Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Açık Bilim Politikası
Açık Bilim Politikası
Frequently Asked Questions
Frequently Asked Questions
Browse
Browse
By Issue Date
By Issue Date
Authors
Authors
Titles
Titles
Subjects
Subjects
Communities & Collections
Communities & Collections
Popper's Axiomatic Probability System and the Value-Assignment Problem
Date
2018-12-01
Author
Demir, Mehmet Hilmi
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
1
views
0
downloads
In the standard theory of probability, developed by Kolmogorov, the concept of conditional probability is defined with what is known as the ratio formula: the probability of A given B is the ratio between the probability of A and B and the probability of B, i.e. P(AIB)=(P(AB))/(P(B)). Clearly, this ratio is not defined when the probability of the condition, P(B), is o. According to Popper, this problem, which is known as the zero-denominator problem, shows a serious conceptual shortcoming of the standard Kolmogorovian theory of probability. In order to overcome this shortcoming, Popper developed an alternative axiomatic theory of probability where conditional probability is taken as primitive. It should be noted that this axiomatic probability theory is different than and independent from Popper's philosophy of probability which is based on the propensity approach. Popper claims that his axiomatic theory is a better fit for the use of probability in the philosophy of science and statistics. Based on this claim, it is often stated that Popper's theory is conceptually superior to Kolmogorov's theory. The ultimate aim of this paper is to evaluate this claim by analyzing Popper's axiomatic theory within the context of the zero denominator problem.
Subject Keywords
Conditional probability
,
Popper
,
Kolmogorov
,
Hajek
,
Zero denominator problem
URI
https://hdl.handle.net/11511/55051
Journal
BEYTULHIKME-AN INTERNATIONAL JOURNAL OF PHILOSOPHY
Collections
Department of Philosophy, Article