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Axioms 2018, 7(3), 59; https://doi.org/10.3390/axioms7030059

An Alternative to Real Number Axioms

1
Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia
2
Institute of Mathematics and Computer Science, Mathematical Institute Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
3
Department of Mathematics, Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, Tr. A. Hlinku 1, 949 74 Nitra, Slovakia
*
Author to whom correspondence should be addressed.
Received: 26 June 2018 / Revised: 9 August 2018 / Accepted: 18 August 2018 / Published: 21 August 2018
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Abstract

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. View Full-Text
Keywords: supremum axiom of real numbers; equivalence of axioms; distribution function supremum axiom of real numbers; equivalence of axioms; distribution function
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Líška, I.; Riečan, B.; Tirpáková, A. An Alternative to Real Number Axioms. Axioms 2018, 7, 59.

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