Infinity

Infinity
Infinity In*fin"i*ty, n.; pl. {Infinities}. [L. infinitas; pref. in- not + finis boundary, limit, end: cf. F. infinit['e]. See {Finite}.] [1913 Webster] 1. Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity. --Sir T. More. [1913 Webster]

There can not be more infinities than one; for one of them would limit the other. --Sir W. Raleigh. [1913 Webster]

2. Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections. --Hooker. [1913 Webster]

3. Endless or indefinite number; great multitude; as an infinity of beauties. --Broome. [1913 Webster]

4. (Math.) A quantity greater than any assignable quantity of the same kind. [1913 Webster]

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. --Davies & Peck (Math. Dict.). [1913 Webster]

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. [1913 Webster]

{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}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Infinity — • The infinite, as the word indicates, is that which has no end, no limit, no boundary, and therefore cannot be measured by a finite standard, however often applied; it is that which cannot be attained by successive addition, not exhausted by… …   Catholic encyclopedia

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  • infinity — late 14c., from O.Fr. infinité infinity; large number or quantity (13c.), from L. infinitatem (nom. infinitas) boundlessness, endlessness, from infinitus boundless, unlimited (see INFINITE (Cf. infinite)). Infinitas was used as a loan translation …   Etymology dictionary

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  • infinity — [in fin′i tē] n. pl. infinities [ME infinite < OFr infinité < L infinitas] 1. the quality of being infinite 2. anything infinite; endless or unlimited space, time, distance, quantity, etc. 3. an indefinitely large number or amount 4. Geom.… …   English World dictionary

  • infinity — index perpetuity Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

  • infinity — [n] endlessness beyond, boundlessness, continuity, continuum, endless time, eternity, expanse, extent, immeasurability, immensity, infinitude, limitlessness, myriad, perpetuity, sempiternity, space, ubiquity, unlimited space, vastitude, vastness; …   New thesaurus

  • infinity — ► NOUN (pl. infinities) 1) the state or quality of being infinite. 2) a very great number or amount. 3) Mathematics a number greater than any assignable quantity or countable number (symbol ). 4) a point in space or time that is or seems… …   English terms dictionary

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