| 人类科学中现有经典极限论的终结(Ⅲ) |
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| 引用本文： | 欧阳耿.人类科学中现有经典极限论的终结(Ⅲ)[J].喀什师范学院学报,2007,28(6):16-21. |
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| 作者姓名： | 欧阳耿 |
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| 作者单位： | 漳州师范学院,数学系,福建,漳州,363000 |
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| 摘 要： | 进一步揭示、分析由于经典无穷观和经典数谱的缺陷所导致的存在于经典极限论中一个很隐蔽的逻辑矛盾,综合分析芝诺悖论家族和贝克莱悖论家族所揭示的问题的本质,得到明确的结论:(1)经典无穷理论体系、经典数谱和经典极限论这三大基础理论中所存在的缺陷导致了芝诺悖论家族和贝克莱悖论家族的产生,所以由这两大悖论家族从不同角度所揭示的所有难题在现有科学理论体系中是不可解的;(2)经典无穷理论体系、经典数谱和经典极限论中所存在的致命缺陷决定了人类科学中经典极限论的终结.
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| 关 键 词： | 芝诺悖论 贝克莱悖论 无穷理论体系 数谱 极限论 第二次数学危机 |
| 文章编号： | 1006-432X（2007）06-0016-06 |
| 收稿时间： | 2007-07-13 |
| 修稿时间： | 2007年7月13日 |
The End of the Present Classical Limit Theory in Human Science (Ⅲ) |
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| OUYANG Geng.The End of the Present Classical Limit Theory in Human Science (Ⅲ)[J].Journal of Kashgar Teachers College,2007,28(6):16-21. |
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| Authors: | OUYANG Geng |
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| Abstract: | A deeply concealed logical contradiction in classical limit theory caused by the defects of classical infinite theory and classical number spectrum is uncovered and analyzed based on the work introduced by \ and \.The natures of problems disclosed by the families of Zeno's Paradoxes and Berkeley's Paradoxes are analyzed comprehensively.The conclusions are:(1) It was the defects in three basic theories of classical infinite theory,classical number spectrum and classical limit theory that produced the families of Zeno's Paradoxes and Berkeley's Paradoxes,so all the problems disclosed respectively by the two paradoxes' families are unsolvable in present science system.(2) The fatal defects in classical infinite theory,classical number spectrum and classical limit theory decide the end of classical limit theory. |
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| Keywords: | Zeno's Paradoxes Berkeley's Paradox Infinite theory Number spectrum Limit theory The Second Mathematical Crisis |
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