Infinity * Zero = Any Number ARGUE HERE

[Tokzic]

Re: Infinity * Zero = Any Number ARGUE HERE

Anything^inf = inf

Who invents these rules. What a load of crap.

If I made you immortal and told you to take an undecayable calculator and hit 1 then *1 for all eternity, you would never see another number besides one.

Of course... there's probably some algebraeic way of proving me wrong. Someone find it or I'll continue to be convinced I'm right.

[ReikonKeiri]

Re: Infinity * Zero = Any Number ARGUE HERE

I have learned things from this thread.

[Shashakiro]

Re: Infinity * Zero = Any Number ARGUE HERE

Who invents these rules. What a load of crap.

Mathematicians.

If I made you immortal and told you to take an undecayable calculator and hit 1 then *1 for all eternity, you would never see another number besides one.

You would never reach an infinite number of presses that way.

Of course... there's probably some algebraeic way of proving me wrong. Someone find it or I'll continue to be convinced I'm right.

Would you settle for calculus?

No matter how convinced you are that you're right here, you aren't. All of higher math disagrees with you.

[lord_carbo]

Re: Infinity * Zero = Any Number ARGUE HERE

Infinity cannot be defined, which is why the invalid proof inf = ((inf)-(-inf))^2 is false.

But it can be used in arithemetic.

[Reach]

Re: Infinity * Zero = Any Number ARGUE HERE

If I made you immortal and told you to take an undecayable calculator and hit 1 then *1 for all eternity, you would never see another number besides one.

True. Hitting 1 forever doesn't equate to infinity though.

The reason why it's undefined in simple terms is because you don't know what infinity is. You're making a fallacious assumption when thinking 1^infinity means 1 times itself infinite times.

Infinity doesn't imply a number, what if infinity is a function? That's where the problem arises. Remember, infinity has no value, it just means to exist without bounds (existing everywhere at any given point in time). You can represent this unboundedness by any number of functions.


I suppose if you let x go to zero, lim hx^kx = (1+x)^(1/x) , then is that one?

No, no it's not. It's 1^infinity, but the answer is e. lny=(1/x)ln(1+x) , lny=ln(1+x)/x , dy/dx (H) = 1/1+x , let x go to 0, ln y= 1, y = e^1 = e

Contradiction! 1^infinity therefore does not have to equal 1...it can have any number of answers actually.

Hence the answer is undefined.

[Shashakiro]

Re: Infinity * Zero = Any Number ARGUE HERE

I suppose if you let x go to zero, lim hx^kx = 1+x^(1/x) , then is that one? It's 1^infinity, but the answer is e.

Contradiction! 1^infinity, therefore does not have to equal 1...it can have any number of answers actually.

Hence the answer is undefined.

Ah thanks, I knew there was a simple way to show it but I forgot what it was ><

[MilfeulleSakuraba]

Re: Infinity * Zero = Any Number ARGUE HERE

Who invents these rules.

The mathematicians in charge of math, of course!

Man, now I'm pissed that I changed that sig.

EDIT: Also I'm highly disappointed that a Control-F for "indeterminacy" in this topic yielded no results.

[A2_Sauce]

Re: Infinity * Zero = Any Number ARGUE HERE

what have i started

[MilfeulleSakuraba]

Re: Infinity * Zero = Any Number ARGUE HERE

You're started a journey down the road of knowledge. Embrace it.

EMBRACE IT, DAMN YOU.

[skyrunner06]

Re: Infinity * Zero = Any Number ARGUE HERE

o = o thats it infinety is an undetermined number it is larger than any other number its infinety

[A2_Sauce]

Re: Infinity * Zero = Any Number ARGUE HERE

so you are saying a googleplex^googleplex^googleplex is closer to one than infinity? But you should note, that Infiniti should be the largest possible number in the universe in any measurement... so it's not "technically" infinity, it's just the largest known number in the universe that any measurement will withhold assuming the universe is 4-dimensional. It's a lot like the speed of light... when you shoot a gun out a window while driving a car on the beltline, someone at rest on the beltline will view that bullet going it's speed relative to the driver plus how fast the car is moving. If i'm traveling at .8c (c=speed of light), and turn my headlights on(1c), the speed form a person at rest will view the light from my "ship" to be moving only at 1c, not 1.8c, which suggests and proves that c is the fastest speed in the universe.

[skyrunner06]

Re: Infinity * Zero = Any Number ARGUE HERE

yes but if infinity is the largest number possible than that would mean that it is larger or that it is undefined so there is no answer unles both are right wich i dont see how that is possible though if u were to go faster than light?hmmm

[tsugomaru]

Re: Infinity * Zero = Any Number ARGUE HERE

so you are saying a googleplex^googleplex^googleplex is closer to one than infinity? But you should note, that Infiniti should be the largest possible number in the universe in any measurement... so it's not "technically" infinity, it's just the largest known number in the universe that any measurement will withhold assuming the universe is 4-dimensional. It's a lot like the speed of light... when you shoot a gun out a window while driving a car on the beltline, someone at rest on the beltline will view that bullet going it's speed relative to the driver plus how fast the car is moving. If i'm traveling at .8c (c=speed of light), and turn my headlights on(1c), the speed form a person at rest will view the light from my "ship" to be moving only at 1c, not 1.8c, which suggests and proves that c is the fastest speed in the universe.

But you see, then we'd have to come up with a new term for an endless string of possible numbers (non-imaginary) and we'd have an argument over that word.

By giving infinity a definition, it loses its purpose in math.

~Tsugomaru

[Shashakiro]

Re: Infinity * Zero = Any Number ARGUE HERE

so you are saying a googleplex^googleplex^googleplex is closer to one than infinity?

Of course. Wouldn't be much of an infinity if a mere integer could compare to it.

But you should note, that Infiniti should be the largest possible number in the universe in any measurement... so it's not "technically" infinity, it's just the largest known number in the universe that any measurement will withhold assuming the universe is 4-dimensional.

Uh...what? Who said there had to be any physical representation on infinity in the real world for it to be used? It's merely a useful theoretical concept, not a practical quantity.

[skyrunner06]

Re: Infinity * Zero = Any Number ARGUE HERE

exactly and then we would have to redo all of math because it would change how everything works wouldent it? and then noone would know the answer so its an unanserable question right