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Finity vs Infinite - What's the difference?

finity | infinite |

As nouns the difference between finity and infinite

is that finity is (rare|uncountable) the state or characteristic of being limited in number or scope while infinite is infinity, endlessness.

finity

English

Noun

(finities)
  • (rare, uncountable) The state or characteristic of being limited in number or scope.
  • * 1874 , , Idolatry: A Romance , ch. 31:
  • He was calm in the conviction that he could measure and calculate the universe. . . . He matched finity against the Infinite.
  • * 1899 , , "The White Silence":
  • Nature has many tricks wherewith she convinces man of his finity .
  • * 1987 , , Time, the Familiar Stranger , ISBN 9780870235764, p. 37 (Google preview):
  • In a very non-Aristotelian fashion, Nicholas of Cusa produced a synthesis of finity and infinity.
  • * 2006 , Rolf A. F. Witzsche, Universal Divine Science: Spiritual Pedagogicals , ISBN 9781897046944, p. 106 (Google preview):
  • We . . . labor to find our identity in the infinite in spite of our encumberment in finity .
  • (rare, countable) Something which is limited in number or scope.
  • * 1734 , , "A Brief Scheme of Ontology" in Philosophical Essays on Various Subjects (6th edition, 1794), p. 370 (Google preview):
  • Disagreement in substance or essence . . . may be called Disproportion, as there is a disproportion between finities and infinities, i.e. there is no proportion between them.
  • * 1837 Sep. 2, "The Transcendalist's Dialogues: No. IX," The Shepherd , vol. 3, no. 10, p. 79 (Google preview):
  • If we imagined a person capable of comprehending infinity, we should merely think that he was able infinitely to add up finities .
  • * 1884 Jan., "Prayer and Science," Methodist Quarterly Review , 4th series, vol. 66, p. 8 (Google preview):
  • And this condescension of infinite Perfection to the finities —to their imperfections, contingencies, and littlenesses—is the very result of its perfection.

    Synonyms

    * boundedness * finitude * finiteness * limitedness

    Antonyms

    * infinity * unlimitedness * endlessness

    References

    * Oxford English Dictionary , 2nd ed., 1989.

    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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