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Axiom of power set
Axiom of power set In mathematics, the axiom of power set is one of the Zermelo- ...
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Talk:Axiom of power set
Talk:Axiom of power set Maybe somebody should add a note to ...
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Power set
Power set In mathematics, given a set S, the power set (or powerset) of S, written |
Talk:Power set
Talk:Power set other "The power set of the set of natural numbers for instance can ...
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Power (translated from German)
Power This article treats the term Kardinalitaet in ... uses from that Mengenlehre coming term that Power or Kardinalitaet, in order to generalize the ... infinite quantities. For finite quantities one sets power equal the number for that Elemente the ... case of finite quantities. Table of contents Power with finite quantities With finite quantities power designates the number of elements of ...
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Set theory (translated from German)
Set theory This article is concerned with the ... first introduction to the terms of the set theory is under Quantity (mathematics). Those Set theory is a fundamental Subsection that Mathematics ... Analysis , Masstheorie, Stochastik or Topologie on the set theory are developed. Beyond that there are ... to Praedikatenlogik . Table of contents History Naive set theory The set theory comes up ...
http://de.wikipedia.org/wiki/Mengenlehre - 45k - Cached (German) - Wikipedia (German) - Similar pages
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Axiomatic set theory
Axiomatic set theory Set theory is a branch of mathematics created ... end of the 19th century. Initially controversial, set theory has come to play the role ... functions) and their properties. Formal versions of set theory also have a foundational role to ... the same time the basic concepts of set theory are used throughout mathematics, the ...
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Zermelo set theory
Zermelo set theory Zermelo set theory, as set out in an important paper in 1908 ... Ernst Zermelo, is the ancestor of modern set theory. It bears certain differences to its ... and original numbering. The axioms of Zermelo set theory AXIOM I. Axiom of extensionality ( ...
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Power quantity (translated from German)
Power quantity As Power quantity designates one in that Mengenlehre the ... of all subsets of a given fundamental set. The power quantity is thus in Quantity system, i ... elements themselves are quantities. One notes the power quantity of a fundamental set X ...
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Talk:Axiom
Talk:Axiom In the twentieth century, the grand goal of finding a "true" and "universal" set of axioms was shown to be a ... what he showed, which was that no set of axioms sufficiently large for ordinary mathematics ... that there is no universal and true set of axioms. There are definitely complete and ... as real arithmetic, but they lack the power of, say, integer arithmetic and thus ...
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