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infinite

   Also found in: Dictionary/thesaurus, Idioms, Wikipedia, Hutchinson 0.01 sec.
(mathematics)infinite - 1. Bigger than any natural number. There are various formal set definitions in set theory: a set X is infinite if

(i) There is a bijection between X and a proper subset of X.

(ii) There is an injection from the set N of natural numbers to X.

(iii) There is an injection from each natural number n to X.

These definitions are not necessarily equivalent unless we accept the Axiom of Choice.

2. The length of a line extended indefinitely.

See also infinite loop, infinite set.
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In infinite time, in infinite matter, in infinite space, is formed a bubble-organism, and that bubble lasts a while and bursts, and that bubble is Me.
Anna Karenina by Tolstoy, Leo View in context
for they may be fixed as in other arts; for the instruments of no art whatsoever are infinite, either in their number or their magnitude; but riches are a number of instruments in domestic and civil economy; it is therefore evident that the acquisition of certain things according to nature is a part both of domestic and civil economy, and for what reason.
A Treatise on Government by Aristotle View in context
"`God is a spirit, infinite, eternal and unchangeable, in His being, wisdom, power, holiness, justice, goodness, and truth,'" responded Anne promptly and glibly.
Anne Of Green Gables by Montgomery, Lucy Maud View in context
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