foundations of Physics

, Volume 5, Issue 1, pp 89–91 | Cite as

A problem posed

  • Kenneth S. Friedman
Article

Abstract

E. T. Jaynes' resolution of Bertrand's paradox in terms of invariance principles is criticized. An experimental setup is considered which generates general solutions to Bertrand's problem by rotating a line around a point a distancer+d from a circle of radiusr. The general solution obtained is neither translationally nor scale invariant, but depends on the value ofr/d. Only in the limitr/d » 0, when the line is just translating across the circle, is the distribution translationally invariant and scale invariant. In this limiting case the distribution found is just that obtained by Jaynes.

Keywords

General Solution Invariance Principle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. 1.
    E. T. Jaynes,Found. Phys. 3, 477 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • Kenneth S. Friedman
    • 1
  1. 1.Department of PhilosophyState University of New York at OswegoOswego

Personalised recommendations