Transfinite Algebra
- By Sergiu Rudeanu1
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View Affiliations Hide Affiliations1 University of Bucharest, Romania
- Source: Sets and Ordered Structures , pp 83-106
- Publication Date: March 2012
- Language: English
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The theory of ordinal numbers is a natural and very powerful generalization of the order-theoretical properties of natural numbers. In particular it furnishes transfinite induction, a method for constructing rather complicated mathematical concepts and for proving properties valid beyond the natural numbers. Ordinal numbers can also serve as a basis for introducing cardinal numbers. The latter evaluate "how many elements" a set possesses, being thus a kind of "quantitative" generalization of natural numbers, widely used in mathematics.
Hardbound ISBN:
9781608054992
Ebook ISBN:
9781608053384
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