Philosophy Dictionary of ArgumentsHome
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| Arithmetics: Arithmetics is a branch of mathematics that deals with numbers, their properties, and operations._____________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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F. Waismann on Arithmetics - Dictionary of Arguments
I 50 Arithmetics/Waisman: arithmetics is based on logic. In doing so, one makes strong use of terms of the set theory, or the class calculus. The assertion that mathematics is only a >"part of logic" includes two theses, which are not always clearly separated: (A) The basic concepts of arithmetic can be traced back by definition to purely logical ones. (B) The principles of arithmetic can be deduced by means of proof from purely logical propositions. >Basic concepts, >Propositions, >Definitions, Definability._____________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. |
Waismann I F. Waismann Einführung in das mathematische Denken Darmstadt 1996 Waismann II F. Waismann Logik, Sprache, Philosophie Stuttgart 1976 |
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> Counter arguments against Waismann
> Counter arguments in relation to Arithmetics
Ed. Martin Schulz, access date 2024-04-16