| Poincaré线性连续统直觉概念的公式化 |
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| 引用本文： | 徐利治,徐铁生.Poincaré线性连续统直觉概念的公式化[J].数学研究与评论,2003,23(4):635-643. |
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| 作者姓名： | 徐利治 徐铁生 |
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| 作者单位： | 1. 大连理工大学应用数学系,辽宁,大连,116024
2. 北京机械工业部自动化研究所,北京,100011 |
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| 摘 要： | 本文研究了Poincaré著名注记中"内束"观念的数学表述法问题,通过构建Poincaré连续统模型,得到了这一问题的一种解答.文中还论述了有关数理哲学及方法论问题;文末特别指出了须继续研究的数学问题.
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| 关 键 词： | 内束 Poincaxé 连续统 跃距结构 半无限小. |
A Formulation of Poincaré's Intuitive Concept of Linear Continuum |
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| Abstract.A Formulation of Poincaré''s Intuitive Concept of Linear Continuum[J].Journal of Mathematical Research and Exposition,2003,23(4):635-643. |
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| Authors: | Abstract |
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| Abstract: | Henri Poincaré's intuitive concept of the linear continuum was described by his famous remark which was noted by Bertrand Russell, and in which the notion of "intiremark, and also aims at a formulation of the intimate bond with the aid of introducing a kind of "leap structure" into Robinson's *R as a supplemental construction. As a result, |
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| Keywords: | leap-structure semiinfinitesimal |
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