Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 noun The quality or condition of being infinite.
 noun Unbounded space, time, or quantity.
 noun An indefinitely large number or amount.
 noun Mathematics The limit that a function ƒ is said to approach at x = a when ƒ(x) is larger than any preassigned number for all x sufficiently near a.
 noun 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.
 noun A distance setting, as on a camera, beyond which the entire field is in focus.
from The Century Dictionary.
 noun The condition of being infinite or the greatest possible; immeasurableness; innumerability; perfection: as, the infinity of God; infinity of duration.
 noun Unlimited extension; figuratively, exhaustless quantity or number: as, inconceivable infinity; an infinity of details.
 noun In geometry, the part of space at an infinite distance from the part chiefly considered.
 noun An infinite number: as, an infinity of straight lines. Its symbol is ∞.
from the GNU version of the Collaborative International Dictionary of English.
 noun Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity.
 noun Unlimited capacity, energy, excellence, or knowledge.
 noun Endless or indefinite number; great multitude; as an
infinity of beauties.  noun (Math.) A quantity greater than any assignable quantity of the same kind.
 noun (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.
 noun an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass.
 noun See under
Circular .
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun Limitlessness, unlimitedness, something which is growing without limits or bounds.
 noun A number that has an
infinite numerical value that cannot be counted.  noun A number which is very large compared to some characteristic number. For example, in
optics , an object which is much further away than thefocal length of alens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.  noun The symbol
∞ .
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 noun time without end
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

So what I’m wondering is, does this mean that from the point of view of Schwarzschild coordinates, the object is behaving like a white hole from Schwarzschild time  infinity to 0, and then behaving like a black hole from Schwarzschild time 0 to +infinity?

Like the concepts of quantity, limit, boundary, the term infinity applies primarily to space and time, but not exclusively, as

While Dad hid in the back of the house all night, I laid awake on the living room couch next to the hospital bed, like summers when I was a kid and used to float on my back in the pool, trying to make sense of stars, and the uneasy feeling I got from the word infinity.

Now, with Bernie Madoff, what happened was what you call infinity scam.

In mathematics there is what we called infinity and "Design = Infinity".

In mathematics there is what we called infinity and "Design = Infinity".

The idea of summing all costs from here to infinity is preposterous, because we simply cannot know what the future will bring.
The Volokh Conspiracy » Would the Public Support “Cap and Refund”?

Its limit as time approaches infinity is sclerotic Brezhnevism.

All the different stories and opinions gathered together here glance off of one another like a hall of mirrors, but the figure reflected into infinity is that of the woman who continues to define herself more through her relationships than through her work.

All the different stories and opinions gathered together here glance off of one another like a hall of mirrors, but the figure reflected into infinity is that of the woman who continues to define herself more through her relationships than through her work.
oroboros commented on the word infinity
See: Poetrie: Infinity
March 13, 2007
oroboros commented on the word infinity
You're Infinity's
Local Representative.
Doesn't that feel great?
Stu Charno
December 13, 2007
marky commented on the word infinity
the brink of existence.
November 21, 2010
bilby commented on the word infinity
"...an imaginary nodal circle.."
January 26, 2013
fbharjo commented on the word infinity
...omega cone's skin...
January 26, 2013