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Luck and Proportions of Infinite Sets.

Authors :
Clarke, Roger
Source :
Erkenntnis; Oct2024, Vol. 89 Issue 7, p2947-2949, 3p
Publication Year :
2024

Abstract

This article explores the concept of luck and the proportions of infinite sets. The author challenges the idea that luck can be measured proportionally, arguing that it is mathematically incorrect to claim that there are more worlds where a proposition is true than false. The article introduces measure theory, a branch of mathematics that compares the sizes of uncountable sets, and highlights its connection to probability theory. It explains how probability measures can be used to determine the likelihood of certain outcomes, such as the probability of Smith winning or losing. The probabilities presented are based on mathematical calculations and should not be interpreted as subjective judgments. [Extracted from the article]

Details

Language :
English
ISSN :
01650106
Volume :
89
Issue :
7
Database :
Complementary Index
Journal :
Erkenntnis
Publication Type :
Academic Journal
Accession number :
179636405
Full Text :
https://doi.org/10.1007/s10670-022-00643-6