@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024}, author = {Thiel,Christian}, subject = {Ordinal Numbers}, note = {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.}, note = { T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 }, file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=807026} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=807026} }