### What does **infinity** mean?

# Definitions for infinity

ɪnˈfɪn ɪ tiin·fin·i·ty

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **infinity**.

### Princeton's WordNet

eternity, infinitynoun

time without end

### Wiktionary

infinitynoun

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

infinitynoun

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

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.

infinitynoun

The symbol ∞.

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

### Samuel Johnson's Dictionary

Infinitynoun

**Etymology:**infinité, French; infinitas, Latin.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.*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.*

### Wikipedia

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 Dictionary

Infinitynoun

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

Infinitynoun

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

Infinitynoun

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

Infinitynoun

a quantity greater than any assignable quantity of the same kind

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

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

### Freebase

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 Dictionary

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 Contribution

infinity

A known number, symbol and amount.

Infinity always has existence.

Submitted by MaryC on February 22, 2020

### Suggested Resources

infinity

The infinity symbol -- In this

**Symbols.com**article you will learn about the meaning of the infinity symbol and its characteristic.infinity

Song lyrics by infinity -- Explore a large variety of song lyrics performed by infinity on the

**Lyrics.com**website.

### Numerology

Chaldean Numerology

The numerical value of infinity in Chaldean Numerology is:

**8**Pythagorean Numerology

The numerical value of infinity in Pythagorean Numerology is:

**7**

### Examples of infinity in a Sentence

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

**infinity**and flew towards him with eyes wide open, word and dream.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**.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!

### Popularity rank by frequency of use

## Translations for **infinity**

### From our Multilingual Translation Dictionary

- oneindigheidAfrikaans
- ما لا نهايةArabic
- অসীমAssamese
- অসীমBengali
- infinitatCatalan, Valencian
- nekonečnoCzech
- anfeidreddWelsh
- uendelighedDanish
- UnendlichkeitGerman
- άπειροGreek
- malfinioEsperanto
- infinito, infinidadSpanish
- lõpmatusEstonian
- infinituBasque
- بی نهایتPersian
- äärettömyys, ääretön, loputtomuus, rajattomuusFinnish
- infinité, infiniFrench
- éigríochIrish
- neuyerinaghtManx
- אֵינְסוֹףHebrew
- अनंत, अनन्तताHindi
- végtelenségHungarian
- անսահմանությունArmenian
- ananta, tak hingga, tak terbatasIndonesian
- óendanleikiIcelandic
- infinitoItalian
- אינסוףHebrew
- 無限大, 無限Japanese
- უსასრულობაGeorgian
- ಅನಂತKannada
- 無限, 무한Korean
- bêdawîKurdish
- infinitumLatin
- begalybėLithuanian
- bezgalībaLatvian
- tsiefaMalagasy
- അനന്തതMalayalam
- хязгааргүйMongolian
- अनंतMarathi
- infiniti, ketidakterhinggaanMalay
- oneindigheidDutch
- uendelighetNorwegian
- nieskończonośćPolish
- infinidade, infinitoPortuguese
- infinit, nesfârșit, infinitateRomanian
- бесконе́чность, безграни́чность, бесконечностьRussian
- agálašvuohtaNorthern Sami
- бесконачност, beskrajnost, bȅskonačnōst, бескрајностSerbo-Croatian
- pafundësiAlbanian
- ändlös, oändlighetstecken, oändlig, oändlighetSwedish
- முடிவிலிTamil
- అనంతంTelugu
- อนันต์Thai
- awangganTagalog
- sonsuz, sonsuzlukTurkish
- нескінченністьUkrainian
- انفینٹیUrdu
- cheksizlikUzbek
- vô cựcVietnamese
- ומענדיקייַטYiddish
- 无穷Chinese

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"infinity." *Definitions.net.* STANDS4 LLC, 2023. Web. 28 Mar. 2023. <https://www.definitions.net/definition/infinity>.

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