徐利治,谢洪欣.论非标准时空连续统模型及其对Zeno悖论分析的应用[J].数学研究及应用,1987,7(2):351~355 |
论非标准时空连续统模型及其对Zeno悖论分析的应用 |
On the Non-standard Model for the Time and Space with an Application to Resolving Zeno s Paradoxes |
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DOI:10.3770/j.issn:1000-341X.1987.02.032 |
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中文摘要: |
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英文摘要: |
The object of this article is to expound our non-standard model <*R, N> for the time and space, in which *R is the non-standard real continuum and N the flying segment of N-the so-called non -Cantorian model of natural number sequence whose structure has been formulated previously (cf. Lizhi Xu's book "Selected Topics on the Methodology of Mathematics", Hua Zhong University of Science & Technology Press, 1983, Cha pter 7). As an application of the model, Zeno's paradoxes have been resolved in a very natural way. In fact, the concept of motion and that of motionlessness have only relative meaning with respect to the so-called monads of different orders in the model <*R, N>. |
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