| 人类科学中经典无穷理论体系的终结 |
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| 引用本文： | 欧阳耿.人类科学中经典无穷理论体系的终结[J].河北理工大学学报(社会科学版),2006,6(2):5-7. |
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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,1363000 |
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| 摘 要： | 从新构建的基础理论学的角度,用全新的基础理论学的方法1],在两个层面上揭示了经典无穷理论体系(无穷观)中所存在的三个本质性缺陷,得到明确的结论:1.人类沿用了几千年的经典无穷理论体系不管从宏观或微观的角度都无法真正从质上与量上描述与认识客观世界中存在的无穷事物.2.在经典无穷理论体系中产生的所有与"无穷"、"无穷小"、"无穷大"概念相关的悖体论与难题在自己的理论体系中是不可解的1,3].介绍了新构建的无穷理论体系的特点,宣告经典无穷理论体系的终结.
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| 关 键 词： | 无穷 有穷 悖论 潜无穷-实无穷之争 无穷规律的载体 基础理论学 新无穷理论体系 |
| 文章编号： | 1673-2804(2006)02-0005-03 |
| 修稿时间： | 2005年10月4日 |
The End of the Classical Infinite Theory in Human Science |
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| OUYANG Geng.The End of the Classical Infinite Theory in Human Science[J].Journal of Hebei Polytechnic University(Social Science Edition),2006,6(2):5-7. |
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| Authors: | OUYANG Geng |
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| Abstract: | With the idea and the technique of the newly constructed basic theorylogy~ 1],three fatal defects in the ccassical infinite theory are revealed on two different levels.The conclusions are:first,not matter from macro state or microstate,the objective infinite things can not really be described and understood essentially and quantitatively in the classical infinite theory.Second all the problems and paradoxes related to infinitesimal,infinitely great and infinity concepts in the classical infinite theory are unsolvable within the theoretic system itself~ 2,3].This paper further introduces the characteristics of the newly constructed infinite theory and proclaims the end of the classical infinite theory. |
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| Keywords: | infinity finiteness paradox actual-potential infinity debate the carrier of infinite law basic theoryology the new infinite theory |
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