Economics Dictionary of Arguments

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Functions: I. A function in mathematics is a relation between a set of inputs and a set of outputs, where each input is related to exactly one output. The set of inputs is called the domain of the function. Functions can be represented by formulas, graphs, or tables. For example, the function f(x) = x^2 is represented by the formula y = x^2, which takes any number as input and returns its square as output. The graph of this function is a parabola. II. In psychology, functions refer to the various mental processes and behaviors that enable individuals to adapt and interact effectively with their environment. These include cognitive functions like perception, memory, and reasoning, as well as emotional and social functions like regulating emotions, forming relationships, and making decisions.
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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

Ludwig Wittgenstein on Functions - Dictionary of Arguments

II 332
Function/arithmetic/Russell/Wittgenstein: Russell believed one could not talk about the number 3 independently of each function - the number would be a property of a function. >Numbers
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WittgensteinVsRamsey: the construction of a relation does not depend on finding a phenomenon. >Relations.
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IV 68
Operation/Tractatus: (5.25) not the same as function: function cannot be its own argument, but rather an operation - operation: E.g. logical sum, logical product, negation. >Negation.

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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.

W II
L. Wittgenstein
Wittgenstein’s Lectures 1930-32, from the notes of John King and Desmond Lee, Oxford 1980
German Edition:
Vorlesungen 1930-35 Frankfurt 1989

W III
L. Wittgenstein
The Blue and Brown Books (BB), Oxford 1958
German Edition:
Das Blaue Buch - Eine Philosophische Betrachtung Frankfurt 1984

W IV
L. Wittgenstein
Tractatus Logico-Philosophicus (TLP), 1922, C.K. Ogden (trans.), London: Routledge & Kegan Paul. Originally published as “Logisch-Philosophische Abhandlung”, in Annalen der Naturphilosophische, XIV (3/4), 1921.
German Edition:
Tractatus logico-philosophicus Frankfurt/M 1960


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