Philosophy Lexicon of Arguments

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Signs: signs are recognizable and definable forms that an observer can assign to two domains. The first domain is the repertoire of available forms that allows a distinction of similarity and dissimilarity within this domain, the second domain is a set of objects which also distinguishes between similarity and dissimilarity between these objects as well as distinguishing the objects of the second domain from the forms of the first domain. There are no signs without observation or interpretation. See also language, words, symbols, icons, systems, image, image theory, pictures, assignment.

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 Item Summary Meta data
II 31
Signs/Frege: as long as E.g. the plus sign is used only between integers ("a + b"), it only needs to be explained for this purpose. If other objects are to be linked, E.g. "sun" with something else, the plus sign must be redefined.
II 41
Frege: Sign: proxy.
II 88
Numeral/Frege: E.g. "2" - saturated. - In contrast: functional character: e.g. "sin" (sine, sinus) unsaturated.
II 91
Sign/Frege: are the requirements for conceptual thinking - they no longer refer to the individual thing, but to what several things have in common.
I 127
Sign/FregeVsFormalism: empty signs are only black spots on paper. - Their use would be a logical error. - Empty signs do not solve any task E.g. x + b = c: if b > c, there is no natural number x that can be inserted - nor to accept the difference (c - b) as an artificial new sign.
Sign/Frege: and where a solution is possible, the sign is not the solution, but the meaning of the sign.
V 130
FregeVsFormalism: only gives instructions for definitions - no definitions themselves.
III 131
E.g. Number i: the meaning of "total" must be re-explained.
FregeVsHilbert: it is not enough just to call for a sense.

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.

G. Frege
Die Grundlagen der Arithmetik Stuttgart 1987

G. Frege
Funktion, Begriff, Bedeutung Göttingen 1994

G. Frege
Logische Untersuchungen Göttingen 1993

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Ed. Martin Schulz, access date 2018-06-18