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Infinity vs Continuity - What's the difference?

infinity | continuity |

As nouns the difference between infinity and continuity

is that infinity is endlessness, unlimitedness, absence of end or limit while continuity is lack of interruption or disconnection; the quality of being continuous in space or time.

infinity

English

Noun

  • (label) Endlessness, unlimitedness, absence of end or limit.
  • A number that has an infinite numerical value that cannot be counted.
  • * {{quote-magazine, date=2012-01
  • , author=Michael Riordan , title=Tackling Infinity , volume=100, issue=1, page=86 , magazine= citation , passage=Some of the most beautiful and thus appealing physical theories, including quantum electrodynamics and quantum gravity, have been dogged for decades by infinities' that erupt when theorists try to prod their calculations into new domains. Getting rid of these nagging ' infinities has probably occupied far more effort than was spent in originating the theories.}}
  • An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.
  • (label) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.
  • (label) The symbol .
  • Usage notes

    In mathematics there are several different infinities; see transfinite.

    Antonyms

    * finity

    See also

    * eternal * eternity * transfinite

    continuity

    English

    Noun

  • Lack of interruption or disconnection; the quality of being continuous in space or time.
  • Considerable continuity of attention is needed to read German philosophy.
  • (uncountable, mathematics) A characteristic property of a continuous function.
  • *
  • A narrative device in episodic fiction where previous and/or future events in a story series are accounted for in present stories.
  • * {{quote-news
  • , year=2012 , date=April 29 , author=Nathan Rabin , title=TV: Review: THE SIMPSONS (CLASSIC): “Treehouse of Horror III” (season 4, episode 5; originally aired 10/29/1992) citation , page= , passage=In “Treehouse Of Horror” episodes, the rules aren’t just different—they don’t even exist. If writers want Homer to kill Flanders or for a segment to end with a marriage between a woman and a giant ape, they can do so without worrying about continuity or consistency or fans griping that the gang is behaving out of character.}}

    Antonyms

    * discontinuity

    Derived terms

    * discontinuity * sequential continuity * uniform continuity