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Transfinite vs Countless - What's the difference?

transfinite | countless |

As adjectives the difference between transfinite and countless

is that transfinite is beyond finite while countless is too many to count; innumerable or incalculable.

As a noun transfinite

is a transfinite number.

transfinite

English

Adjective

(-)
  • Beyond finite.
  • (mathematics) Relating to transfinite numbers.
  • Noun

    (en noun)
  • A transfinite number.
  • * 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.

    References

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    countless

    English

    Adjective

    (head)
  • Too many to count; innumerable or incalculable
  • There is a countless number of stars