INFINITY • FREE-TRANSLATOR.COM • Definition of Infinity

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/ɪnfˈɪnəti/ /ɪnfˈɪnɪti/ Listen

noun

Infinity n. (pl. infinities)

1.

Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity. "There can not be more infinities than one; for one of them would limit the other."

2.

Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections.

3.

Endless or indefinite number; great multitude; as an infinity of beauties.

4.

(Math.) A quantity greater than any assignable quantity of the same kind. Note: Mathematically considered, infinity is always a limit of a variable quantity, resulting from a particular supposition made upon the varying element which enters it.

5.

(Geom.) That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity.

Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass.

Circular points at infinity. See under Circular.

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Etymology of 'Infinity'

Collaborative International Dictionary of English 0.48

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"Infinity" Quotes from Famous Books

... Flora. 'We all know it is a pity; but it would be a far greater pity to break it off now—and do Tom an infinity of harm. ...

— The Trial - or, More Links of the Daisy Chain • Charlotte M. Yonge

... while yet young. Some have been half-burned; one has been found half-digested in the stomach of a goat, and one boiled in a waistcoat-pocket by a laundress. No matter; the cashier at the bank will do his best to decipher it; he will indeed take an infinity of trouble to put together the ashes of a burned note, and will give the owner a new note or the value in coin, if satisfied of the integrity of the old one. The bank authorities preserve specimens of this kind as curiosities, minute fragments gummed in their proper position ...

— Scientific American, Vol.22, No. 1, January 1, 1870 • Various

... was entrusted to the Sieur Despagnet and I: we dedicated four months to the search, during which happened an infinity of unknown things, strange, and out of all belief, of which books written on the subject have never spoken: such for instance, as that the devil came and held his meetings at the gates of Bordeaux, and in the quarter of the Palais Gallien, which fact was declared ...

— Barn and the Pyrenees - A Legendary Tour to the Country of Henri Quatre • Louisa Stuart Costello

... experienced, is not of long duration. There is doubtless something solemn and imposing in the aspect of a boundless horizon, whether viewed from the summits of the Andes or the highest Alps, amid the expanse of the ocean or in the vast plains of Venezuela and Tucuman. Infinity of space, as poets in every language say, is reflected within ourselves; it is associated with ideas of a superior order; it elevates the mind which delights in the calm of solitary meditation. It is true, also, that every view of unbounded space bears a peculiar ...

— Equinoctial Regions of America V3 • Alexander von Humboldt

... had not been a prosperous one; but "he re-quickened justice, which had been a long while dead," says a chronicler devoted to the Duke of Burgundy; "he put an end to the tyrannies and exactions of the men-at-arms, and out of an infinity of murderers and robbers he formed men of resolution and honest life; he made regular paths in murderous woods and forests, all roads safe, all towns peaceful, all nationalities of his kingdom tranquil; he chastised the evil and ...

— A Popular History of France From The Earliest Times - Volume III. of VI. • Francois Pierre Guillaume Guizot

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