What is...
 

Half of infinity?


Is it even possible since infinity is not an actual number?

Half of infinity is ∞/2

Well yes, in an algebraic equation that's what it would be..

As far as you are concerned, any operation performed on infinity is still infinity.

Half of infinity is still infinity, perhaps just a different magnitude of infinity.

Not all infinities are the same. One infinity can be bigger than another.

That statement is meaningless.

Not true.

Functions can approach infinity at different rates. Infinity, however, is a concept and not a number. You can not half it.

Explain two black holes, one of which is bigger. Both are infinitely dense, but one is bigger.

One may be more massive, however our mathematics is not qualified to make predictions about their density at the singularity.

Infinity is not a quantity, therefore you cannot have half of it. Omega, the largest integer, however, is a quantity and you can describe half of it in the language that originally defined it.

Thats what math class told me too.

As for the black hole questions K_A presented, how can you measure a concept? Im going to assume that you cant, because density and mass of an "infinite" object cannot be measured with our understanding of mathmatics. Maybe someday in the future, we will be able to calculate infinity and put different limits on it to actually make it a number instead of a concept.

I would suggest that infinity does not exist, then. The things that are "infinity" right now, such as black holes, perhaps are just things we cannot measure therefore we assume they are infinite.

Thats a good solution. People's assumptions are just exaggarated (sp).

Well, that is the opinion of an overwhelming majority of physicists. An infinity does not arise in the physical world -- if it does it is a flaw in our conceptualization of the physical phenomenon. Infinity is purely a mathematical construct.

Well according to wikipedia, Omega is 800, but how is 800 the highest possible number?

Though maybe just a coincidence that the 8 from 800 turned on its side is the infinity symbol..

http://en.wikipedia.org/wiki/Omega

"In mathematics, the Omega constant, a solution of Lambert's W function; or the first uncountable ordinal number (also known as ω1) "

You really suck ass at reading.

Infinity is just a number math teachers in Junior high use to describe a line plot that doesn't end, lmao.

What's up with the hostile flame for no reason? I'm simply trying to ask a question and you just have to bash me for your own personal pleasure..

Why don't you grow the fuck up and actually act like a "Moderator"

Like MJ has said, infinity is a concept. You can't halve it.

Oh I thought you we're talking to me. But yeah basically you just can't half infinity.. simple as that... if you needed to show it on paper just write down inifinty/2 or ∞/2 like Grav said.

Alright cool, thanks for the explaination guys besides !K_A!'s random pointless insult.

Pi could be infinite...? It's been calculated to over 1 trillion places, and I think thats as far as we can get for now. Also, if it isn't infinite then whats half of Pi, it can't be said.

Pi cannot be infinite, it is an irrational number, possessing an infinite number of nonrepeating decimal values.

My hands have 10 fingers, but that doesn't make my hands equal to 10.

Vollstrecker is correct. Pi has an infinite number of digits. But so does the integer '1'. It is 1.000000 (0's repeating), or .9999999999999 (9's repeating). Pi can be halved, and that value can be expressed. It can not be expressed exactly as an irrational number, however it can be expressed as an infinite sum if you integrate a geometric series.

If someone wants the proof to that, I can write that out if they want. It requires knowledge of integral calculus.

Eh. I tried.

Errr... no. Hahahaha!

Still if infinity is a concept whos to say .9999999999 couldn't be an example of it?

I'm not sure what you're talking about. PI divided by an integer is very commonly used in trig, for example.

Because the definition of the concept is entirely different.

pi = Circumference of a circle divided by its diameter.

cha! cha!

WW or some programmer write me a quick program that will divide any 2 numbers and will give out infinite digits past the decimal place plz.

Thanks!

You cannot have an example of infinity in numerical form because you cannot assign it a value, because once you do it is no longer infinite, it's a specific number.

An irrational number can be an example of infinity in the sense that the decimal values never stop, however the number itself is a specific location on the number line.

If you want to think about it in some terms, think of it like this:
Pi is still a number on the number line, so it's value is (somewhat) known. Infinity encompasses every point on the number line at the same time, so you could even say that the number line itself would be an example of infinity.

lim 3.x ≠ ∞
x->∞

If that was a question?