**Infinity** (symbol: ∞) 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 derived from the Greek word *apeiros*, meaning "endless".

In mathematics, "infinity" is often treated as if it were a number (i.e., it counts or measures things: "an infinite number of terms") 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 (called cardinalities). For example, the set of integers is countably infinite, while the set of real numbers is uncountably infinite.

Read more about Infinity: History, Physics, Logic, Computing, Arts and Cognitive Sciences

### Other articles related to "infinity":

... this corresponds to intersecting the line at

**infinity**in either 2 distinct points (corresponding to two asymptotes) or in 1 double point (corresponding to the axis of a parabola), and thus the real hyperbola is a more ... Geometrically, the line at

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... H-

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... The character, created by Jim Starlin and George Pérez, first appeared in The

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**Infinity**- Arts and Cognitive Sciences

... artwork utilizes the concept of imaginary vanishing points, or points at

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**infinity**in his work in this and other ways ... scientist George Lakoff considers the concept of

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... As a consequence, logb(x) diverges to

**infinity**(gets bigger than any given number) if x grows to

**infinity**, provided that b is greater than one ... For b < 1, logb(x) tends to minus

**infinity**instead ... When x approaches zero, logb(x) goes to minus

**infinity**for b > 1 (plus

**infinity**for b < 1, respectively) ...

### Famous quotes containing the word infinity:

“We must not suppose that, because a man is a rational animal, he will, therefore, always act rationally; or, because he has such or such a predominant passion, that he will act invariably and consequentially in pursuit of it. No, we are complicated machines; and though we have one main spring that gives motion to the whole, we have an *infinity* of little wheels, which, in their turns, retard, precipitate, and sometime stop that motion.”

—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

“New York, you are an Egypt! But an Egypt turned inside out. For she erected pyramids of slavery to death, and you erect pyramids of democracy with the vertical organ-pipes of your skyscrapers all meeting at the point of *infinity* of liberty!”

—Salvador Dali (1904–1989)

“As we begin to comprehend that the earth itself is a kind of manned spaceship hurtling through the *infinity* of space—it will seem increasingly absurd that we have not better organized the life of the human family.”

—Hubert H. Humphrey (1911–1978)