Philosophy Lexicon of Arguments

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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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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
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A. d'Abro Die Kontroversen über das Wesen der Mathematik 1939 in Kursbuch 8 Mathematik 1967

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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.


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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
d’Abro, A.




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Ed. Martin Schulz, access date 2017-07-22