## Philosophy Lexicon of Arguments | |||

Author | Item | Excerpt | Meta data |
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Frege, Gottlob Books on Amazon |
Functions | II 83 f Function: generality, law. - Any number of x-range is assigned to a number of the y-range - A function is not a variable! (An elliptic function is not an elliptic variable). Function: is unsaturated. II 87 Functional Characters: unsaturated - in connection with numerals: 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. 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. V 93 Argument/Function: E.g. "(3) to the power of 2": argument expression: "3" Function expression: "(...) to the power of 2". E.g. "3 + 2" argument expressions: "2" and "3" - function expression: "+". E.g. "Peter is asleep" - argument expression: "Peter" - function expression: "is asleep". E.g. "Everybody loves Agnes" argument expression "loves Agnes" function expression: "everybody" Function expressions: "+", (..) to the power of"! - verb (sometimes also argument expression) second order function expression: "everybody", "nobody". Function expressions: 1st order E.g. "is asleep" 2nd order E.g. "everybody", "nobody". |
F I G. Frege Die Grundlagen der Arithmetik Stuttgart 1987 F II G. Frege Funktion, Begriff, Bedeutung GĂ¶ttingen 1994 F IV G. Frege Logische Untersuchungen GĂ¶ttingen 1993 |

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Ed. Martin Schulz, access date 2017-03-27