Definition of transfinite in English:

transfinite

adjective transˈfʌɪnʌɪttrɑːns--nz-tran(t)sˈfīˌnīt

Mathematics

Relating to or denoting a number corresponding to an infinite set in the way that a natural number denotes or counts members of a finite set.
〔数〕超限的
Example sentencesExamples
- The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals.
- In 1905 Bernstein published an important article on transfinite ordinal numbers.
- In 1902 Zermelo published his first work on set theory which was on the addition of transfinite cardinals.
- The major achievement of the Grundlagen was its presentation of the transfinite numbers as an autonomous and systematic extension of the natural numbers.
- He denoted the number of natural numbers by the transfinite number (pronounced aleph-nought or aleph-null).

Rhymes

finite

Definition of transfinite in US English:

transfinite

adjectivetran(t)sˈfīˌnīt

1Mathematics
Relating to or denoting a number corresponding to an infinite set in the way that a natural number denotes or counts members of a finite set.
〔数〕超限的
Example sentencesExamples
- In 1902 Zermelo published his first work on set theory which was on the addition of transfinite cardinals.
- In 1905 Bernstein published an important article on transfinite ordinal numbers.
- He denoted the number of natural numbers by the transfinite number (pronounced aleph-nought or aleph-null).
- The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals.
- The major achievement of the Grundlagen was its presentation of the transfinite numbers as an autonomous and systematic extension of the natural numbers.
2Beyond or surpassing the finite.
Example sentencesExamples
- It's perfectly simple, I go in, perform the ritual, bask in the transfinite mysteries of the unknowable heatless void, and then we leave.

词汇	transfinite
释义	Definition of transfinite in English: transfinite adjective transˈfʌɪnʌɪttrɑːns--nz-tran(t)sˈfīˌnīt Mathematics Relating to or denoting a number corresponding to an infinite set in the way that a natural number denotes or counts members of a finite set. 〔数〕超限的 Example sentencesExamples The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals. In 1905 Bernstein published an important article on transfinite ordinal numbers. In 1902 Zermelo published his first work on set theory which was on the addition of transfinite cardinals. The major achievement of the Grundlagen was its presentation of the transfinite numbers as an autonomous and systematic extension of the natural numbers. He denoted the number of natural numbers by the transfinite number (pronounced aleph-nought or aleph-null). Rhymes finite Definition of transfinite in US English: transfinite adjectivetran(t)sˈfīˌnīt 1Mathematics Relating to or denoting a number corresponding to an infinite set in the way that a natural number denotes or counts members of a finite set. 〔数〕超限的 Example sentencesExamples In 1902 Zermelo published his first work on set theory which was on the addition of transfinite cardinals. In 1905 Bernstein published an important article on transfinite ordinal numbers. He denoted the number of natural numbers by the transfinite number (pronounced aleph-nought or aleph-null). The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals. The major achievement of the Grundlagen was its presentation of the transfinite numbers as an autonomous and systematic extension of the natural numbers. 2Beyond or surpassing the finite. Example sentencesExamples It's perfectly simple, I go in, perform the ritual, bask in the transfinite mysteries of the unknowable heatless void, and then we leave.
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