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

A. d’Abro on Proofs - Dictionary of Arguments

A. d'Abro Die Kontroversen über das Wesen der Mathematik 1939 in Kursbuch 8 Mathematik 1967

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E.g. If Euclid introduces factors in the proof of the infinity of the prime numbers, this is a device and does not follow from a logical necessity.
>Logical necessity
, >Necessity, >Provability, >Methods, >Infinity, >Primes.

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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.

d’ Abro I
A. d’ Abro
The Rise of the New Physics Mineola, NY 1951


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Ed. Martin Schulz, access date 2024-04-18
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