Journal: Kybernetes

Volume 37, Issue 3/4

387 -- 423Yi Lin, Wujia Zhu, Ningsheng Gong, Guoping Du. Systemic yoyo structure in human thoughts and the fourth crisis in mathematics
424 -- 432Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du. Descriptive definitions of potential and actual infinities
433 -- 437Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du. Wide-range co-existence of potential and actual infinities in modern mathematics
438 -- 445Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du. Modern system of mathematics and a pair of hidden contradictions in its foundation
446 -- 452Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. The inconsistency of countable infinite sets
453 -- 457Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. Inconsistency of uncountable infinite sets under ZFC framework
458 -- 464Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. Modern system of mathematics and special Cauchy theater in its theoretical foundation
465 -- 468Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. Modern system of mathematics and general Cauchy theater in its theoretical foundation
469 -- 473Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du. Cauchy theater phenomenon in diagonal method and test principle of finite positional differences
474 -- 481Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du. New Berkeley paradox in the theory of limits
482 -- 488Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. The inconsistency of the natural number system
489 -- 493Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. Mathematical system of potential infinities (I) - preparation
494 -- 504Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. Mathematical system of potential infinities (II) - formal systems of logical basis
505 -- 515Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. Mathematical system of potential infinities (III) - meta theory of logical basis
516 -- 525Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong. Mathematical system of potential infinities (IV) - set theoretic foundation
526 -- 533Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du. Problem of infinity between predicates and infinite sets
534 -- 542Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du. Intension and structure of actually infinite, rigid sets
543 -- 549B. H. Rudall, C. J. H. Mann. The challenges of tracking and protecting data
550 -- 553Alex M. Andrew. Dealing with spam: more on climate change