Infnity is absent from mathematics because it is not an axiom, nor even a tool. As an enchanting sign, as a mandala of chained mystery, it is thrust unapologetically into our mathematical texts.

That’s not true. 1/0=infinity

One divided by nothing should still be one. I mean, you’re not really dividing it by anything.

And why would you even want to divide any thing by nothing anyway? Who came up with that?!

(this is why I hate math… there is a lot of bullshit going on in there)

Yes, but how big is it?

Re: OP: on the contrary, the mathematical world is swarming with infinities.

Well actually a mathematical rule is that you cannot divide by zero. 1/0 doesn’t result in any kind of infinity, just in [size=85]ERROR[/size]

0 goes into any number an infinite amount of times.

I know it sort of makes sense, but that’s not the fault of mathematicians.

I know it sort of makes sense, but that’s not the fault of mathematicians.

My teachers always said that anything divided by 0 is undefined, but I don’t see how that is any different from infinity.

Mr. Chaos, there is no such thing as “= infinity.” The correct way to say it is as x approaches 0 from the right, 1/x approaches infinity. There is no “=”

Pandora’s post made me spit water all over my computer screen. I was laughing too hard, had to wipe it off with my sock. Thanks Pandora, ur funny.

The simplest explanation for why one cannot divide by 0 is this:

division is the inverse of multiplication.

2 x 4 = 8

if you divide both sides by 4

2 = 8 / 4

you can do that operation with any set of numbers that does not include 0.

here’s what happens when 0 is involved.

6 / 0 = ?

multiply both sides by 0

6 = ? x 0

So, the ? is a number that, when multiplied by 0, results in 6. But we know that multiplying anything by 0 results in 0 every time…so how can there be a number for which this is not true?

Maybe you’ll say OH, infinity x 0 = 6, well then i’d present this to you:

8 / 0 = ?

8 = ? x 0

so infinity x 0 = 6, but now it also has to equal 8 by the same logic?

infinity x 0 could equal any number by that logic.

are there different kinds of infinity? is that what’s implied here? i don’t think so. i think all that’s implied is that things get fucked up when you divide by 0.

The simplest explanation for why one cannot divide by 0 is this:

division is the inverse of multiplication.

2 x 4 = 8

if you divide both sides by 4

2 = 8 / 4you can do that operation with any set of numbers that does not include 0.

here’s what happens when 0 is involved.6 / 0 = ?

multiply both sides by 0

6 = ? x 0So, the ? is a number that, when multiplied by 0, results in 6. But we know that multiplying anything by 0 results in 0 every time…so how can there be a number for which this is not true?

Maybe you’ll say OH, infinity x 0 = 6, well then i’d present this to you:

8 / 0 = ?

8 = ? x 0so infinity x 0 = 6, but now it also has to equal 8 by the same logic?

infinity x 0 could equal any number by that logic.

are there different kinds of infinity? is that what’s implied here? i don’t think so. i think all that’s implied is that things get fucked up when you divide by 0.

That makes sense to me now. That’s why undefined works and infinity doesn’t. Thanks for explaining that.

wiki: an attempt to divide by zero may, depending on the programming language and the type of number being divided by zero, generate an exception, generate an error message, crash the program being executed, generate either positive or negative infinity, or could result in a special not-a-number value (see below).

Positive and negative infinity? What the hell?! Where exactly is negative infinity? Up? Down? Left? Right? Forward? Back?

In another dimension/hyperspace?

Astral plane?

But we know that multiplying anything by 0 results in 0 every time.

Why?

Why does it have to be like that? Is 0 like a black hole, does it suck all the numbers in?

6 / 0 = ?

6?

6 = ? x 0

Then that’s impossible. If 0 sucks everything in nothing should be coming out.

There are a lot of arbitrary rules and hypotheticals in math. Like in religion and new age mysticism.

](*,)

I got that a lot from my math teacher.

this is going to sound really bad, but i dont think that you not understanding why something times 0 is always 0 is humorous. like it’s kinda pathetic. it’s really pathetic. i’ll explain, though.

the reason why anything times 0 is 0 is this:

think of multiplication as groups of things. 2 x 4 is like 2 bags of 4 apples. if you have 2 bags, each bag holding 4 apples, you have a total of 8 apples. if you have 4 bags each of 2 apples, you also have 8 apples. right?

what if you have 0 bags of 4 apples? how many apples do you have?

what if you have 4 bags each holding 0 apples?

One divided by nothing should still be one. I mean, you’re not really dividing it by anything.

And why would you even want to divide any thing by nothing anyway? Who came up with that?!

(this is why I hate math… there is a lot of bullshit going on in there)

Quite right. The idea that there is an infinite number of zero’s in 1 makes zero a quantity, which it isn’t. So 1/0 is a breakdown in signage.

The mathematicians here won’t agree, because, as I indicated, they are seduced into parroting the infinity platitude that “one divided by zero is, or generates, infinity” or some such.

Jakob:wiki: an attempt to divide by zero may, depending on the programming language and the type of number being divided by zero, generate an exception, generate an error message, crash the program being executed, generate either positive or negative infinity, or could result in a special not-a-number value (see below).

Positive and negative infinity? What the hell?! Where exactly is negative infinity? Up? Down? Left? Right? Forward? Back?

In another dimension/hyperspace?

Astral plane?

Humpty:But we know that multiplying anything by 0 results in 0 every time.

Why?

Why does it have to be like that? Is 0 like a black hole, does it suck all the numbers in?

6 / 0 = ?

6?

6 = ? x 0

Then that’s impossible. If 0 sucks everything in nothing should be coming out.

There are a lot of arbitrary rules and hypotheticals in math. Like in religion and new age mysticism.

I think so. What gets me is that showing the absurdity of infinity by showing 6 = ? x 0 is simply dismissed out of hand.

There is more fundamentalism and one-eyed blindness among mathematicians than in Nelson’s sighting of the armada.

Re: OP: on the contrary, the mathematical world is swarming with infinities.

wiki:[T]here are infinite sets of different sizes (called cardinalities). For example, the set of integers is countably infinite, while the set of real numbers is uncountably infinite.

Pandora:One divided by nothing should still be one. I mean, you’re not really dividing it by anything.

And why would you even want to divide any thing by nothing anyway? Who came up with that?!

(this is why I hate math… there is a lot of bullshit going on in there)

Well actually a mathematical rule is that you cannot divide by zero. 1/0 doesn’t result in any kind of infinity, just in [size=85]ERROR[/size]

There is no error, or sign for error, in mathematics. How does mathematicvs show an error?

How about 0 cubed divided by 0 squared times 0 squared divided by 0 cubed plus or minus infinity?

How about 0 cubed divided by 0 squared times 0 squared divided by 0 cubed plus or minus infinity?

What about “it”?