Definition of Transfinite. Meaning of Transfinite. Synonyms of Transfinite

Here you will find one or more explanations in English for the word Transfinite. Also in the bottom left of the page several parts of wikipedia pages related to the word Transfinite and, of course, Transfinite synonyms and on the right images related to the word Transfinite.

Definition of Transfinite

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Meaning of Transfinite from wikipedia

- Transfinite may refer to: Transfinite number, a number larger than all finite numbers, yet not absolutely infinite Transfinite induction, an extension...
- In mathematics, transfinite numbers or infinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers. These...
- importance of well-ordering is justified by the possibility of applying transfinite induction, which says, essentially, that any property that p****es on...
- Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers. Its...
- soon became known as Cantor's theorem. Cantor developed a theory of transfinite numbers, called cardinals and ordinals, which extended the arithmetic...
- In numerical analysis, transfinite interpolation is a means to construct functions over a planar domain in such a way that they match a given function...
- interest, a fact he was well aware of. Originally, Cantor's theory of transfinite numbers was regarded as counter-intuitive – even shocking. This caused...
- ordinal has a rank equal to itself. The sets in V are divided into the transfinite hierarchy Vα , called the ****ulative hierarchy, based on their rank....
- realized as subfields of the surreals. The surreals also contain all transfinite ordinal numbers; the arithmetic on them is given by the natural operations...
- can continue it to infinite ordinal numbers via transfinite recursion, thereby obtaining the transfinite derived series, which eventually terminates at...