Ordinal Real Numbers 2. The arithmetization of order types.

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Kyritsis, Konstantinos E.

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Dr Christos Frangos,B.Sc.,M.Sc.,Ph.D.(London School of Economics)

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full paper

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1st international conference on quantitative, social, biomedical and economic issues 2017 - ICQSBEI 2017, Athens, Greece. At: Athens, Greece volume: proceedings: https://books.google.gr/books?id=BSUsDwAAQBAJ&pg

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Ordinal numbers, Linearly ordered commutative field

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Mathematics

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en

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University of Iannina, School of Economic and Administrative Sciences, Dept of Accouning-Finance

Table of contents

In this paper the main results are :Proofs that the ordinal real numbers are real closed fields and complete up-to-characteristic .They are also Dedekind ,and Archemedean complete fields .They are real formal power series fields and Pythagorean complete fields It is proved and discussed the K-fundamental arithmetisation and the binary arithmetisation of the order types .

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Bibliographic citation

Kyritsis, K., (2017). Ordinal Real Numbers 2. The arithmetization of order types. Athens 2017: Greek research issue for the study of quantative social biometical problems: Proccedings of the 1st international conference on quantitative, social, biomedical and economic issues ICQSBEI 2017, Athens, Greece, Christos Frangos. p.p. 237-249.

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Except where otherwised noted, this item's license is described as Attribution-NoDerivs 3.0 United States