Philosophy Lexicon of Arguments

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Formalism: the thesis that statements acquire their meaning only from the rules for substituting, inserting, eliminating, forming, equality and inequality of symbols within a calculus or system. See also calculus, meaning, rules, content, correctness, systems, truth.

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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I 127
Sign/FregeVsformalism: blank signs are only a blackening of the paper - their use would be a logical error - blank signs don’t solve any task - e.g. x + b = c: if b > c, there is no natural number x, which can be used - to accept the difference (c - b) as an artificial new sign is no solution - sign/Frege: where a solution is possible, it is not the sign that is the solution, but the meaning of the sign.
I 130
FregeVsformalism: only instructions for definitions - not the definition itself.
I 131
E.g. Number i: one has to re-explain the meaning of "sum" - 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 2018-05-20