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Singularity vs Infinity - What's the difference?

singularity | infinity |

As nouns the difference between singularity and infinity

is that singularity is the state of being singular, distinct, peculiar, uncommon or unusual while infinity is (label) endlessness, unlimitedness, absence of end or limit.

singularity

English

Noun

  • the state of being singular, distinct, peculiar, uncommon or unusual
  • * Addison
  • I took notice of this little figure for the singularity of the instrument.
  • * Sir Walter Raleigh
  • Pliny addeth this singularity to that soil, that the second year the very falling down of the seeds yieldeth corn.
  • a point where all parallel lines meet
  • a point where a measured variable reaches unmeasurable or infinite value
  • (mathematics) the value or range of values of a function for which a derivative does not exist
  • (physics) a point or region in spacetime in which gravitational forces cause matter to have an infinite density; associated with black holes
  • A proposed point in the technological future at which artificial intelligences become capable of augmenting and improving themselves, leading to an explosive growth in intelligence.
  • (obsolete) Anything singular, rare, or curious.
  • * Shakespeare
  • Your gallery Have we passed through, not without much content / In many singularities .
  • (obsolete) Possession of a particular or exclusive privilege, prerogative, or distinction.
  • * Hooker
  • No bishop of Rome ever took upon him this name of singularity [universal bishop].
  • * Bishop Pearson
  • Catholicism must be understood in opposition to the legal singularity of the Jewish nation.
  • (obsolete) celibacy
  • (Jeremy Taylor)

    Derived terms

    * nonsingularity * naked singularity

    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