Using Grossone to count the number of elements of infinite sets and the   connection with bijections
  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. 
Maurice Margenstern
cs.DM