An Alternative to Real Number Axioms
In the present paper we consider one of the basic theorems of probability theory on real numbers. We prove that it is equivalent with the supremum axiom of real numbers.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-08-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2075-1680/7/3/59 |
| _version_ | 1798043977728917504 |
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| author | Igor Líška Beloslav Riečan Anna Tirpáková |
| author_facet | Igor Líška Beloslav Riečan Anna Tirpáková |
| author_sort | Igor Líška |
| collection | DOAJ |
| description | In the present paper we consider one of the basic theorems of probability theory on real numbers. We prove that it is equivalent with the supremum axiom of real numbers. |
| first_indexed | 2024-04-11T22:56:32Z |
| format | Article |
| id | doaj.art-ba8178ad7197448a9777af1726271cfa |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-04-11T22:56:32Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-ba8178ad7197448a9777af1726271cfa2022-12-22T03:58:24ZengMDPI AGAxioms2075-16802018-08-01735910.3390/axioms7030059axioms7030059An Alternative to Real Number AxiomsIgor Líška0Beloslav Riečan1Anna Tirpáková2Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, SlovakiaDepartment of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, SlovakiaDepartment of Mathematics, Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, Tr. A. Hlinku 1, 949 74 Nitra, SlovakiaIn the present paper we consider one of the basic theorems of probability theory on real numbers. We prove that it is equivalent with the supremum axiom of real numbers.http://www.mdpi.com/2075-1680/7/3/59supremum axiom of real numbersequivalence of axiomsdistribution function |
| spellingShingle | Igor Líška Beloslav Riečan Anna Tirpáková An Alternative to Real Number Axioms Axioms supremum axiom of real numbers equivalence of axioms distribution function |
| title | An Alternative to Real Number Axioms |
| title_full | An Alternative to Real Number Axioms |
| title_fullStr | An Alternative to Real Number Axioms |
| title_full_unstemmed | An Alternative to Real Number Axioms |
| title_short | An Alternative to Real Number Axioms |
| title_sort | alternative to real number axioms |
| topic | supremum axiom of real numbers equivalence of axioms distribution function |
| url | http://www.mdpi.com/2075-1680/7/3/59 |
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