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arXiv · 1106.2290

Using Grossone to count the number of elements of infinite sets and the connection with bijections

Maurice Margenstern
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Abstract

In this paper, we look at how to count the number of elements of a set within the frame of Sergeyev's numeral system. We also look at the connection between the number of elements of a set and the notion of bijection in this new setting. We also show the difference between this new numeral system and the results of the traditional naive set theory.

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Maurice Margenstern. 2011-06-12. Using Grossone to count the number of elements of infinite sets and the connection with bijections. https://arxiv.org/abs/1106.2290

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