Transfinite induction
Transfinite induction Transfinite induction is an extension of mathematical induction ... one of three forms of mathematical induction. Transfinite induction To prove that a property P holds for all ordinals, one applies transfinite induction as follows: Base case: Prove that ... a) holds for all a < 0 vacuously. Transfinite recursion Transfinite recursion is a method ...
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User:Transfinite
User:Transfinite en This user is a native speaker ... in Computer Science from Western Illinois University. --Transfinite 04:40, 22 February 2006 (UTC)
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Transfinite number
Transfinite number Transfinite numbers, also known as infinite numbers, are ... numbers that are not finite. The term transfinite was coined by Georg Cantor, who wished ... there are two ways of thinking of transfinite numbers, as ordinal and cardinal numbers. Unlike the finite ordinals and cardinals, the transfinite ordinals and cardinals define different classes ...
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Transfinite induction   (translated from German)
Transfinite induction Transfinite induction is one Proof technology in that ... applies, then one proves the following with transfinite induction: P(0) is true. If A ... The second step is often divided with transfinite induction over ordinal numbers into two cases ...
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Transfinite recurrence   (translated from French)
Transfinite recurrence This article is one ébauche to ... can share your knowledge by modifying it. transfinite recurrence, also called under the English influence transfinite induction, allows to build objects and of ... introduced to avoid the use of ordinal transfinite). The ordinal ones for the null ones ... is noncountable). The whole of Construction by transfinite recurrence Demonstration by transfinite recurrence
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Transfinite induction   (translated from Russian)
Transfinite induction Transfinite induction - the method of proof, which generalizes ... innumerable number of values of the parameter. Transfinite induction is based on the following assertion ... n). Examples of the use of the transfinite induction In many instances transfinite induction is used together with by ...
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A transfinite number   (translated from French)
A transfinite number nombres transfinite is the numbers infinis discovered and explored ... they will not be let expel". The transfinite numbers have applications apart from mathematics little ... when one is interested in infinite sets. Transfinite ordinal numbers In théorie of the sets ... axiome of the infinite one . The first transfinite ordinal number is?, cf. alphabet Greek . ...
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User talk:Transfinite
User talk:Transfinite Welcome to the Wikipedia I noticed you ...
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Talk:Transfinite number
Talk:Transfinite number The method of presenting transfinite numbers looks deficient, because the symbols used ... that a better method of symbolizing these transfinite numbers is needed,symboles that should calculate ... visual characteristics. What sorts of things are transfinite numbers used for? I would find it ... was the one who coined the term "transfinite". And really it's the term ...
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Talk:Transfinite induction
Talk:Transfinite induction A needless redundancy may be here ... k) and S(k+1) terms for transfinite scenarios. The redunancy you're seeing is ... We should add a proof for the transfinite induction principle here. indirect proof: Suppose we ... ordinals]). And that contradicts our well-founding. Transfinite recursion Currently, transfinite recursion is a redirect here. That' ...
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