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transfinite inductions

transfinite inductions is the plural of transfinite induction.

Meaning of transfinite induction

Noun

transfinite induction (plural transfinite inductions)

  1. An extension of mathematical induction to well-ordered sets of transfinite cardinality, such as sets of ordinal numbers or cardinal numbers.
    • The validity of the principle of transfinite induction for well-ordered sets enables us to carry out proofs by transfinite induction and definitions by transfinite induction. A proof by transfinite induction is a direct application of the principle when it is required to show that each element of a...1967, Kam-Tim Leung, Doris Lai-chue Chen, Elementary Set Theory, Parts I and II, Hong Kong University Press, page 108
    Synonyms:
    Noetherian induction, structural induction, well-founded induction

Questions about transfinite inductions

What is transfinite inductions the plural of?
Transfinite inductions is the plural of transfinite induction.

Words near transfinite inductions in the dictionary

  1. transfigureth
  2. transfiguring
  3. transfiguringly
  4. transfinite
  5. transfinite induction
  6. transfinite inductions
  7. transfinite number
  8. transfinite numbers
  9. transfinitely
  10. transfinites
  11. transfinity

Source and license

Adapted from Wiktionary: transfinite inductions (page history and authors); transfinite induction (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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