Philosophy Dictionary of ArgumentsHome
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| Number theory: Number theory is a branch of mathematics that studies the integers and related objects including prime numbers, divisibility, congruences, modular arithmetic, diophantine equations, analytic number theory, algebraic number theory, geometric number theory. See also Numbers, Geometry, Equations._____________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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Alfred Tarski on Number Theory - Dictionary of Arguments
Berka I 532 Elementary number theory/Tarski: the science in which all variables represent names of natural numbers and as constants: (in addition to the characters of the propositional calculus and the functional calculus) the characters of zero, unity, equality, the sum and of the product may occur.(1) >Numbers, >Unity, >Equality, >Equal sign, >Variables, >Name of a number, >Natural numbers, >Real numbers, >One, >Zero. 1. A.Tarski, Der Wahrheitsbegriff in den formalisierten Sprachen, Commentarii Societatis philosophicae Polonorum. Vol 1, Lemberg 1935_____________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. |
Tarski I A. Tarski Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983 Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |
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> Counter arguments against Tarski
> Counter arguments in relation to Number Theory
Ed. Martin Schulz, access date 2024-04-28