Wacky infinites headache

[Peegee]

..well not really if you understand it, but some people might get their brains to explode. I'm trying to do this here.

There's two ways to do this: the numbers way and the square way

Numbers way:

I will first prove that there are infinite real numbers between any two integers.

for any real number x between 0 and 1 (say, 0.5 or 0.25) you have another number x/2 or x/y where y is a real number. Doesn't matter. You can do this for any of them. Since you can progressively divide x / y^whatever, there's always another number.

I'll assume you understand. Moving on.

We now have established infinite numbers between 0 and 1. What about 1 and 2? 1 and 2 also has infinite numbers between them. The set is the same as the first set, with each number increased by 1.

But wait, we now have two sets of infinite numbers.

I now ask you. How many numbers between 0 and 2? The answer: infinity.

So we have infinite numbers between 0 and 1 and infinite numbers between 1 and 2 and infinite numbers between 0 and 2.

confusing the average person time: OMG THERE'S THE SAME AMOUNT NUMBERS BETWEEN 0 AND 2 AND 0 AND 1 AND 1 AND 2, EVEN THOUGH I CAN COUNT TWICE THE AMOUNT OF NUMBERS BETWEEN 0 AND 2 AND 0 AND 1 BY TRACING EACH NUMBER TO ITS CORRESPONDING POINT BETWEEN 1 AND 2 LOLOLOLOLOLOLOL

SQUARE METHOD

I have to do this fast cuz I posted too quick.

- infinite points in a line, right? (see number portion for proof)
- infinite points in 2nd line, right?
- how many points in a square?
- infinity? more than infinity? wtf?

solution to problem = where?



Actually don't answer that just yet. Maybe some people will post and go 'wtf my brain hurts'.

[CimminyCricket]

'wtf my brain hurts'.

[Flying Mullet]

Remember, ∞ + ∞ = ∞ and ∞ * ∞ = ∞. There's no such thing as 2∞ or something like it. Infinity is not a variable like x. Thus, the numbers between 0 and 1 are ∞ and 1 and 2 are ∞, or ∞ + ∞ = ∞.

I hope that makes sense.

[CimminyCricket]

Yeah it does, it just seemed as though he couldn't continue without someone saying "my brain hurts", so I said it.

[Peegee]

Remember, ∞ + ∞ = ∞ and ∞ * ∞ = ∞. There's no such thing as 2∞ or something like it. Infinity is not a variable like x. Thus, the numbers between 0 and 1 are ∞ and 1 and 2 are ∞, or ∞ + ∞ = ∞.

I hope that makes sense.

Intuitively this works, and anybody with an understanding of the term infinity knows this.

I'm messing with your brain by saying that there IS a 2∞ in reality if you look at the set of #s between 0 and 1 and 0 and 2

or between any two continuous sets of real #s actually.

If nobody answers the supposed "paradox" by tommorow I'll explain it.

[Flying Mullet]

I think I'll have several co-workers call the help desk, because apparently you have too much time on your hands.

[demondude]

'wtf my brain hurts'.

[escobert]

'wtf my brain hurts'.

[Peegee]

I think I'll have several co-workers call the help desk, because apparently you have too much time on your hands. :p

=( they made me work 60 mins overtime and I'm already at 26 mins out of the 60.

[Little Blue]

Remember, ∞ + ∞ = ∞ and ∞ * ∞ = ∞. There's no such thing as 2∞ or something like it. Infinity is not a variable like x. Thus, the numbers between 0 and 1 are ∞ and 1 and 2 are ∞, or ∞ + ∞ = ∞.

I hope that makes sense.

That's almost as cool as two space ships travelling towards each other with speed 0.9c relative to, say, the earth, yet their speed relative to each other is not 1.8c, but 0.99c.

Relativity = Brain Implosions

[Peegee]

Remember, ∞ + ∞ = ∞ and ∞ * ∞ = ∞. There's no such thing as 2∞ or something like it. Infinity is not a variable like x. Thus, the numbers between 0 and 1 are ∞ and 1 and 2 are ∞, or ∞ + ∞ = ∞.

I hope that makes sense.

That's almost as cool as two space ships travelling towards each other with speed 0.9c relative to, say, the earth, yet their speed relative to each other is not 1.8c, but 0.99c.

Relativity = Brain Implosions :D

hint: except infinites don't work that way. "2∞" != ∞ , when using my confusing stories.

[Raistlin]

It's a similar headache-problem to the one my math teacher told me in high school:

Say you're 50 feet away from a door. You move halfway towards it, you're at 25 feet. Then 12.5 feet, etc. Eventually you'll be around .5 feet, then .25 feet, then .125 feet, etc. If you keep moving halfway, do you ever reach the door?

[Lawr]

Remember, ∞ + ∞ = ∞ and ∞ * ∞ = ∞. There's no such thing as 2∞ or something like it. Infinity is not a variable like x. Thus, the numbers between 0 and 1 are ∞ and 1 and 2 are ∞, or ∞ + ∞ = ∞.

I hope that makes sense.

That's almost as cool as two space ships travelling towards each other with speed 0.9c relative to, say, the earth, yet their speed relative to each other is not 1.8c, but 0.99c.

Relativity = Brain Implosions

WHAT!?

BOOM!

[Peegee]

It's a similar headache-problem to the one my math teacher told me in high school:

Say you're 50 feet away from a door. You move halfway towards it, you're at 25 feet. Then 12.5 feet, etc. Eventually you'll be around .5 feet, then .25 feet, then .125 feet, etc. If you keep moving halfway, do you ever reach the door?

Except you know that the sum of x/n where n are the integers n > 0 = 1, so you know you get to the door.

[Raistlin]

Most people aren't familiar with Calculus, though.