|Idealization: idealization is a simplification of theories for the purpose of generalization. A) Before starting an investigation in physics, e.g. the assumption of a mass point, i.e. a practical impossibility, which, however, simplifies the calculation and delivers correct results. B) Subsequently, for example, the smoothing of the course of a curve of measured values. See also Theories, measurements.|
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|A. d'Abro Die Kontroversen über das Wesen der Mathematik 1939 in Kursbuch 8 Mathematik 1967
Riemann/d'Abro: Riemann wanted to solve a certain problem of his function theory with respect to a closed curve, and simplified the curve to a circle. Thus the solution was relatively easy. If we forget, however, that the proof contains a transformation, we will probably not be able to comprehend it.