| Leibniz割线切线问题在数学无穷之逻辑基础层面上的分析研究(英文) |
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| 引用本文： | 朱梧槚,宫宁生,杜国平.Leibniz割线切线问题在数学无穷之逻辑基础层面上的分析研究(英文)[J].数学季刊,2011(3). |
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| 作者姓名： | 朱梧槚 宫宁生 杜国平 |
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| 作者单位： | School of Information Science and Technology;Nanjing University of Aeronautics and Astronautics;State Key Laboratory of Software Development Environment;Beihang University;School of Electronics and Information Engineering;Nanjing University of Technology;Institute of Modern Logic and Applications;Nanjing University; |
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| 基金项目： | Supported by the Open Fund of the State Key Laboratory of Software Development Environment(SKLSDE-2011KF-04); Supported by the Beihang University and by the National High Technology Research and Development Program of China(863 Program)(2009AA043303) |
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| 摘 要： | Refs 1 and 2 provide the definition of the concepts of‘potential infinity’(poi)and actual infinity(aci);Ref 3 discusses and verifies that poi and aci are a pair of contradictory opposites without intermediate(p,-p).The second part of this paper,i.e.,§2,further discusses the manners in which a variable x approaches infinitely to its limit x0 using the poi and aci methods and concludes that,in any system compatible with both poi and aci, the two approaching manners are also a pair of contradictory opposites w...
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| 关 键 词： | 数学 基础层面 分析研究 无穷 切线 割线 逻辑 问题 |
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