Transfinite may refer to:
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Transfinite number
In mathematics, transfinite numbers or infinite numbers are numbers that are " infinite" in the sense that they are larger than all finite numbers. These include the transfinite cardinals, which are cardinal numbers used to quantify the size of i ...
, a number larger than all finite numbers, yet not absolutely infinite
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Transfinite induction
Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers. Its correctness is a theorem of ZFC.
Induction by cases
Let P(\alpha) be a property defined for a ...
, an extension of mathematical induction to well-ordered sets
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Transfinite recursion
Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers. Its correctness is a theorem of ZFC.
Induction by cases
Let P(\alpha) be a property defined for a ...
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Transfinite arithmetic, the generalization of elementary arithmetic to infinite quantities
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Transfinite interpolation, a method in numerical analysis to construct functions over a planar domain so that they match a given function on the boundary
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