What is the highest number you can state?

[Kyle]

Nickmick, you can't do infinities, look at the last number.


-----Posted Added-----


I however can count to this number
∞ - 1
Which basically just beats out all of your number's by taking 1 from absolute ∞

 

[agentgonzo]

I however can count to this number
∞ - 1
Which basically just beats out all of your number's by taking 1 from absolute ∞

∞ - 1 = ∞, so you're not allowed it.

 

[pete.dakota]

That's still a concept of infinity, though, Kyle. You have to state a value, so your ∞ has to be finite.

 

[RisingFury]

∞ - 1 = ∞
∞ + 1 = ∞
∞ / 2 = ∞
∞ * 2 = ∞
∞^2 = ∞
sqrt(∞) = ∞

Right?


The binary representation of the biggest number I know of is
1111111111111111111111111111111111111111111111111111111111111111, decimal representation is
18 446 744 073 709 551 615
which is an unsigned long double

 

[flytandem]

Our 3 year old came up to us one day, and just blurted out... "I love you nine hundred" while holding her arms out like to hug a large tree trunk. That to me was about as high as someone can get with a number.

 

[Andy44]

Someone has already mentioned this thread is stupid, right? Just checking.

 

[Urwumpe]

Someone has already mentioned this thread is stupid, right? Just checking.

Not often enough I think.

Also, really cool are only people who can count to 1023 on their fingers.

 

[Eagle]

Also, really cool are only people who can count to 1023 on their fingers.

59048 is quite achievable too. I haven't the dexterity for higher than that.

 

[Kyle]

∞ - 1 = ∞, so you're not allowed it.

Who says if you take one away from infinite, thats one away from a number thats not infinite. I won. :lol:

 

[Urwumpe]

Who says if you take one away from infinite, thats one away from a number thats not infinite. I won. :lol:

Actually, the definition of infinite. If there would be a number x, where you could just add one and it becomes infinite, it would not be infinite at all (As it is still limited).

 

[Kyle]

Someone has already mentioned this thread is stupid, right? Just checking.

Hey, we play Orbiter, were obsessed with Math. Playing Orbiter got me an A in Calculus when I was in College back in 2005.

 

[RisingFury]

With your infinity math you've demonstrated here, I have to doubt your A grade :lol:

Joke

 

[Kyle]

With your infinity math you've demonstrated here, I have to doubt your A grade :lol:

Joke

Lol. I even got that A at the Naval Academy.

 

[agentgonzo]

∞ - 1 = ∞
∞ + 1 = ∞
∞ / 2 = ∞
∞ * 2 = ∞
∞^2 = ∞
sqrt(∞) = ∞

Right?

Correct

 

[Urwumpe]

But what is the result of ∞^-∞?

 

[agentgonzo]

But what is the result of ∞^-∞?

∞^-∞ = 1 / (∞^∞) = 1 / ∞ = 0

 

[Urwumpe]

∞^-∞ = 1 / (∞^∞) = 1 / ∞ = 0

Wrong... slightly. 1 / 0 or 1 / ∞ are not defined, but you can calculate the limit of a function x^-x

 

[James.Denholm]

What about...
∞
∞
?

 

[Urwumpe]

Or sin(∞)

 

[cjp]

Wrong... slightly. 1 / 0 or 1 / ∞ are not defined, but you can calculate the limit of a function x^-x

1 / ∞ not defined??? Very strictly speaking you may be right, but if I interpret it as lim(x->∞, 1/x), then it clearly is 0.

Similarly, you can calculate the limit of x^-x, or, more generally, x^-y. I added a graph of x^-y (see below) for the range [2:10]*[2:10]. As you can see, it goes to zero for every direction (x>0, y>0). I calculated the limit in some directions, and it all becomes zero, as long as x>1 and y>1. I forgot how to do the general case though.

If you can say that ∞/2 = ∞, then I think you can also say 1/∞ = 0 and ∞^-∞ = 0.