Philosophy Dictionary of Arguments

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Proofs: A proof in logic, mathematics is a finite string of symbols, which derives a statement in a system from the axioms of the system together with already proven statements. See also Proof theory, Provability, Syntax, Axioms.
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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

G. Frege on Proofs - Dictionary of Arguments

Thiel I 91
Proof/analysis/synthesis/Frege/Thiel: Frege, Basic Laws of Arithmetic: the "decomposition" (analysis) is only for the convenience of the reader, while the following "construction" (>synthesis) contains the actual compelling proof.
>Analyticity/Syntheticity.


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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.

F I
G. Frege
Die Grundlagen der Arithmetik Stuttgart 1987

F II
G. Frege
Funktion, Begriff, Bedeutung Göttingen 1994

F IV
G. Frege
Logische Untersuchungen Göttingen 1993

T I
Chr. Thiel
Philosophie und Mathematik Darmstadt 1995


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Ed. Martin Schulz, access date 2024-04-19
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