infinite

Definitions

  • WordNet 3.6
    • adj infinite total and all-embracing "God's infinite wisdom"
    • adj infinite too numerous to be counted "incalculable riches","countless hours","an infinite number of reasons","innumerable difficulties","the multitudinous seas","myriad stars","untold thousands"
    • adj infinite having no limits or boundaries in time or space or extent or magnitude "the infinite ingenuity of man","infinite wealth"
    • adj infinite of verbs; having neither person nor number nor mood (as a participle or gerund or infinitive) "infinite verb form"
    • n infinite the unlimited expanse in which everything is located "they tested his ability to locate objects in space","the boundless regions of the infinite"
    • ***
Webster's Revised Unabridged Dictionary
  • Interesting fact: The infinite sign is called a lemniscate.
    • Infinite (Math) An infinite quantity or magnitude.
    • Infinite An infinity; an incalculable or very great number. "Glittering chains, embroidered richly o'er
      With infinite of pearls and finest gold."
    • Infinite (Mus) Capable of endless repetition; -- said of certain forms of the canon, called also perpetual fugues, so constructed that their ends lead to their beginnings, and the performance may be incessantly repeated.
    • Infinite (Math) Greater than any assignable quantity of the same kind; -- said of certain quantities.
    • Infinite Indefinitely large or extensive; great; vast; immense; gigantic; prodigious. "Infinite riches in a little room.""Which infinite calamity shall cause
      To human life."
    • Infinite That which is infinite; boundless space or duration; infinity; boundlessness. "Not till the weight is heaved from off the air, and the thunders roll down the horizon, will the serene light of God flow upon us, and the blue infinite embrace us again."
    • Infinite The Infinite Being; God; the Almighty.
    • Infinite Unlimited or boundless, in time or space; as, infinite duration or distance. "Whatever is finite, as finite, will admit of no comparative relation with infinity; for whatever is less than infinite is still infinitely distant from infinity; and lower than infinite distance the lowest or least can not sink."
    • Infinite Without limit in power, capacity, knowledge, or excellence; boundless; immeasurably or inconceivably great; perfect; as, the infinite wisdom and goodness of God; -- opposed to finite. "Great is our Lord, and of great power; his understanding is infinite .""O God, how infinite thou art!"
    • ***
Century Dictionary and Cyclopedia
    • infinite Immeasurably or innumerably great; so great as to be absolutely incapable of being measured or counted. Space is the most familiar example of an object ordinarily conceived to be infinite. Anaximander and other early Greek philosophers appear to have called this ἅπειρον, unbounded, and the Latin infinitum is a translation of this Greek word. The two ideas, that of the immeasurable and that of the unbounded, were confused by the early Greeks, and also by some modern philosophers, as Hobbes and Hegel. Ordinary geometry regards space as both unbounded and immeasurable; but the hypothesis of modern geometers concerning the properties of space, called elliptic non-Euclidean geometry, makes space measurable (in that it supposes that a point proceeding along a straight line, after having traversed a vast but finite distance, would return from behind to its original starting-point), and this supposition, which is entirely self-consistent, leaves space unbounded just as the surface of a spherical body, such as a pea, or the circumference of a circle is unbounded. But it is no more the usage of ordinary language than of mathematics to call the surface of a pea infinite. On the other hand, geometers conceive that if from an unbounded and immeasurable (infinite) right line a small part be cut off, what remains, having two terminals, is bounded but immeasurable; and in ordinary as in mathematical language such a line would be called infinite. Thus, the usual and mathematical meaning of the word infinite departs from the suggestion of its etymology. Mathematicians speak of the ratios of infinite quantities; such an expression supposes that the arrangement of the units or elements remains essentially unchanged in the measurement. Thus, a line two inches long, comprising an infinity of point, may be said to have twice as many points as one which measures only one inch and also comprises an infinity of points: but this only means that the former multitude appears twice as great as the latter when the points are not completely disintegrated. So orders of infinity are spoken of. (See infinitesimal.) These expressions have led metaphysicians to suppose that the infinite quantity of the mathematicians is not the maximum, and consequently is not truly infinite. But the points of a line, however short, can be brought into a one-to-one correspondence with those of all space—that is, for every point in all space there is a distinct and separate point in the line, and that although the space considered have an infinite multitude of dimensions; so that the multitude of points in a line is the greatest possible quantity. Mathematicians distinguish, however, two kinds of infinity. The multitude of finite whole numbers may be said to be infinite, since the counting of them cannot be completed. But the multitude of points upon a line, which corresponds to the multitude of numbers expressible by an infinite series of decimals, is infinitely greater, in that it cannot be brought into a one-to-one correspondence with the former. If ∞ represents the former multitude, 10 will represent the latter, so that the former is analogous to a logarithmic infinite, or infinite of order zero. The former is said to be improperly or discretely infinite, the latter properly or continuously infinite.
    • infinite All-embracing; lacking nothing; the greatest possible; perfect; absolute: applied only to Divinity.
    • infinite Boundless; unbounded; endless; without limit; interminable. In this sense the surface of a pea is infinite, while a plane of immeasurable extent whose continuity is interrupted by one small hole is finite.
    • infinite By hyperbole, indefinitely extensive; beyond our powers of measuring or reckoning.
    • infinite [Tr. Gr. ἀόριστος: see aorist.] In logic, modified, as a term, by a sign of negation.
    • n infinite Anything which is infinite, in any sense. Specifically— [cap. or lowercase] In philosophy, the Infinite Being; the absolute Deity.
    • n infinite A large number; a crowd.
    • n infinite In geometry, the plane on which lie all points at infinity and all straights at infinity.
    • ***
Chambers's Twentieth Century Dictionary
    • adj Infinite in′fin-it without end or limit: without bounds:
    • n Infinite that which is not only without determinate bounds, but which cannot possibly admit of bound or limit: the Absolute, the Infinite Being or God
    • n Infinite an infinitely small quantity
    • adj Infinite in′fin-it (math.) either greater or smaller than any quantity that can be assigned
    • ***

Quotations

  • Aldous Huxley
    Aldous%20Huxley
    “Most human beings have an infinite capacity for taking things for granted.”
  • Michael Monahan
    Michael Monahan
    “In making up the character of God, the old theologians failed to mention that He is of infinite cheerfulness. The omission has caused the world much tribulation.”
  • Johann Wolfgang Von Goethe
    Johann%20Wolfgang%20Von%20Goethe
    “Every situation, every moment -- is of infinite worth; for it is the representative of a whole eternity.”
  • Blaise Pascal
    Blaise%20Pascal
    “Evil is easy, and has infinite forms.”
  • Orison Swett Marden
    Orison%20Swett%20Marden
    “There is an infinite difference between a little wrong and just right, between fairly good and the best, between mediocrity and superiority...”
  • Lloyd Jones
    Lloyd Jones
    “The man who tries to do something and fails is infinitely better than he who tries to do nothing and succeeds.”

Etymology

Webster's Revised Unabridged Dictionary
L. infinitus,: cf. F. infini,. See In- not, and Finite

Usage

In literature:

What is reality but a state of soul, finite in man, infinite in God?
"Education and the Higher Life" by J. L. Spalding
It is infinite condescension in Jesus to love.
"Expositions of Holy Scripture" by Alexander Maclaren
Faith unites man with the Infinite, and no one can accomplish great things in life unless he works in oneness with the Infinite.
"Pushing to the Front" by Orison Swett Marden
Catie was not perfect; but, at least, she might be infinitely worse.
"The Brentons" by Anna Chapin Ray
The material organs of sense, especially the eye, wake up infinite thoughts in the mind.
"Harvard Classics Volume 28" by Various
We begin our reflections with the infinite itself.
"The Continental Monthly, Vol. 4, No. 1, July, 1863" by Various
Before us and behind us the great Cheechako army laboured along with infinite travail.
"The Trail of '98" by Robert W. Service
God waits with infinite patience for the confessions and the surrender of the contrite heart.
"Human Traits and their Social Significance" by Irwin Edman
That sense of security is infinitely precious.
"The Choice of Life" by Georgette Leblanc
Infinitives, explanation of; forms of; cases used with; rules for sequence of infinitive tenses; split.
"Practical Grammar and Composition" by Thomas Wood
What an infinite value the Lord attaches to one soul!
"My Daily Meditation for the Circling Year" by John Henry Jowett
He might be a fool, a puppy, an intolerably bore, an infinite ass.
"The Continental Monthly, Vol. 6, No 4, October, 1864" by Various
There are almost infinite methods and processes of getting the paint onto the surface.
"The Painter in Oil" by Daniel Burleigh Parkhurst
I have the infinite satisfaction of congratulating you on your brother's promotion.
"The Complete Project Gutenberg Works of Jane Austen" by Jane Austen
Therefore the idea of God, from which infinite numbers of things follow in infinite ways, can be one only.
"The Philosophy of Spinoza" by Baruch de Spinoza
INFLECTION OF THE INFINITIVE MOOD.
"The English Language" by Robert Gordon Latham
From its tones he learned to build for himself the infinite world of feeling, thus transcending the limits imposed by nationality.
"Romain Rolland" by Stefan Zweig
Again he glanced at Lucy, and saw a look of infinite subdued vexation, and some unwonted pallor on her cheek.
"Pierre; or The Ambiguities" by Herman Melville
Three months ago with what miserable groanings, what infinite self-pityings, I would have agreed.
"Fräulein Schmidt and Mr. Anstruther" by Elizabeth von Arnim
He planned it long and carried it out with infinite care as to details.
"The Strength of the Pines" by Edison Marshall
***

In poetry:

She told me of numberless worlds, that rolled
Through the measureless depths above,
Created by infinite might and power,
Supported by infinite love.
"A Thought Of The Stars" by Mary Gardiner Horsford
Ah! mine iniquity crimson hath been,
Infinite, infinite—sin upon sin:
Sin of not loving Thee, sin of not trusting Thee -—
Infinite sin.
"No, Not Despairingly Come I to Thee" by Horatius Bonar
I keep your memory near my heart,
My brilliant, beautiful guiding Star,
Till long live over, I too depart
To the infinite night where perhaps you are.
"Unforgotten" by Laurence Hope
Why is it that I am always neighbor
to those lost ones who are forced to sing
and to say: Life is infinitely heavier
than the heaviness of all things.
"The Neighbor" by Rainer Maria Rilke
By the time you swear you're his,
Shivering and sighing,
And he vows his passion is
Infinite, undying -
Lady, make a note of this:
One of you is lying.
"Unfortunate Coincidence" by Dorothy Parker
Years without number,
Ages of slumber,
Stiff in the track of the infinite One!
Dead, can I think it?
Dropt like a trinket,
A thing whose uses are done!
"Awake!" by George MacDonald

In news:

I sat down and played a few hours of BioShock Infinite yesterday.
Ain't what it used to be: Now the trusty fix-it stickum is a crafting and painting medium, available in infinite patterns and colors.
One minimal must-have look plus a slew of bold accessories equal infinite outfit possibilities.
See all previous episodes from The Infinite Monkey Cage.
Infinite Audio, Inc Hosts Open House for New West Coast Facility .
The "Tap Dogs" show features a seemingly infinite variety of tap routines built on, around, in, above and below a construction site set.
Watch The New 'BioShock Infinite' Gameplay Trailer.
BioShock Infinite's VGA 2012 trailer shows off the game's story and combat.
This trailer gives you a pretty good sense of BioShock Infinite's gameplay and atmosphere.
Today's Daily Inspiration : Infinite Possibilities.
America's best-selling author and speaker on transformational wisdom, Dr Wayne Dyer, presents a new definition of the concept of " intention " and a new method to connect to one's infinite potential.
Turn your life into an infinite, living memoir Tom Mooney Out on a Limb .
No, pistols do infinitely more harm than good.
Ever since the whole 'Harry Potter' franchise came into existence, our lives have become infinitely better.
Nikki Finke's Populist Taste: Part 1 In an Infinite Series.
***

In science:

Figure 3: Dispersion curves calculated using analytical (Eq. 1 blue) and numerically using HFSSv11 (extrapolated to infinite mesh) for the first CLIC ZC cell.
Rapid cavity prototyping using mode matching and globalised scattering matrix
Ryzhik, “Table of Integrals, Series and Products“. [Academic Press (1980); (3.197 (1)) [K]: Konrad Knopp. “Theory and Application of Infinite Series”.
Brief Research Notes on Transformation of Series and Special Functions
If 0 < a < b and a + b is odd, one may construct an infinite family of graphs with average degree 3 + a
Technical details regarding infinite families of crossing-critical graphs with prescribed average degree and crossing number
Let us consider the particular case v2=0, which is realized, for example, when the charged particle rotates about another charge with the infinite mass (one-body problem).
Going from Classical to Quantum Description of Bound Charged Particles Part 1: Basic Concepts and Assertions
Theory has focused on self-consistent bulk values.8,9 The transport gap12 Et = I(s) – A(s) for generating ions at infinite separation is also the photoconduction gap,13 while ion pairs are charge-transfer excited states of crystals.
Ionization potentials of crystalline organic thin films: Position dependence due to molecular shape and charge redistribution
A. Vectors and Vector Space We define a TS as a potentially infinite vector of values. In the rest of the article, we use n to denote the length of the TS.
XQ2P: Efficient XQuery P2P Time Series Processing
Eq. (1.17) diverges as a result of the fact that boarding of the levels due to electron-phonon coupling and due to electronelectron coupling are ignored. This results in an infinite rate of absorption into the biexcitonic states leading to unphysical estimation of the MEG efficiency.
Theory of multiexciton generation in semiconductor nanocrystals
Scaling of a GIF, JPG or PNG image will always reduce quality and for significant alteration of images a graphics software package is needed. SVG on the other hand is stored as plain text which can be edited with any text editor and due to its vector nature can be infinitely scaled.
Analysis of Using Browser-native Technology to Build Rich Internet Applications for Image Manipulation
I - a subset of algebraic irrationals, for example, 2 where the union IV U - is an infinite countable set of algebraic numbers.
Suppression of random noise by the separation of frequencies
On an infinite line of real numbers are a countably infinite set of algebraic numbers [13, pp. 48].
Suppression of random noise by the separation of frequencies
It follows that an infinite range of irrational transcendental frequency contains an infinite countable set of discontinuity points.
Suppression of random noise by the separation of frequencies
On an infinite line of real numbers, these seats are a countably infinite set of algebraic numbers [13, pp. 48].
Suppression of random noise by the separation of frequencies
It follows that an infinite range of irrational transcendental frequency contains an infinite countable set of discontinuity points.
Suppression of random noise by the separation of frequencies
On a subset of irrational numbers, transcendental notions T∈ω of mathematical analysis as an infinitely small quantity ωd , the derivative (spectral density) and the differential of the independent variable angular frequency ω does not exist.
Suppression of random noise by the separation of frequencies
Thus, the probability distribution function of angular frequency has only a discrete component, containing an infinite but countable set of stairs.
Suppression of random noise by the separation of frequencies
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