Definitions for infinity
ɪnˈfɪn ɪ tiin·fin·i·ty

Princeton's WordNetRate this definition:3.4 / 12 votes

1. eternity, infinitynoun

   time without end

WiktionaryRate this definition:3.6 / 5 votes

1. infinitynoun

   Limitlessness, unlimitedness, something which is growing without limits or bounds.

2. infinitynoun

   A number that has an infinite numerical value that cannot be counted.

3. infinitynoun

   A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.

4. infinitynoun

   The symbol ∞.

5. Etymology: From Latin infinitas, unlimitedness, from negative prefix in-, not, + finis, end, + noun of state suffix -tas

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Infinitynoun

   Etymology: infinité, French; infinitas, Latin.

   1. Immensity; boundlessness; unlimited qualities.

   There cannot be more infinities than one; for one of them would limit the other. Walter Raleigh, Hist. of the World.

   The better, the more desirable; that therefore must be desirable, wherein there is infinity of goodness; so that if any thing desirable may be infinite, that must needs be the highest of all things that are desired: no good is infinite but only God, therefore he our felicity and bliss. Richard Hooker.

   2. Endless number. An hyperbolical use of the word.

   has concealed faults under an infinity of admirable beauties. William Broome, Notes on the Odyssey.

   The liver, being swelled, compresseth the stomach, stops the circulation of the juices, and produceth an infinity of bad symptoms. John Arbuthnot, on Diet.

WikipediaRate this definition:0.0 / 0 votes

1. Infinity

   Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol ∞ {\displaystyle \infty } . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of all of its points, their infinite number (i.e., the cardinality of the line) is larger than the number of integers. In this usage, infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object. The mathematical concept of infinity refines and extends the old philosophical concept, in particular by introducing infinitely many different sizes of infinite sets. Among the axioms of Zermelo–Fraenkel set theory, on which most of modern mathematics can be developed, is the axiom of infinity, which guarantees the existence of infinite sets. The mathematical concept of infinity and the manipulation of infinite sets are used everywhere in mathematics, even in areas such as combinatorics that may seem to have nothing to do with them. For example, Wiles's proof of Fermat's Last Theorem implicitly relies on the existence of very large infinite sets for solving a long-standing problem that is stated in terms of elementary arithmetic. In physics and cosmology, whether the Universe is spatially infinite is an open question.

Webster DictionaryRate this definition:4.0 / 2 votes

1. Infinitynoun

   unlimited extent of time, space, or quantity; eternity; boundlessness; immensity

2. Infinitynoun

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

3. Infinitynoun

   endless or indefinite number; great multitude; as an infinity of beauties

4. Infinitynoun

   a quantity greater than any assignable quantity of the same kind

5. Infinitynoun

   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

6. Etymology: [L. infinitas; pref. in- not + finis boundary, limit, end: cf. F. infinit. See Finite.]

FreebaseRate this definition:3.0 / 1 vote

1. Infinity

   Infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin infinitas, which can be translated as "unboundedness", itself calqued from the Greek word apeiros, meaning "endless". In mathematics, "infinity" is often treated as if it were a number but it is not the same sort of number as the real numbers. In number systems incorporating infinitesimals, the reciprocal of an infinitesimal is an infinite number, i.e., a number greater than any real number. Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. In the theory he developed, there are infinite sets of different sizes. For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable.

The New Hacker's DictionaryRate this definition:5.0 / 1 vote

1. infinity

   1. The largest value that can be represented in a particular type of variable (register, memory location, data type, whatever). 2. minus infinity: The smallest such value, not necessarily or even usually the simple negation of plus infinity. In N-bit twos-complement arithmetic, infinity is 2N-1 - 1 but minus infinity is - (2N-1), not -(2N-1 - 1). Note also that this is different from time T equals minus infinity, which is closer to a mathematician's usage of infinity.

Editors ContributionRate this definition:0.0 / 0 votes

1. infinity

   A known number, symbol and amount.

   Infinity always has existence.

   
   

   Submitted by MaryC on February 22, 2020  

Suggested ResourcesRate this definition:0.0 / 0 votes

1. infinity

   The infinity symbol -- In this Symbols.com article you will learn about the meaning of the infinity symbol and its characteristic.

2. infinity

   Song lyrics by infinity -- Explore a large variety of song lyrics performed by infinity on the Lyrics.com website.

How to pronounce infinity?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say infinity in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of infinity in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of infinity in Pythagorean Numerology is: 7

Examples of infinity in a Sentence

1. Dejan Stojanovic:

   Infinity is the end. End without infinity is but a new beginning.

2. Jason Furman:

   I have a lot of people pushing me, why? Why does it need to be 80 (percent) as opposed to 120, or 40? What's the evidence? i have just lost my ability to have any economic conviction around that as an anchor. Definitely it should not go to infinity.

3. Mariana Fulger:

   I saw the infinity and flew towards him with eyes wide open, word and dream.

4. Mariana Fulger:

   We are destined to be roots, trunks, branches, and wings. When flying is out of reach, we are two hands of dirt closer to infinity.

5. Ganga Sagar Pant:

   If you always look down and dark, you have possibility of going to depression; you can change yourself towards light and colorful lives by looking up. Look at the sky, stars, galaxies, the infinity of the Universe..., you will start shining and twinkling as you are truly one among those!

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