The difference between Infinitesimal and Infinity

When used as nouns, infinitesimal means a non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number), whereas infinity means endlessness, unlimitedness, absence of a beginning, end or limits to size.


Infinitesimal is also adjective with the meaning: incalculably, exceedingly, or immeasurably minute.

check bellow for the other definitions of Infinitesimal and Infinity

  1. Infinitesimal as an adjective:

    Incalculably, exceedingly, or immeasurably minute; vanishingly small.

    Examples:

    "Do you ever get the feeling that you are but an infinitesimal speck, swallowed by the vastness of the universe and beyond?"

  2. Infinitesimal as an adjective (mathematics):

    Of or pertaining to values that approach zero as a limit.

  3. Infinitesimal as an adjective (informal):

    Very small.

  1. Infinitesimal as a noun (mathematics):

    A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).

  1. Infinity as a noun (uncountable):

    Endlessness, unlimitedness, absence of a beginning, end or limits to size.

  2. Infinity as a noun (countable, mathematics):

    A number that has an infinite numerical value that cannot be counted.

  3. Infinity as a noun (countable, topology, analysis):

    An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.

  4. Infinity as a noun (uncountable):

    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.

  5. Infinity as a noun (uncountable):

    The symbol ∞.

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