## Psychology Dictionary of ArgumentsHome | |||

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Number of... (Anzahl, amount): Result of counting unlike a number that has not yet been determined. Frege used "Anzahl" (amount) to define numbers._____________ 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 |
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David Hilbert on Number of (Amount) - Dictionary of Arguments Berka I 121 Def Number of/amount/(German: "Anzahl")/extendend function calculus/Hilbert: extendend function calculus: here also formulas are possible, which do not depend on any variables, which represent thus certain statements, for these one has to determine their correctness or falsehood. >Truth values, >Truth. Def number of: a number is not an object, but a property. The individuals to whom a number belongs to as a property cannot be the counted things themselves, since each of the things is only one, so that a number that is different from one could not occur at all. >Properties, >Predicates, >Objects. Correct: for example, it is a property of the predicate "being continent of the earth", which is true for exactly five individuals. Numbers/Hilbert: numbers also appear as qualities of predicates. Definition of a definite number/Hilbert: individual predicate function. In the extendend function calculus: here it will be possible to include the number theory into the logic. The numbers 0, 1, 2 are the functions 0 (F), 1 (F), 2 (F), etc. ^{(1)}>Numbers, cf. >"Exactly One". 1. D. Hilbert & W. Ackermann: Grundzüge der theoretischen Logik, Berlin, 6. Aufl. Berlin/Göttingen/Heidelberg 1972, §§ 1, 2. _____________ 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. |
Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |

> Counter arguments against **Hilbert**

> Counter arguments in relation to **Number of (Amount)**