transfinite

English

Etymology

From German transfinit, coined by Georg Cantor, equivalent to trans- +‎ finite.

Pronunciation

• IPA^(key): /tɹænsˈfaɪnaɪt/

  • Audio (Southern England):

    (file)

Adjective

transfinite (not comparable)

1. Beyond finite.
2. (mathematics) Relating to transfinite numbers.

Derived terms

• transfinite induction
• transfinitely

Related terms

• finite
• infinite
• transfinity

Translations

beyond finite

• Finnish: transfiniittinen
• French: transfini (fr)
• German: transfinit (de)
• Italian: transfinito (it)
• Portuguese: transfinito m
• Spanish: transfinito

relating to transfinite numbers

• Finnish: transfiniittinen
• Kazakh: трансфинитті (transfinittı)
• Polish: pozaskończony

Noun

transfinite (plural transfinites)

1. A transfinite number.
   • 1973, Oliver Sacks, Awakenings:

     An interesting and perhaps essential formal model of this quality is to be found in Cantor's concepts of infinite sets and transfinite cardinals. The laws of ordinary, inductive mathematics do not apply to these, for the 'least part' of such transfinites are equal to the whole, and convey their infinite (i.e. world-like) quality.

German

Pronunciation

• Audio:

  (file)

Adjective

transfinite

1. inflection of transfinit:
   1. strong/mixed nominative/accusative feminine singular
   2. strong nominative/accusative plural
   3. weak nominative all-gender singular
   4. weak accusative feminine/neuter singular

Italian

Pronunciation

• IPA^(key): /tran.sfiˈni.te/
• Rhymes: -ite
• Hyphenation: tran‧sfi‧nì‧te

Adjective

transfinite

1. feminine plural of transfinito