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Abundant vs Infinite - What's the difference?

abundant | infinite | Related terms |

In mathematics terms the difference between abundant and infinite

is that abundant is being an abundant number, i.e. less than the sum of all of its divisors except itself while infinite is greater than any positive quantity or magnitude; limitless.

As adjectives the difference between abundant and infinite

is that abundant is fully sufficient; found in copious supply; in great quantity; overflowing while infinite is indefinably large, countlessly great; immense.

As a numeral infinite is

infinitely many.

abundant

English

Alternative forms

* (obsolete) abundaunt * (obsolete) habundaunt * (obsolete) habundant

Adjective

(en adjective)
  • Fully sufficient; found in copious supply; in great quantity; overflowing.
  • * [W]ith their magical words they [poets] bring forth to our eyesight the abundant images and beauties of creation. — Leigh Hunt, On the Realities of Imagination
  • Richly supplied; wealthy; possessing in great quantity.
  • * Abundant in goodness and truth. — Exodus, 34:6
  • (mathematics) Being an abundant number, i.e. less than the sum of all of its divisors except itself.
  • Usage notes

    * (richly supplied) Normally followed by the word in' or (obsolete) ' of .

    Synonyms

    * ample (see here for explanation of distinctions) * bountiful * copious * exuberant * liberal * overflowing * plenteous * plentiful * profuse * rich * teeming * See also

    Antonyms

    * rare * scarce * (math) deficient

    Derived terms

    * abundant number * abundantly * superabundant

    References

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    infinite

    English

    Adjective

    (en adjective)
  • Indefinably large, countlessly great; immense.
  • * , I.40:
  • The number is so infinite , that verily it would be an easier matter for me to reckon up those that have feared the same.
  • * (and other bibliographic particulars) H. Brooke
  • Whatever is finite, as finite, will admit of no comparative relation with infinity; for whatever is less than infinite is still infinitely distant from infinity; and lower than infinite distance the lowest or least cannot sink.
  • * (and other bibliographic particulars) Marlowe
  • infinite riches in a little room
  • * (and other bibliographic particulars) Milton
  • which infinite calamity shall cause to human life
  • Boundless, endless, without end or limits; innumerable.
  • * Bible, Psalms cxlvii. 5
  • Great is our Lord, and of great power; his understanding is infinite .
  • With plural noun: infinitely many.
  • * 2012 , Helen Donelan, ?Karen Kear, ?Magnus Ramage, Online Communication and Collaboration: A Reader
  • Huxley's theory says that if you provide infinite monkeys with infinite typewriters, some monkey somewhere will eventually create a masterpiece – a play by Shakespeare, a Platonic dialogue, or an economic treatise by Adam Smith.
  • (mathematics) Greater than any positive quantity or magnitude; limitless.
  • (set theory, of a set) Having infinitely many elements.
  • * {{quote-web
  • , year = 2009 , author = Brandon C. Look , title = Symbolic Logic II, Lecture 2: Set Theory , site = www.uky.edu/~look , url = http://www.uky.edu/~look/Phi520-Lecture7.pdf , accessdate = 2012-11-20 }}
    For any infinite set, there is a 1-1 correspondence between it and at least one of its proper subsets. For example, there is a 1-1 correspondence between the set of natural numbers and the set of squares of natural numbers, which is a proper subset of the set of natural numbers.
  • (grammar) Not limited by person or number.
  • (music) Capable of endless repetition; said of certain forms of the canon, also called perpetual fugues, constructed so that their ends lead to their beginnings.
  • Usage notes

    Although the term is incomparable in the precise sense, it can be comparable both in mathematics and set theory to compare different degrees of infinity, and informally to denote yet a larger thing.

    Synonyms

    * amaranthine * boundless * countless * endless * immeasurable * inestimable * interminable * limitless * unbounded * unlimited * vast

    Antonyms

    * finite * infinitesimal * limited

    Hyponyms

    * (set theory) countably infinite * (set theory) uncountable

    Derived terms

    * infinitely * infinitesimal * infinitude * infinity

    Numeral

    (head)
  • Infinitely many.
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