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《Journal of Tianjin Vocational Institutes》 2008-03
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About the Cantor's Diagonal Argument's Limitations and the Base of Mathematics

SHEN Wei-guo(《District Heating》Eduitoral Department,Beijing 100026 China)  
Cantor's Diagonal Argument has a enigmatic premise.If it was changed,we can have a one-one correspondence between continum and natural number set.This conclusion is different from traditional ideas clearly.So relative independent characteristic of the continum hypothesis is on intevitable outcome.On the basis of it,The author presents clues to clarify this problems.
【CateGory Index】: O144
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【References】
Chinese Journal Full-text Database 1 Hits
1 SHEN Wei-guo(Modern Logic Research Institute of Northwestern Polytechnical University,Xian 710072 China);About the Proof of Continuum's Countability[J];Journal of Tianjin Vocational Institutes;2009-02
【Citations】
Chinese Journal Full-text Database 2 Hits
1 SHEN Wei-guo (The Editorial Department of “Area Heat Supply”,Beijing 100026 China);A Enigmatic Premise of Cantor's Diagonal Argument[J];Journal of Tianjin Adult Higher Learning;2005-03
2 SHEN Wei-guo(Modern Logic Research Institute of Renmin University of China,Beijing 100080 China);Discuss about the Countability of Set of Real Numbers and the Relevant Problems[J];Journal of Tianjin Vocational Institutes;2006-05
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Xiu-min;A Study on the “Contradictions” of Paraconsistent Logic[J];;2005-01
2 XIA Su-min;An Analysis of the Relationship between Formal Reason and Dialectical Reason[J];;2005-02
3 SHEN Yue-chun;Jin Yuelin's Concept of Paradox and Its Enlightenment[J];;2006-01
4 QIAN Guang-rong(Research Center of Marxism,Anhui Normal University,Wuhu Anhui 241000,China);Moral Paradox Research Needs to Expand in Three Cognitive Directions[J];Journal of Anhui Normal University(Hum.& Soc.Sci.);2007-05
5 WANG Xi-sheng(Research Center of Marxism,Anhui Normal University,Wuhu Anhui 241000,China);Consideration of Moral Paradox Attribute—From the Point of View of Logic[J];Journal of Anhui Normal University(Hum.& Soc.Sci.);2007-05
6 QIAN Guang-rong(Research Center of Marxism,Anhui Normal University,Wuhu Anhui 241000,China);Paradox of Unmoral Choice's Legality-Analysis of Conflict between Legal Protection and Moral Advocation[J];Journal of Anhui Normal University(Hum.& Soc.Sci.);2008-03
7 WANG Xi-sheng(Research Center of Marxism,Anhui Normal University,Wuhu Anhui 241000,China);Ways of Resolving Moral Paradox-From the Point of View of Resolving Logical Paradox[J];Journal of Anhui Normal University(Hum.& Soc.Sci.);2008-03
8 LIU Ye-tao(Institute of Logic and Cognitive Science Yanshan University,Qinhuangdao Hebei 066004,(China);On "Moral Paradox" as a Kind of Paradox[J];Journal of Anhui Normal University(Hum.& Soc.Sci.);2008-03
9 He Ziqiang(Dept. of Comp. Sci. and Eng., BUAA);A PROOF OF THE INDEPENDENCE OF AN AXIOM SYSTEM FOR FIRST-ORDER LOGIC[J];JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS;1994-01
10 LIU Yi (Coll.Math.& Infor.Sci.,Northwest Normal University,Lanzhou 730070,Gansu,China);Relationship between mathematics and logic & the interaction in their development[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2004-01
China Proceedings of conference Full-text Database 1 Hits
1 Zhang Chunfeng Wu Shuxian (Center of Science, Technology and Society, Tsinghua University, Beijing, 100084);On Pickering’s Concept Practice[A];[C];2008
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 SHEN Wei-guo (The Editorial Department of “Area Heat Supply”,Beijing 100026 China);A Enigmatic Premise of Cantor's Diagonal Argument[J];Journal of Tianjin Adult Higher Learning;2005-03
2 SHEN Wei-guo(Modern Logic Research Institute of Renmin University of China,Beijing 100080 China);Discuss about the Countability of Set of Real Numbers and the Relevant Problems[J];Journal of Tianjin Vocational Institutes;2006-05
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 SHEN Wei-guo (The Editorial Department of “Area Heat Supply”,Beijing 100026 China);A Enigmatic Premise of Cantor's Diagonal Argument[J];Journal of Tianjin Adult Higher Learning;2005-03
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