- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Probability, Hyperreals, Asymptotic Density, and God’s Lottery
Abstract
Consider a subset, S, of the positive integers. What is the probability of selecting a number in S, assuming that each positive integer has an equal chance of selection? The purpose of this short paper is to provide an answer to this question. I also suggest that the answer allows us to determine the relative sizes of two subsets of the positive integers.Author's Profile
Other Versions
No versions found
Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Only published works are available at libraries.
My notes
Similar books and articles
Answer to a problem raised by J. Robinson: The arithmetic of positive or negative integers is definable from successor and divisibility.Denis Richard - 1985 - Journal of Symbolic Logic 50 (4):927-935.
Underdetermination of Imprecise Probabilities.Joshua Thong - 2022 - Dissertation, Australian National University
The p-Frobenius number for the triple of certain quadratic numbers.Takao Komatsu & Fatih Yilmaz - forthcoming - Logic Journal of the IGPL.
A rudimentary definition of addition.R. W. Ritchie - 1965 - Journal of Symbolic Logic 30 (3):350-354.
Countable additivity and the de finetti lottery.Paul Bartha - 2004 - British Journal for the Philosophy of Science 55 (2):301-321.
On a problem of Foreman and Magidor.Arthur W. Apter - 2005 - Archive for Mathematical Logic 44 (4):493-498.
Number and natural language.Stephen Laurence & Eric Margolis - 2005 - In Peter Carruthers, Stephen Laurence & Stephen P. Stich, The Innate Mind: Structure and Contents. New York, US: Oxford University Press on Demand. pp. 1--216.
Analytics
Added to PP
2010-09-02
Downloads
90 (#240,824)
6 months
4 (#864,415)
2010-09-02
Downloads
90 (#240,824)
6 months
4 (#864,415)
Historical graph of downloads
Author's Profile
Citations of this work
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-8567d8d854-kjfxj dc2