Economics Dictionary of ArgumentsHome
| |||
|
| |||
| 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 |
|---|---|---|---|
|
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 |
||
Authors A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Concepts A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
