Dividing by Zero:

Total posts: [21]
1
1 ProfessorMetallica22nd Nov 2010 09:50:56 AM from The nth dimension! , Relationship Status: [TOP SECRET]
Shing!
Okay, so everybody knows that anything multiplied by zero is zero. 6x0=0. what if you reverse that? 0/0=6. of course, all numbers do this. 3x0=0. so, 0/0=3. therefore, if zero divided by zero is every number, then should 0/0= {R} (all real numbers) or infinity?
[LOUD STATIC]
0/0 should equal a set of all numbers, real or imaginary. Since that's meaningless and since that only works for dividing zero by zero, we just say it can't be done.
But soft! What rock through yonder window breaks? It is a brick! And Juliet is out cold.
3 Ponicalica22nd Nov 2010 03:36:28 PM from facing Buttercup
The division operator is defined on R (R\\{0}). Division by zero is undefined.
It's a straight vertical line so of course the range will be all reals. This isn't really new.
5 satannstuff26th Nov 2010 06:09:16 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
Dividing anything by zero should equal infinity, but it doesn't,(partly) because you can't apply math to infinity.
6 Tzetze26th Nov 2010 09:59:57 AM from a converted church in Venice, Italy
DUMB
No, not really. The limit of 1/0 is ∞ while the limit of -1/0 is -∞, and such. And you can too apply mathematics to infinity, it's just different.
7 satannstuff27th Nov 2010 04:57:51 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
Maybe I should rephrase that, you can apply math to infinity, you're just not going to get any meaningful results. Also, -∞ = ∞, because infinity is both positive and negative. ( So I'm still right. And how do you get the ∞ to come out? )

edited 27th Nov '10 5:04:41 AM by satannstuff

Like this: ∞

Also:

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
Check it out, it's a knotwork border for my post!
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞

Edit: Dammit.

edited 27th Nov '10 5:04:36 AM by BlackWolfe

But soft! What rock through yonder window breaks? It is a brick! And Juliet is out cold.
9 satannstuff27th Nov 2010 05:06:14 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
That's not very helpful, I just copied it from tzetze's post.
10 BlackWolfe27th Nov 2010 05:10:34 AM from Lost in Austin
That's what I'd done, but putting it in a pothole converts it over. Which is why the "dammit" edit.

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
becomes
∞ over and over

edited 27th Nov '10 5:10:55 AM by BlackWolfe

But soft! What rock through yonder window breaks? It is a brick! And Juliet is out cold.
11 Tzetze27th Nov 2010 10:13:49 AM from a converted church in Venice, Italy
DUMB
Maybe I should rephrase that, you can apply math to infinity, you're just not going to get any meaningful results.

Oh sure you can. 20 = ℵ1, for example.

edited 27th Nov '10 10:14:01 AM by Tzetze

12 satannstuff28th Nov 2010 04:14:23 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
You really want to go there?

ℵ0 = ∞

ℵ1 = ∞

ℵ0 = ℵ1 = ∞

The whole idea that you can define sets of infinity is just plain wrong. Both sets of numbers are infinite, if ℵ0 is infinite, and ℵ1 is infinite, both must be the same size. Just because the numbers in ℵ1 occur more frequently than those in ℵ0 doesn't mean there are more of them. You can't even describe infinity in terms of size or numbers because it is all sizes and numbers at once.

( Nothing personal, by the way, it's just that this transfinite stuff really bugs me. )

edited 28th Nov '10 4:18:42 AM by satannstuff

13 MajorTom28th Nov 2010 06:51:23 AM , Relationship Status: Barbecuing
Eye'm the cutest!
Anything divided by zero is inherently a hyperbolic equation and thus not a mathematical function at the asymptote.

However the asymptote of such equations has real solutions even when divided by zero. Simply put, you have three solutions: ∞, -∞, and 0. All at the same time. Which is why things puke up an error on calculators and computers and teachers tell you don't bother calculating. It's the same answers no matter how the equation is designed.
"Allah may guide their bullets, but Jesus helps those who aim down the sights."
14 Ponicalica28th Nov 2010 07:18:23 AM from facing Buttercup
You are wrong. There is no bijection between the set Z and the set 2Z, therefore they have different cardinality.
15 satannstuff29th Nov 2010 01:40:37 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
∞ = ∞

No matter how you try to divide it up, it's still infinite, size doesn't apply to infinity, to think that it does is just naive.
16 ProfessorMetallica29th Nov 2010 09:53:21 AM from The nth dimension! , Relationship Status: [TOP SECRET]
Shing!
Seriously, guys... I'm only taking algebra 1. I'm a freshman in high school. sad
[LOUD STATIC]
17 satannstuff30th Nov 2010 01:02:19 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
Don't worry, you're not going to have to learn this in high school. smile
18 Tzetze30th Nov 2010 09:47:25 AM from a converted church in Venice, Italy
DUMB
No matter how you try to divide it up, it's still infinite, size doesn't apply to infinity, to think that it does is just naive.

To think that it doesn't is denying about a century's worth of math. We can get useful results by recognizing different infinities.
19 satannstuff1st Dec 2010 01:02:55 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
A century's worth of math has failed to prove CH, if you want to try go right ahead, I'm not going anywhere.
20 Tzetze1st Dec 2010 08:10:07 AM from a converted church in Venice, Italy
DUMB
The continuum hypothesis? If all infinities are equal as you insist, CH isn't even possible to formulate.
21 satannstuff2nd Dec 2010 01:18:35 AM from squishy parts unknown , Relationship Status: I like big bots and I can not lie
the devil you know
That's my point. ( Nice avatar by the way, that's like your third, this week? tongue )

edited 2nd Dec '10 1:20:16 AM by satannstuff

The system doesn't know you right now, so no post button for you.
You need to Get Known to get one of those.

Total posts: 21
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