On the Theory of the Varieties Cantors Many

F. F. Mende

On the Theory of the Varieties Cantors Many

F. F. Mende * § Fedor F. Mende

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National Academy of Sciences of Ukraine

On the Theory of the Varieties Cantors Many

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Abstract

Theory of sets (varieties) this one of the divisions of mathematics. In it they are studied the general properties sets are determined properties and characteristics, that possess what that general by property. Georg Cantor is considered the father of theory rightfully, which helped Richard Dedikind. The author of theory proposed the new concept of understanding nature of infinity, but the substantiation of theory itself is not entirely correct, which gave birth to logical contradictions both in theory itself and in those following, on its osnove. Iznachalnaya form of theory was called subsequently name naive set theory. In the indicated in the bibliography monograph daN the thorough analysis of set theory. In its time set theory it underwent rigid criticism from the side the well-known mathematicians: Henri Poincare, Luitzen Weyl and Herman Weyl and even associate of Cantor Richard Dedikind . They asserted that to Cantor all put outting themselves of mathematics, considered urgent infinity not scientific concept and this was error. Scientific disputes apropos of naive set theory it does not cease up to now. In the article possible inaccuracies and even errors in the theory of Cantor’s varieties are examined.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

F. F. Mende. 2020. "On the Theory of the Varieties Cantors Many". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F3).

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GJSFR Volume 20 Issue F3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification

GJSFR-F Classification MSC 2010: 00A69

Submission ReceivedFebruary 3, 2020
Peer Review Double Blind
Handling Editor
Accepted March 1, 2020
Published March 13, 2020

Version of record

v1.2

Issue date

May 5, 2020

Language

English

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