Back to Search
Start Over
Luck and Proportions of Infinite Sets.
- 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]
- Subjects :
- REAL numbers
ANALYTIC geometry
LEBESGUE measure
MEASURE theory
PROBABILITY measures
Subjects
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