Economics Dictionary of ArgumentsHome
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| Ordinal numbers: ordinals indicate the position of elements within a sequence (expressed by "first", "second", ...). In contrast, cardinal numbers (expressed by "one," two ", ...) indicate the size (cardinality) of sets. See also numbers, sets, order, well-ordering._____________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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Christian Thiel on Ordinal Numbers - Dictionary of Arguments
Thiel I 199 Transfinite Ordinal Numbers/Cantor: we start from the basic numbers again, not only for counting, but now also with the aim of arranging. Now we also want to specify in which order the elements of a set are to be considered in a context. Def Ordered: A set is called ordered by KL, if for each two different of its elements a and b either aKb or bKa is valid. Arrangements are called w. There are very different arrangement possibilities. I 200 Def Pairterm: Then the representation of the relation term representing the order relation is additionally required: the "Pairterm". When comparing ordered sets, the term "illustration" is used. >Sets, >Order, >Mapping, >Relations._____________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. |
T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |
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