网络幂集公理 网络释义 1. 幂集公理 数学词汇英语翻译(A-E) ... axiom of infinity 无穷性公理axiom of power set幂集公理axiom of reducibility 可化归性公理 ... www.zftrans.com|基于20个网页
This chapter discusses the inner models, ordinal definability, and the axiom of power set. A formula ( x ) defines an inner model for a set theory T if it is provable in T that—(1) ( y ) ( z ) ( y ∈ z & ( z ) → ( y )), (2) ( a ) ( a ), and (3) A for ...
It is consistent with the axioms so far presented (ZFC--P) that the only infinite cardinal is...
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ned on a collection X of nonempty sets, such that for every set A in X, f (A) is an element of A. With this concept, the axiom can be stated: For any set X of nonempty sets, there exists a choice function f de?ned on X. Formally, this may be expressed as follows: (S ?)...
Infinity: There exists aninfinite set. Power-set: If X is a set, so is itspower set. Zermelo set theory avoidsRussell's paradoxby excluding sets of elements with arbitrary properties - the Comprehension axiom only allows a property to be used to select elements of an existing set. ...
There is also a set theorist of this kind. She can calibrate power sets roughly without axiom of choice and she has several publications in JSL on this. She is a perfect realization of classical constructivism. She CONSTRUCTED every her possession, including her flat. ...
an obvious or generally accepted principle."Practice makes perfect" is a familiar axiom.It is an axiom of politics that the more unhappy the voters are at election time, the more likely they will be to reject the party in power. in mathematics, a statement, often one regarded as obvious,...
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