Probability, Regularity, and Cardinality

Author:

Pruss Alexander R.

Abstract

Regularity is the thesis that all contingent propositions should be assigned probabilities strictly between zero and one. I will prove on cardinality grounds that if the domain is large enough, a regular probability assignment is impossible, even if we expand the range of values that probabilities can take, including, for instance, hyperreal values, and significantly weaken the axioms of probability.

Publisher

Cambridge University Press (CUP)

Subject

History and Philosophy of Science,Philosophy,History

Reference18 articles.

1. Introduction to Axiomatic Set Theory

2. Coherence and the axioms of confirmation

3. Rosinger, Elemer E. 2007. “String Theory: A Mere Prelude to Non-Archimedean Space-Time Structures?” arXiv.org, Cornell University. arXiv:physics/0703154v1.

4. Fair bets and inductive probabilities

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