 The table is ordered in terms of increasing generality. Starting from the set of natural numbers \(\mathbb{N}\), various extensions are possible taking into account closure under subtraction, \(\mathbb{Z}\), and division, \(\mathbb{Q}\). This are the number classes for which we have adequate finite symbolic representations on a macroscopic scale. For elements of the real numbers \(\mathbb{R}\) such a representations are not available. The real numbers \(\mathbb{R}\) introduce the aspect of manipulation of infinite amounts of information in one operation.