Psychology Dictionary of Arguments

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Numbers: whether numbers are objects or concepts, has been controversial in the philosophical discussion for millennia. The most widely accepted definition today is given by G. Frege (G. Frege, Grundlagen der Arithmetik 1987, p. 79ff). Frege-inspired notions represent numbers as classes of classes, or as second-level terms, or as that with one measure the size of sets. Up until today, there is an ambiguity between concept and object in the discussion of numbers. See also counting, sets, measurements, mathematics, abstract objects, mathematical entities, theoretical entities, number, platonism.
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

Hennig Genz on Numbers - Dictionary of Arguments

II 172
Counting/Genz: ultimately, it is the laws of physics that enable counting and the associated operations of arithmetic, for example, the functioning of the computer.
, >Computer model.
Brain/count/Genz: for example, if we were living in a world where all things would be clouds merging into one another, we would certainly not have developed the ability to count.
>Levels (Order), >Experience.

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.

Gz I
H. Genz
Gedankenexperimente Weinheim 1999

Henning Genz
Wie die Naturgesetze Wirklichkeit schaffen. Über Physik und Realität München 2002

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