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

Details 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

2011-06-12

arxiv.org/abs/1106.2290v1

Computer Science

Discrete Mathematics

13 pages, 2 figures, a slightly different variant is accepted by the journal "p-Adic Numbers, Ultrametric Analysis and Applica

Scientific paper

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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