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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Alfred Tarski on Functions - Dictionary of Arguments
Berka I 454 Definition Quotation function/Tarski: the in Tarski schema (or variants) occurring expression ""p"" (quotes twice) must be regarded as a function whose argument is a propositional variable and the values constant leading names of statements. So the quotation marks become separate words (like the word "name") with the syntactic role of functors. >Functors, >Names of sentences. Problem: "for any p and q - is p iff q, so is "p" identical with "q"" stands in stark contrast to the conventional use of quotes. >Quotation marks. Solution: functors must be construed here intensional. >Intensionality. I 455 VsQuotation function: quotation function with variable argument: leads to Liar-paradox, even without the term "true statement". E.g. "the first statement on page 13". Problem: requirement for quotation marks: if the statement "p" is identical with the statement "q", so p if and only if q.(1) 1. A.Tarski, Der Wahrheitsbegriff in den formalisierten Sprachen, Commentarii Societatis philosophicae Polonorum. Vol 1, Lemberg 1935_____________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. |
Tarski I A. Tarski Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983 Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |
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