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Mathematics 7 Online
OpenStudy (anonymous):

is infinity a number?

OpenStudy (anonymous):

yes, it comes right before \(\infty +1\)

OpenStudy (anonymous):

|dw:1344027263587:dw|it goes on forever, there is no number that could ever reach an end. so no it's not a number.

OpenStudy (saifoo.khan):

im not even typing.

OpenStudy (anonymous):

infinity is everything yet nothing at the same time. its all of the posable numbers

OpenStudy (anonymous):

ok so if is the number what is\[\infty /\infty\]

OpenStudy (anonymous):

wow that makes infinity sound rather zen

OpenStudy (anonymous):

There once was a student from Trinity, Tried to take the square root of infinity. Whilst counting the digits Was seized with the fidgets. Gave up math and took up divinity. only clean limerick i know

OpenStudy (kinggeorge):

Unless you're using an extended version of the real numbers such as the hypperreals or the surreals where infinity is a number in some sort of weird sense, \(\frac{\infty}{\infty}\) is undefined.

OpenStudy (kinggeorge):

Even using surreal numbers I'm not sure \(\frac{\infty}{\infty}\) is strictly defined. Since those number systems may not have division.

OpenStudy (anonymous):

\[\infty/\infty=1\]

OpenStudy (anonymous):

anumber devidedby a number =1

OpenStudy (anonymous):

@ asdfghjkl8063 wat is 0/0

OpenStudy (kinggeorge):

@asdfghjkl8063 if we're in the real/complex numbers or any subset of those, \(\infty\) is not a number since \(\infty\notin\mathbb{R}\)

OpenStudy (anonymous):

1

OpenStudy (anonymous):

if you devide nothing by nothing you get somthing

OpenStudy (kinggeorge):

Division by 0 is undefined. If we could divide by 0, \(0=1\). And \(0=2\). And \(1=2\). The number system would collapse.

OpenStudy (anonymous):

Infinity (symbol: ∞) refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. Having a recognizable history in these disciplines reaching back into the time of ancient Greek civilization, the term in the English language derives from Latin infinitas, which is translated as "unboundedness".[1] 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).[2] For example, the set of integers is countably infinite, while the set of real numbers is uncountably infinite.

OpenStudy (kinggeorge):

Source: copy-pasted from http://en.wikipedia.org/wiki/Infinity

OpenStudy (anonymous):

true that

OpenStudy (anonymous):

\(\frac{\infty}{\infty}=2\) since the numerator is twice as big as the denominator

OpenStudy (anonymous):

:D

OpenStudy (anonymous):

infinity inseption

OpenStudy (anonymous):

\[\frac{\color{red}\infty}{\color{blue}\infty}=\color{green}\infty\]

OpenStudy (anonymous):

@satellite how do u know that the numerator is greater

OpenStudy (anonymous):

because it is infinity, so it is as large as i like it

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

ignore me i am just being silly infinity is not a number

OpenStudy (anonymous):

Sure it is, 8 just got drunk in a bar...

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