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Infinitesimal vs Substantial - What's the difference?

infinitesimal | substantial |

As adjectives the difference between infinitesimal and substantial

is that infinitesimal is infinitesimal while substantial is having to substance; actually existing; real; as, substantial life.

As a noun substantial is

anything having substance; an essential part.

infinitesimal

English

Adjective

(en adjective)
  • Incalculably, exceedingly, or immeasurably minute; vanishingly small.
  • *
  • (mathematics) Of or pertaining to values that approach zero as a limit.
  • (informal) Very small.
  • Usage notes

    * Strictly, this adjective, like infinite, is incomparable, so more infinitesimal' and '''most infinitesimal are proscribed, especially in the mathematical sense. However, these forms do occur in informal usage, where the ''very small (but measurable) sense is most common.

    Synonyms

    * See also

    Antonyms

    * infinite * enormous

    Noun

    (wikipedia infinitesimal) (en noun)
  • (mathematics) A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).
  • Antonyms

    * infinity

    Derived terms

    * infinitesimal calculus * infinitesimally

    substantial

    English

    Adjective

    (en adjective)
  • Having to substance; actually existing; real; as, substantial life.
  • Not seeming or imaginary; not illusive; real; solid; true; veritable.
  • * "to do some substantial good, is the compensation for much incidental imperfection" - Cardinal Newman, The Rise and Progress of Universities
  • Corporeal; material; firm.
  • Having good substance; strong; stout; solid; firm; as, substantial cloth; a substantial fence or wall.
  • possessed of goods or an estate; moderately wealthy; responsible; as, a substantial freeholder.
  • Large in size, quantity, or value; as, a substantial amount of money; vast
  • Most important; essential.
  • Ample or full.
  • A substantial amount of people in this buliding
  • Significantly great.
  • Derived terms

    * consubstantial * insubstantial * substantiality * substantially * substantialness

    Noun

    (en noun)
  • Anything having substance; an essential part.