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Journal Articles

Mathematical system of potential infinities (IV) – set theoretic foundation

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 516–525.
https://doi.org/10.1108/03684920810863507
Published: 11 April 2008
View article titled, Mathematical system of potential infinities (IV) – set theoretic foundation
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Journal Articles

Mathematical system of potential infinities (II) – formal systems of logical basis

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 494–504.
https://doi.org/10.1108/03684920810863480
Published: 11 April 2008
View article titled, Mathematical system of potential infinities (II) – formal systems of logical basis
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Journal Articles

Descriptive definitions of potential and actual infinities

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Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 424–432.
https://doi.org/10.1108/03684920810863372
Published: 11 April 2008
View article titled, Descriptive definitions of potential and actual infinities
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Journal Articles

Wide‐range co‐existence of potential and actual infinities in modern mathematics

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Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 433–437.
https://doi.org/10.1108/03684920810863381
Published: 11 April 2008
View article titled, Wide‐range co‐existence of potential and actual infinities in modern mathematics
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Journal Articles

Problem of infinity between predicates and infinite sets

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Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 526–533.
https://doi.org/10.1108/03684920810863516
Published: 11 April 2008
View article titled, Problem of infinity between predicates and infinite sets
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Journal Articles

Modern system of mathematics and special Cauchy theater in its theoretical foundation

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 458–464.
https://doi.org/10.1108/03684920810863426
Published: 11 April 2008
View article titled, Modern system of mathematics and special Cauchy theater in its theoretical foundation
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Journal Articles

Cauchy theater phenomenon in diagonal method and test principle of finite positional differences

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Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 469–473.
https://doi.org/10.1108/03684920810863444
Published: 11 April 2008
View article titled, Cauchy theater phenomenon in diagonal method and test principle of finite positional differences
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Journal Articles

The inconsistency of the natural number system

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 482–488.
https://doi.org/10.1108/03684920810863462
Published: 11 April 2008
View article titled, The inconsistency of the natural number system
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Journal Articles

Modern system of mathematics and general Cauchy theater in its theoretical foundation

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 465–468.
https://doi.org/10.1108/03684920810863435
Published: 11 April 2008
View article titled, Modern system of mathematics and general Cauchy theater in its theoretical foundation
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Journal Articles

Inconsistency of uncountable infinite sets under ZFC framework

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 453–457.
https://doi.org/10.1108/03684920810863417
Published: 11 April 2008
View article titled, Inconsistency of uncountable infinite sets under ZFC framework
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Journal Articles

Mathematical system of potential infinities (I) – preparation

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 489–493.
https://doi.org/10.1108/03684920810863471
Published: 11 April 2008
View article titled, Mathematical system of potential infinities (I) – preparation
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Journal Articles

The inconsistency of countable infinite sets

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 446–452.
https://doi.org/10.1108/03684920810863408
Published: 11 April 2008
View article titled, The inconsistency of countable infinite sets
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Journal Articles

Mathematical system of potential infinities (III) – meta theory of logical basis

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Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 505–515.
https://doi.org/10.1108/03684920810863499
Published: 11 April 2008
View article titled, Mathematical system of potential infinities (III) – meta theory of logical basis
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Journal Articles

Modern system of mathematics and a pair of hidden contradictions in its foundation

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Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 438–445.
https://doi.org/10.1108/03684920810863390
Published: 11 April 2008
View article titled, Modern system of mathematics and a pair of hidden contradictions in its foundation
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Journal Articles

Systemic yoyo structure in human thoughts and the fourth crisis in mathematics

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Yi Lin, Wujia Zhu, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 387–423.
https://doi.org/10.1108/03684920810863363
Published: 11 April 2008
View article titled, Systemic yoyo structure in human thoughts and the fourth crisis in mathematics
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Journal Articles

Intension and structure of actually infinite, rigid sets

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Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 534–542.
https://doi.org/10.1108/03684920810863525
Published: 11 April 2008
View article titled, Intension and structure of actually infinite, rigid sets
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Journal Articles

New Berkeley paradox in the theory of limits

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Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du
Journal: Kybernetes
Kybernetes (2008) 37 (3-4): 474–481.
https://doi.org/10.1108/03684920810863453
Published: 11 April 2008
View article titled, New Berkeley paradox in the theory of limits
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