[QUOTE=Bledrix;25380475]Since when did math involve letters??[/QUOTE]
Since like, the 7th year of school.
Infinity isn't a value. Infinity does not exists. It's been here for shit like S € ]-Infinity; 8[U]9; +Infinity[, but that's all.
[QUOTE=Kill001;25380301]Based on this simple equation (from wiki), actually, the variables can equal infinity too
much easier than the one above too[/QUOTE]
Not really what is saying is that infinity is undefined. Infinity is a concept, not a number.
Infinity * 0 = 0 ? You're giving a value to an arbitrary concept, you couldn't find infinity*2 could you? Doesn't make sense
2 * 0 = 0
0 * 0 = 0
Worded poorly sorry about typos on my phone
I didn't bother reading any of the math because I know its wrong.
[QUOTE=Radman;25380633]Sorry for asking and I may be wrong, because I didn't read the whole thing, but...
But isn't:
lim i => ∞ [S(i)-S(i-1)] = ∞-(∞-1) = ∞-∞
And if I remember my math lessons right, ∞-∞ is not defined in maths, meaning that it cannot be zero.
Then again I did not read the whole thing...[/QUOTE]
Yes, this was the first thing I considered too. I thought I multiplied infinity by 0 or subtracted infinity from infinity somewhere, but that's not the case.
n-n is defined, but ∞-∞ isn't. Regardless of whether n approaches infinity.
For example,
lim (3n - n) = lim 2n = ∞ is correct
but
lim (3n - n) = lim 3n - lim n = ∞ - ∞ is incorrect
GODDAMN IT! FAILING THE DIVERGENCE TEST DOES NOT MEAN THAT THE SERIES CONVERGES! You are incorrect.
[editline]13th October 2010[/editline]
[QUOTE=ThePuska;25380792]
lim (3n - n) = lim 2n = ∞ is correct
but
lim (3n - n) = lim 3n - lim n = ∞ - ∞ is incorrect[/QUOTE]
This is correct.
[QUOTE=Bledrix;25380475]Since when did math involve letters??[/QUOTE]
Since about the age 12 of children in school.
[QUOTE=Vita;25380542]Reminds me of this. Proof that 1+1 does not equal 2.
x = y
-x^2= -xy
x^2 - y^2 = x^2 - xy
(x + y)(x - y) = x(x - y)
x + y = x
1 + 1 =2
2 = 1[/QUOTE]
x-y equals to zero and you can't remove zero form multiplication/division
[QUOTE=Biotoxsin;25380731]Not really what is saying is that infinity is undefined. Infinity is a concept, not a number.
Infinity * 0 = 0 ? You're giving a value to an arbitrary concept, you couldn't find infinity*2 could you? Doesn't make sense
2 * 0 = 0
0 * 0 = 0[/QUOTE]
replace the 1 and 2 with any number on the equation I gave earlier
it still works
therefore it is possible that dividing be zero yields infinity (any number)
[QUOTE=ThePuska;25380219]
The limit of any series that converges must be 0, as indicated by the first proof, but in the case of at least this one series, it's also infinite.
What's wrong?[/QUOTE]
Yeah, here's your problem. Incorrect logic.
If the limit of the series =/= 0 the series diverges... The converse IS NOT TRUE (If the limit of the series is 0 the series converges is not a true statement). My professor sees this fallacy so much he has labeled it simply as "Error X" while grading papers.
[QUOTE=newbs;25380877]Yeah, here's your problem. Incorrect logic.
If the limit of the series =/= 0 the series diverges... The converse IS NOT TRUE. My professor sees this fallacy so much he has labeled it simply as "Error X" while grading papers.[/QUOTE]
Whoops. I meant to say that the limit of the last term of the series must be 0 if the series converges. In that form it's incorrect, that's true.
Simple mistake that shouldn't change the conclusion, because it's not the limits of the series that I calculated, but the last terms.
[QUOTE=newbs;25380877]Yeah, here's your problem. Incorrect logic.
If the limit of the series =/= 0 the series diverges... The converse IS NOT TRUE (If the limit of the series is 0 the series converges is not a true statement). My professor sees this fallacy so much he has labeled it simply as "Error X" while grading papers.[/QUOTE]
What? The limit of a series doesn't have to be 0 for it to converge. 1 + 1/2 + 1/4 + 1/8... = 2. That converges.
[QUOTE=BrQ;25380498]sounds like mathematical bullshit you made up because you're the only nerd who understands it[/QUOTE]
No, this is very real math. He made a mistake, and he is not correct. Yet, all the tools he's using to prove his theory based on a faulty assumption are correct.
Do you mean the limit of the sequence?
[QUOTE=JohnnyMo1;25380969]What? The limit of a series doesn't have to be 0 for it to converge. 1 + 1/2 + 1/4 + 1/8... = 2. That converges.[/QUOTE]
I'm talking about the divergence test...
[QUOTE=newbs;25380996]I'm talking about the divergence test...[/QUOTE]
There's like 10 of those
I need to take a look at limits again to be honest - it's been over two years since I last had a math lesson, but isn't it
x/0 = ∞
x/∞ = 0
Also works from logic. If you divide something into no parts, you get an infinite ammount of parts.
[QUOTE=wraithcat;25381062]I need to take a look at limits again to be honest - it's been over two years since I last had a math lesson, but isn't it
x/0 = ∞
x/∞ = 0[/QUOTE]
The limit as x goes to zero is only infinity if x approaches zero through positive numbers
Uh.. This confuses me.
Math is a concept created by us, humans. Hell, it might not even exist. Since its created by us humans, then there would obviously be flaws...
[QUOTE=Flubadoo;25381184]Math is a concept created by us, humans. Hell, it might not even exist. Since its created by us humans, then there would obviously be flaws...[/QUOTE]
Rebuttal Part 1: Numbers exist in an objective sense and math is simply a way of describing them
Rebuttal Part 2: Based on the laws we've defined for mathematics there are no flaws in it. If you're doin' it right things will come out right.
[QUOTE=Kill001;25380696]Isn't the point of mathematical equations (in this case) is to accurately point out the outcome?
if that was the case, then if you wanted the number 1 off a mathematical equation (for example) then 2-1 or 1+0 works too right? Similar thing here :rolleyes:[/QUOTE]
No.
0x2=0 would be just as wrong as Ax2=A your way.
Both sides need to be equal for an equation to work.
It amazes me how correctly math can be used to describe and predict this universe despite the fact that it doesn't seem to concern itself with reality in any way in its definitions
[QUOTE=Flubadoo;25381184]Math is a concept created by us, humans. Hell, it might not even exist. Since its created by us humans, then there would obviously be flaws...[/QUOTE]
Yeah man. If we would have differrent math having 3 apples and eating one will leave you with 4 apples.
To bad we tought of a boring kind of math where 3-1=2.
I will invent new math to create apples and become rich!
Oh god I love limits.
[QUOTE=OnDemand;25381377]Oh god I love limits.[/QUOTE]
They make me hard
[QUOTE=ThePuska;25381305]It amazes me how correctly math can be used to describe and predict this universe despite the fact that it doesn't seem to concern itself with reality in any way in its definitions[/QUOTE]
Thats because the math we use to describe things is base upon our observations.
The outome is good enough but never exactly right due to the fact that we dont know all the forces in the universe.
Newtonian mechanics are based on observations.
Quantum mechanics try's to understand why our observation are what they are.
You can't do ∞ - ∞ = 0. It's just not defined. It's the same as if you were dividing by zero, that also isn't defined.
Divide it by zero!
[QUOTE=DrLuke;25381449]You can't do ∞ - ∞ = 0. It's just not defined. It's the same as if you were dividing by zero, that also isn't defined.[/QUOTE]
Actally.
1/0=∞
Fake edit:
err 1=0*∞ ???
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