Word.ws English Dictionary

transfinite number

transfinite number noun: any cardinal or ordinal number which is larger than any finite, i.e. natural number; often represented by the Hebrew letter aleph (ℵ) with a subscript 0, 1, etc.

Noun

transfinite number (plural transfinite numbers)

  1. Any cardinal or ordinal number which is larger than any finite, i.e. natural number; often represented by the Hebrew letter aleph (ℵ) with a subscript 0, 1, etc.
    • It will be recalled that Cantor called the first transfinite number ℵ₀. He called the second transfinite number—the one describing the set of all real numbers— C. It has not been proved whether C is the next transfinite number after ℵ₀ or whether another number exists between them.1961, Jane Muir, Of Men and Numbers: The Story of the Great Mathematicians, Courier Dover Publications, →ISBN, page 228
    • Let R be a bicompact of dimensionality #92;operatorname#123;ind#125;(R)#92;le#92;alpha. If #92;alpha is an isolated transfinite number, than ^([sic]) at any point x#92;inR there exist arbitrarily small neighborhoods Vx with boundaries of dimensionality...1968, B. T. Levšenko, “Spaces of transfinite dimensionality”, in Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry, American Mathematical Soc., →ISBN, page 141

transfinite number meaning in Tamil

transfinite number in Tamil

மாற்றுமுடிவு எண்

Examples of transfinite number in a sentence

  • And until Cantor had introduced the order types of transfinite number classes, he could not define precisely any transfinite cardinal beyond the first power.1990, Joseph Warren Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite, Princeton University Press, →ISBN, page 180:
  • For example, does there exist a transfinite number that is strictly bigger than ℵ₀ and strictly smaller than ℵ₁?2009, John Tabak, Numbers: Computers, Philosophers, and the Search for Meaning, Infobase Publishing, →ISBN, page 153:

Forms of transfinite number

pluraltransfinite numbers

Questions about transfinite number

What does transfinite number mean?
Transfinite number means any cardinal or ordinal number which is larger than any finite, i.e. natural number; often represented by the Hebrew letter aleph (ℵ) with a subscript 0, 1, etc.
What is transfinite number in Tamil?
Transfinite number in Tamil is மாற்றுமுடிவு எண். See Transfinite number meaning in Tamil.
How do you use transfinite number in a sentence?
And until Cantor had introduced the order types of transfinite number classes, he could not define precisely any transfinite cardinal beyond the first power.
What part of speech is transfinite number?
Transfinite number is a noun.
What is the plural of transfinite number?
The plural of transfinite number is transfinite numbers.

Words near transfinite number in the dictionary

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

Source and license

Adapted from Wiktionary: transfinite number (page history and authors); transfinite number (Tamil Wiktionary) (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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