Hyper Dictionary

English Dictionary Computer Dictionary Video Dictionary Thesaurus Dream Dictionary Medical Dictionary

Search Dictionary:  

Meaning of INFINITE

Pronunciation:  'infunit

Matching Terms:  infinite impulse response, infinite loop, infinite monkey theorem, infinite set, infinitely, infiniteness, infinitesimal, infinitesimal calculus, infinitesimally, infinitival, infinitive, infinito, infinitude, infinituple, infinity

Computing Dictionary

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.

[jargon file]

Thesaurus Terms
 Related Terms: abysmal, ageless, algorismic, algorithmic, aliquot, all-comprehensive, all-inclusive, all-knowing, all-powerful, all-present, all-seeing, all-wise, almighty, ample, amplitudinous, astronomic, astronomical, Atlantean, awesome, bottomless, boundless, broad, Brobdingnagian, bulky, capacious, cardinal, ceaseless, changeless, coeternal, colossal, commodious, constant, continual, continuous, cosmic, countless, creating, creative, Cyclopean, dateless, decimal, deep, differential, digital, elephantine, endless, enormous, epic, eternal, eternally the same, eterne, even, ever-being, ever-durable, ever-during, everlasting, everliving, everywhere, exhaustless, expansive, exponential, extended, extending, extending everywhere, extensive, far-reaching, figural, figurate, figurative, finite, fractional, galactic, Gargantuan, giant, giantlike, gigantic, glorious, good, hallowed, Herculean, heroic, highest, holy, Homeric, huge, illimitable, illimited, imaginary, immeasurable, immemorial, immense, immortal, immutable, impair, impossible, incalculable, incessant, incomprehensible, indefinite, indestructible, indeterminable, indeterminate, inestimable, inexhaustible, infinitely continuous, innumerable, integral, interminable, interminate, irrational, jumbo, just, king-size, large, limitless, logarithmic, logometric, loving, luminous, majestic, making, mammoth, massive, massy, measureless, merciful, mighty, monster, monstrous, monumental, mountainous, multitudinous, negative, never-ceasing, never-ending, no end of, nonstop, nonterminating, nonterminous, numberless, numeral, numerary, numerative, numeric, numinous, odd, olamic, omnipotent, omnipresent, omniscient, one, ordinal, outsize, overgrown, pair, perdurable, permanent, perpetual, positive, possible, prime, prodigious, profound, radiant, radical, rational, real, reciprocal, roomy, sacred, sempiternal, shaping, shoreless, sizable, sovereign, spacious, spreading, steady, stupendous, submultiple, sumless, supreme, surd, termless, timeless, titanic, towering, transcendental, tremendous, ubiquitous, unbounded, unceasing, unchanging, uncircumscribed, uncountable, uncounted, undefined, undying, unending, unfathomable, unintermitting, uninterrupted, universal, unlimited, unmeasurable, unmeasured, unnumbered, unplumbed, unremitting, untold, vast, voluminous, weighty, wide, widespread, without bound, without end, without limit, without measure, without number