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1. Alexander Zenkin, FATAL MISTAKE OF G.CANTOR'S THEORY. - "Voprosy Filosolii" ("Problems of Philosophy"), ), 2000, No. 2 (February), 165-168. (link) (in Engish)
The journal is one of the most professional ones on Philosophy of Science in Russia and the World. Here, main G.Cantor's mistakes are discribed in popular form. It is proved that the main G.Cantor's Theorem as to the existence of different infinities is wrong. So, all modern meta-mathematics which is based on that Cantor Theorem is incorrect too. Also, all modern large computer proving systems are based on a doubtful basis. It is a fact of not pure scientific interest.
2. Andrey Vaganov (interview with A.Zenkin) MULTIMEDIA VERSION OF ROCK-GRAPHICS ("Nezavisimaya Gazenta" ("Independent Newspaper"), the "NG-SCIENCE"-supplement, 22 March, 2000): (link) (in Russian) The "NG-SCIENCE"-supplement is one of the most serious and wide-readable ones in Russia. Here, a description of the CCG-approach and its usage in creative human-being's activities is given.
3. Alexander Zenkin, SCIENTIFIC COUNTER-REVOLUTION IN MATHEMATICS. - "Independent newspaper" ("Nezavisimaya Gazeta"), 19 July, 2000. Supplement "NG-SCIENCE". (link) (in English) The paper is my comments to the known paper "Anti-Scientific Revolution in Mathematics" (see "Notices of the AMS" (1997), "Notices of the Russian Academy of Sciences" (1999), etc.) of Vladimir Arnold who is now the Vice-President of the International Mathematical Union, the academician of the RAS, world-wide known mathematician, etc. Here, main reasons of the Third Great Crisis in foundations of mathematics and a role of G.Cantor's theory in that Crisis are discussed in popular forms. It is shown that all G.Cantor's Theory is wrong, and all moden meta-mathematics, set theory, mathematical logic, etc. are needed in an essential reconstruction ("perestroika"). Remark that these sciences are today the main basis of the computer science as a whole.
4. Alexander Zenkin, NEW APPROACH TO PARADOXES PROBLEM ANALYSIS. - "Voprosy Filosofii" ("Problems of Philosophy"), 2000, no. 10 (October), pp. 81-93. (link) .(Annotation) Unfortumantely, there is only russian version of that paper now. The complete solution of the famous paradoxes problem (which generated the famous Third Crisis in foundations of mathematics and logic reasonings) is given in the paper. As is known, all modern meta-mathematics and mathematical logic arised due to attempts to solve the paradoxes problem and to save mathematics from contradictions and paradoxes. In particular, the complete solution of the famous Epimenid's "Liar" (which is so much liked by G.Soros) is given here. Now we know how to save all our science from all these contradictions and paradoxes. Some key moments of the problem solution are based on the VISAD CCG-system usage.
5. Alexander Zenkin, SUPER-INDUCTION METHOD: LOGICAL ACUPUNCTURE OF MATHEMATICAL INFINITY. - XX WORLD CONGRESS OF PHILOSOPHY. PAIDEIA Project ON-Line. (at the PAIDEIA-site) (link) Here, new type of logical reasonings and the new CCG-method for proving common mathematical statements are described. The main features of the method are also described in our White-Paper-1.
6. Alexander Zenkin, "COGNITIVE (SEMANTIC) VISUALIZATION OF THE FIRST D.HILBERT PROBLEM (CONTINUUM PROBLEM)" at the WEB-Sites of the"VISUALMATHEMATICS" e-JOURNAL: (link) Here, a new CCG-approach to the famous Continuum Problem analysis is given, and it is shown and proved that that Problem is a pseudo-scientific one of the modern meta-mathematics and of the modern non-standard analysis.