The same happens in Mathematics studying numbers and objects that can be constructed by using numbers. Numeral systems used to express numbers are instruments of observations used by mathematicians. The usage of powerful numeral systems gives the possibility of obtaining more precise results in Mathematics in the same way as usage of a good microscope gives the possibility to obtain more precise results in Physics. Let us now return to Pirahã and make the first relevant observation with respect to the subject of this paper.

The weakness of the numeral system of Pirahã gives them inaccurate answers to arithmetical operations with finite numbers where modern numeral systems are able to provide exact solutions. However, Pirahã obtain also such results as + 1= , + 2 = , \[Riemann29\] which are very familiar to us in the context of views on infinity used in the traditional calculus where the famous numeral $\infty$ is used: + 1= , + 2 = . \[Riemann30\] This observation leads us to the following idea: *Probably our difficulties in working with infinity in general (and in particular, with the the Riemann zeta function) is not connected to the nature of infinity itself but is a result 