Transfinite number

https://en.wikipedia.org/wiki/Transfinite_number

  • Transfinite numbers are numbers that are infinite, in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite

  • Transfinite cardinals are used to quantify the size of infinite sets

  • Transfinite ordinals are used to provide an ordering of infinite sets

  • The term "transfinite" was coined by Georg Cantor in 1915, who wished to avoid some of the implications of the word infinite in connection with these objects, which were, nevertheless, not finite. Nowadays, the term stays but they may be referred to as infinite numbers as well.

  • ℵ first transfinite cardinal

  • ℶ second transfinite cardinal

  • ℷ third transfinite cardinal

  • ℸ fourth transfinite cardinal

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