b) Structur">

Philosophy Dictionary of Arguments

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Calculus: a calculus is a system of symbols for objects (which are not further specified) as well as rules for the formation of expressions by the composition of these symbols. There are other rules for transforming composite expressions into other expressions. As long as no specified objects are accepted for the individual symbols, the calculus is not interpreted, otherwise interpreted.
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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 Concept Summary/Quotes Sources

Paul Bernays on Calculus - Dictionary of Arguments

Thiel I 20
Formalism ("linguistic turnaround"): a) calculus-theoretical variant/Bernays: what is the mathematician's work?
b) Structure-theoretical variant/Hilbert: different systems can be interpreted as valid in the same object area.
>Formalism
, cf. >FregeVsHilbert, >Formalism/Frege, cf. >Blackening of the paper.

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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.
Bernays, Paul
T I
Chr. Thiel
Philosophie und Mathematik Darmstadt 1995


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Ed. Martin Schulz, access date 2024-04-23
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