transfinite

From German transfinit, coined by Georg Cantor.

• IPA^(key): /tɹænsˈfaɪnaɪt/[1]

  • Audio (Southern England)

    (file)

transfinite (not comparable)

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

• transfinite induction
• transfinitely

• finite
• infinite
• transfinity

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.

• Audio

  (file)

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

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

transfinite

1. feminine plural of transfinito