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Bertrand's paradox and the principle of indifference / Nicholas Shackel.

"Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand's chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such s...

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Bibliographic Details
Online Access: Full Text (via Taylor & Francis)
Main Author: Shackel, Nicholas, 1955- (Author)
Format: Electronic eBook
Language:English
Published: New York, NY : Routledge, 2024.
Series:Routledge studies in the philosophy of mathematics and physics.
Subjects:
Bertrand, Joseph, > 1822-1900.
Probabilities.
Paradox.
Logic, Symbolic and mathematical.
Table of Contents:
  • The principle of indifference
  • The principle of indifference for sets
  • Bertrand's paradoxes
  • The threat to the principle and four kinds of solution
  • The distinction strategy
  • The well-posing strategy
  • The irrelevance strategy
  • The maximum entropy principle
  • The universal average
  • Meta-indifference
  • Permissivism
  • Uniqueness a criterion of identity
  • Symmetry : the forlorn hope
  • Unearthing the root
  • Bertrand's temptations
  • Rational strength.

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