Using grossone to count the number of elements of infinite sets and the connection with bijections
Using grossone to count the number of elements of infinite sets and the connection with bijections
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使用grossone计算无限集合的元素数量以及与双射的联系
DOI：
10.1134/s2070046611030034
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
M. Margenstern
中科院分区：
文献类型：
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作者：
M. Margenstern
在本文中，我们看看如何双射的概念可以在谢尔盖耶夫的数字系统的框架内使用。我们给出了两个定义来计算集合的元素个数，并探讨了这两个定义之间的联系。我们还展示了这个新的数制与传统的朴素集合论的结果之间的差异。
In this paper, we look at how the notion of bijections can be used within the frame of Sergeyev’s numeral system. We give two definitions for counting the number of elements of a set and we explore the connections between these two definitions. We also show the difference between this new numeral system and the results of the traditional naive set theory.