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Mathematics: Mathematics is the study of patterns and relationships. It encompasses arithmetic, algebra, calculus, geometry, trigonometry, topology, and others. Mathematics is used in science, engineering, business, and finance. See also Physics, Logic.
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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.

 
Author Concept Summary/Quotes Sources

Eugene P. Wigner on Mathematics - Dictionary of Arguments

Wilson I 67
Mathematics/Logics/Wigner/Wilson, E. O.: (E. Wigner 1969)(1):
Wilson: Wigner spoke of the illogical effects of mathematics in the natural sciences. For reasons that have been closed to scientists and philosophers alike, the agreement between mathematical theory and experimental physics is so great that the conclusion that mathematics is the natural language of science in a deeper sense is virtually imposed.
Wigner: The enormous usefulness of mathematics for the natural sciences is something that borders on a mystery and for which there is no reasonable explanation. It is not natural that "laws of nature" exist, and even less so that the human is able to recognize them.
>Natural laws
, >Knowledge, >Science, >Cognition, >Physics.

1. E. Wigner, The unreasonable effectiveness of mathematics in the natural sciences, in: Communications on Pure and Applied Mathematis 13 (1969), p. 1. -14.

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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. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Wigner I
Eugene P. Wigner
Symmetries and Reflections: Scientific Essays Carbridge, MA 1970

WilsonEO I
E. O. Wilson
Consilience. The Unity of Knowledge, New York 1998
German Edition:
Consilience: The Unity of Knowledge New York 1998


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