Probability, Regularity, and Cardinality

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 c...

Full description

Saved in:
Bibliographic Details
Published in:Philosophy of science 2013-04, Vol.80 (2), p.231-240
Main Author: Pruss, Alexander R.
Format: Article
Language:English
Subjects:
Algebra
Axiom of choice
Axiomatization
Axioms
Cardinality
Concretes
Epistemology. Philosophy of science. Theory of knowledge
Mathematical theorems
One to one functions
Partially ordered sets
Philosophy
Philosophy of science
Probability distribution
Probability theory
Social theory
Spacetime
Theses
Value theory
Zero
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-8248
1539-767X
DOI:10.1086/670299