Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • adjective Going beyond the finite.

from The Century Dictionary.

  • Beyond the finite.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective Beyond finite.
  • adjective mathematics Relating to transfinite numbers.
  • noun A transfinite number.

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

From German transfinit, coined by Georg Cantor

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Examples

  • Must try and explain transfinite post-capitalist economic theories to someone else one of these days, see if they think I'm talking out of my arse ....

    February 26th, 2003 2003

  • They suck in infinite, recursively looping, transfinite time.

    Why the Star Wars Prequels Are Actually Good (Part 1) 2009

  • Indeed, between non-Euclidean geometry in the 1820s, abstract algebra in the mid-1800s, and transfinite numbers in the 1880s, it had begun to seem like mathematics was a kind of universal framework for abstraction.

    Wolfram Blog : Stephen Wolfram on the Quest for Computable Knowledge 2009

  • Anyway, the result of the criticism was that Gentzen changed without further ado the proof into a third proof that uses the now famous principle of transfinite induction up to the first epsilon-number.

    Chores 2009

  • Therefore transfinite induction to ε0 is not derivable.

    Chores 2009

  • Had I gone in with any assumptions about probable topics of conversation, they would have involved a discussion of neo-Platonism, arguments about Rousseau and a lecture on transfinite infinities, not how much of a shame it was that Firefly was cancelled.

    Visiting Oxford « shattersnipe: malcontent & rainbows 2009

  • Had I gone in with any assumptions about probable topics of conversation, they would have involved a discussion of neo-Platonism, arguments about Rousseau and a lecture on transfinite infinities, not how much of a shame it was that Firefly was cancelled.

    2009 October 27 « shattersnipe: malcontent & rainbows 2009

  • Then he showed directly that transfinite induction up to the first epsilon-number ε0 is expressible but not provable in the system.

    Chores 2009

  • Had I gone in with any assumptions about probable topics of conversation, they would have involved a discussion of neo-Platonism, arguments about Rousseau and a lecture on transfinite infinities, not how much of a shame it was that Firefly was cancelled.

    2009 October « shattersnipe: malcontent & rainbows 2009

  • Whether it was St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicize his vision of transfinite numbers, infinity's fascination was as much with the characters involved as the maths they were wrestling with.

    Archive 2009-06-01 Brian Clegg 2009

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