Economics Dictionary of ArgumentsHome
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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._____________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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Gottlob Frege on Functions - Dictionary of Arguments
II 83 f Function: a function has generality; it is a law. Any number of an x-range is assigned to a number of the y-range. A function is not a variable (also: an elliptic function is not an elliptic variable). Function: a function is unsaturated. >Generality, >unsaturated, >Generalization. II 87 Functional characters: functional characters are unsaturated. However, in connection with numerals they are saturated. Argument: every time a number > value of the function Caution: it has become common to read the equation "y = f (x)": "y is a function of x". This contains two errors: 1) If the equal sign is translated by the copula. 2) The function with its value is mistaken for an argument. These errors gave rise to the opinion that the function was a number. >Equations, >Numbers. - - - Husted V 93 Functions of numbers are fundamentally different (because they are unsaturated). Logic/Grammar: E.g. "Peter plays with Agnes": in the logic both Peter and Agnes can be declared subjects. >Subject, >Predicate. V 93 Argument/function: E.g. "(3) to the power of 2". The argument expression is: "3". The function expression is: "(...) to the power of 2". E.g. "3 + 2". The argument expressions is: "2" and "3". The function expression is: "+". E.g. "Peter is asleep". The argument expression is: "Peter". The function expression is: "is asleep". E.g. "Everybody loves Agnes". The argument expression is: "loves Agnes". The function expression is: "everybody". Function expressions: "+", (...) to the power of"! The verb (sometimes also the argument expression) is a second order function expression: "everybody", "nobody". Function expressions: 1st order E.g. "is asleep" 2nd order E.g. "everybody", "nobody"._____________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. |
F I G. Frege Die Grundlagen der Arithmetik Stuttgart 1987 F II G. Frege Funktion, Begriff, Bedeutung Göttingen 1994 F IV G. Frege Logische Untersuchungen Göttingen 1993 Husted I Jörgen Husted "Searle" In Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke, Reinbek 1993 Husted II Jörgen Husted "Austin" In Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke, Reinbek 1993 Husted III Jörgen Husted "John Langshaw Austin" In Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke, Reinbek 1993 Husted IV Jörgen Husted "M.A. E. Dummett. Realismus und Antirealismus In Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke (Hg), Hamburg 1993 Husted V J. Husted "Gottlob Frege: Der Stille Logiker" In Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke (Hg), Reinbek 1993 |
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