On what there is—infinitesimals and the nature of numbers
pp. 109-134
in: , Structures and algorithms, Berlin, Springer, 2018Abstrakt
This essay will be divided into three parts. In the first part we discuss the case of infinitesimals seen as a bridge between the discrete and the continuous. This leads in the second part to a discussion of the nature of numbers. In the last part we follow up with some observations on the obvious applicability of mathematics. The main body of the text is followed by a Postscript with some further thoughts on what numbers are.