Transfinite induction
Transfinite induction Transfinite induction is an extension of mathematical induction to (large) well-ordered sets, for ...
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Transfinite induction   (translated from German)
Transfinite induction Transfinite induction is one Proof technology in that Mathematics , those of that natural numbers admitted Induction on arbitrary probably Quantities generalizes, for ...
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Transfinite induction   (translated from Russian)
Transfinite induction Transfinite induction - the method of proof, which generalizes matematicheskuyu induction in the case of the innumerable ...
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Talk:Transfinite induction
Talk:Transfinite induction A needless redundancy may be here. Suppose ... true, because a special case of the induction step is that if P(a) is ... k) and S(k+1) terms for transfinite scenarios. The redunancy you're seeing is that the induction step assumes P(0) is true ...
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Induction
Induction The term induction has more than one meaning in the English language. Please see: Induction in the fields of philosophy and logic ... in science and the scientific method. Mathematical induction is a method of proof in the field of mathematics. Strong induction, or Complete induction, is a variant ...
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∈-induction
∈-induction In mathematics, ∈-induction is a variant of transfinite induction, which can be used in set theory ... satisfy a given property P(x). The induction hypothesis is for every set x, ...
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Mathematical induction
Mathematical induction Mathematical induction is a method of mathematical proof typically ... as trees; this is known as structural induction. It is important to note that mathematical induction is a rigorous method of proof: there ... no degrees of uncertainty. In fact, mathematical induction is a type of deductive reasoning. ...
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Mathematical induction   (translated from Portuguese)
Mathematical induction This article meets partially in foreign language. Mathematical induction it is a method of mathematical test ... more common form simplest and of mathematical induction test that a statement valley for all ... 3. Form notices that this of mathematical induction is actually the special marries of the ... in fact the most form of mathematical induction and it can be shown that ...
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Induction (mathematics)   (translated from German)
Induction (mathematics) in that Logic if one means ... of special circumstances about general rules, see Induction (logic) Induction principle over natural number or "Conclusion of ... inductio (= Hereinfuehrung) off. Although also with the induction principle over natural number by the special ... inductive, but in deductive Principle. Historical The induction principle over natural number became first ...
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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 to ... introduced to avoid the use of ordinal transfinite). The ordinal ones for the null ...
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