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last updated December 17th, 2004 and is permanently morphing...
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infinity
infinity (în-fîn´î-tê)
noun
plural infinities
Abbr. inf.
1. The quality or condition
of being infinite.
2. Unbounded space,
time,
or quantity.
3. An indefinitely large
number or amount.
4. Mathematics. The limit
that a function ƒ is said to approach at x = a when for x close to a, ƒ(x)
is larger than any preassigned number.
5. a. A range in relation
to an optical system, such as a camera
lens,
representing distances great enough that
light
rays reflected from objects within the range may be regarded as parallel.
b. A distance setting, as on a camera, beyond which the entire field is
in
focus.
Infinity
Infinity, mathematical term
in the theory of sets proposed by German mathematician Georg Cantor. Sets
are of two kinds, finite and infinite. The difference is whether the items
in a set can be matched one-to-one with the items in some proper subset.
A proper subset contains only items from a particular set, but not all
that set's items. The set [1, 2, 3] cannot be matched one-to-one with any
of its proper subsets; such a set is called a finite set. The set of all
even numbers can be matched one-to-one with the proper subset of all even
numbers except 2 and 4 by matching 2 with 6, 4 with
8,
and so on. Such a set is called an infinite set.
Some infinite sets can be matched together one-to-one. In other cases, an infinite set can be matched one-to-one only with a proper subset of another infinite set, and the second set is a "larger" infinity. For any set, finite or infinite, the set of its subsets is "larger" than the set.
Abstract relations: Number: Infinity
infinity (noun)
infinity, infinitude, infiniteness, boundlessness,
limitlessness, illimitability
infinite space, outer space, space
eternity, perpetuity
604
track _Boundless_ MP3
by
Prana
off of _Geomantik_ CDb
Other Forms
quantity: quotient, fraction, multiple, function, quantic,
vector, number, mathematics, plurality, fraction,
zero,
infinity
greatness: enormity, immensity, boundlessness, infinity
perpetuity: perpetuity, endless time, infinite duration,
infinity
space: unlimited space, infinite space, infiniteness, infinitude,
infinity
divine attribute: infinitude, infinity
Infinity
The poetic notion of infinity
is far greater than that which is sponsored by any creed.
Joseph Brodsky (1940-96),
Russian-born U.S. poet, critic. Interview in Writers at Work (Eighth Series,
ed. by George Plimpton, 1988), on the "worrying" fact that W. H. Auden
was a formal churchgoer in later life.
Poetry
Between religion's "this
is" and poetry's "but suppose this is," there must always be some kind
of tension, until the possible and the actual meet at infinity.
Northrop Frye (1912-91),
Canadian literary critic. Anatomy of Criticism, second essay, "Anagogic
Phase: Symbol as
Monad"
(1957).
The Unknown
Mystery has its own mysteries, and there are gods
above gods. We have ours, they have theirs. That is what's known as infinity.
Jean Cocteau (1889-1963), French author and filmmaker.
Anubis,
in The
Infernal
Machine, act 2 (1932; repr. in Collected Works, vol. 5, 1948).
God
God is the tangential point
between zero and infinity.
Alfred Jarry (1873-1907),
French playwright, author. Gestes et Opinions du Docteur Faustroll Pataphysicien,
bk. 8, ch. 41 (1911; repr. in The Selected Works of Alfred Jarry, ed. by
Roger Shattuck and Simon Watson Taylor, 1965).
Physics
To see a world in a grain
of sand
And a heaven in a wild flower,
Hold infinity in the palm
of your hand
And eternity in an hour.
William
Blake (1757-1827), English poet, painter, engraver. Auguries of Innocence,
in Poems from the Pickering Manuscript (c. 1808; repr. in Complete Writings,
ed. by Geoffrey Keynes, 1957).
What is history? Its beginning is
that of the centuries of systematic work devoted to the solution of the enigma
of death, so that death itself may eventually be overcome. That is why people
write symphonies, and why they discover mathematical infinity and
electromagnetic
waves.
Boris Pasternak (1890-1960),
Russian poet, novelist, translator. Nikolay Nikolayevich, in Doctor Zhivago,
ch. 1, sct. 5 (1957).
The Cosmos
Why I came here, I know not; where I shall go it
is useless to enquire- in the midst of myriads of the living & the
dead worlds, stars, systems, infinity, why should I be anxious about an
atom?
Lord Byron (1788-1824), English poet. Letter,
3 March 1814, to Annabella Milbanke, later Lady Byron (published in Byron's
Letters and Journals, vol. 4, ed. by Leslie Marchand, 1975).
Infinity
This
moment
exhibits infinite space, but there is a space also wherein all moments
are infinitely exhibited, and the everlasting duration of infinite space
is another region and room of joys.
Thomas Traherne (1636-74), English
clergyman, poet, mystic. Centuries, "Fifth Century," no. 6 (written c. 1672;
published 1908).
Infinity Dots Mirrored Room by Yayoi
Kasuma: Open a black, double door into a space with mirrored ceilings and walls.
The white formica floor is covered with three sizes of colored fluorescent dots.
The room is filled with black light. Reflected on ceiling and walls, you are
an integral part of the space.
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_Infinite Excursions_ compilation TIP (1996)
Lyserge and merge.
Thrill and chill!
Trip to TIP.
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_Infinite Excursions 2_ compilation on
TIP
(1997)
Infinite Excursions 3 – TIPWorld (1999) – TIPWCD02
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Infinity_ MP3 (192k)![]() |
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"If you want to stride into the
Infinite, move but within the Finite in all directions." -
Goethe
infinite adj.
[common] Consisting of a
large number of objects; extreme. Used very loosely as in: "This program
produces infinite garbage." "He is an infinite loser." The word most likely
to follow `infinite', though, is hair. (It has been pointed out that
fractals
are an excellent example of infinite hair.) These uses are abuses of the
word's mathematical meaning. The term `semi-infinite', denoting an immoderately
large amount of some resource, is also heard. "This compiler is taking
a semi-infinite amount of
time
to optimize my program." See also semi.
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infinite
loop
n.
One that never terminates
(that is, the machine spins or buzzes forever and goes catatonic). There
is a standard joke that has been made about each generation' exemplar
of the ultra-fast machine: "The Cray-3 is so fast it can execute an infinite
loop in under 2 seconds!"
Infinite-Monkey Theorem n.
"If you put an infinite number
of monkeys at typewriters, eventually one will bash out the script for
Hamlet." (One may also hypothesize a small number of monkeys and a very
long period of time.) This theorem asserts nothing about the intelligence
of the one random monkey that eventually comes up with the script (and
note that the mob will also type out all the possible incorrect versions
of Hamlet). It may be referred to semi-seriously when justifying a brute
force method; the implication is that, with enough resources thrown at
it, any technical challenge becomes a one-
banana
problem. This argument gets more respect since
Linux
justified the bazaar mode of development.
This theorem was first popularized
by the astronomer Sir Arthur Eddington. It became part of the idiom of
techies via the classic
SF
short story "Inflexible Logic" by Russell Maloney, and many younger hackers
know it through a reference in Douglas Adams's "Hitchhiker's Guide to the
Galaxy". On 1 April 2000 the usage
acquired its own Internet
standard,
http://www.ietf.org/rfc/rfc2795.txt
(Infinite Monkey Protocol Suite).
infinity n.
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 2^(N-1) - 1 but minus infinity is - (2^(N-1)), not -(2^(N-1) - 1). Note also that this is different from time T equals minus infinity, which is closer to a mathematician's usage of infinity.
- _The New
Hacker's
Dictionary_
by
Eric
S. Raymond
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If you read _Giordano Bruno and
the
Hermetic
Tradition_ you know that Bruno was burned at the stake and the reason that he
was burned at the stake is because he looked up at the sky and did not see the
stellar shells and the angelic hierarchies. Bruno had a mystical experience
and when it was over he said, "the universe is infinite. The stars go on forever."
That single statement was the intellectual dynamite that destroyed the whole
Medieval, Hellenistic, the entire previous cosmological vision was left behind
with that single statement. It was such a powerful statement that he had to
go to the stake for that. And we have never recovered from that perception.
It was a fundamental
perception
and it occurred because he looked without preconception into the night sky and
did not see wheels and demons and angels and shells of cosmic fate and necessity
and he just said, that's bullshit, what is there is infinite space, infinite
time,
the stars are hung like lamps onto the utmost regions of infinity. This, then,
inaugurates the beginning of modernity and it's a perception that arose on the
foundation
of all this earlier thinking.
-
Terence
McKenna lecture on
Alchemy