Erkenntnis

, Volume 74, Issue 1, pp 53–67

Symmetry’s End?

Authors

    • School of MathematicsUniversity of Manchester
  • A. Vencovská
    • School of MathematicsUniversity of Manchester
Original Article

DOI: 10.1007/s10670-010-9251-1

Cite this article as:
Paris, J.B. & Vencovská, A. Erkenn (2011) 74: 53. doi:10.1007/s10670-010-9251-1
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Abstract

We examine the idea that similar problems should have similar solutions (to paraphrase van Fraassen’s slogan ‘Problems which are essentially the same must receive essentially the same solution’, see van Fraassen in Laws and symmetry, Oxford Univesity Press, Oxford, 1989, p. 236) in the context of symmetries of sentence algebras within Inductive Logic and conclude that by itself this is too generous a notion upon which to found the rational assignment of probabilities. We also argue that within our formulation of symmetry the paradoxes associated with the so called ‘Principle of Indifference’ collapse, but only to be replaced by genuinely irremediable examples of the same phenomenon.

Copyright information

© Springer Science+Business Media B.V. 2010