sphere fans seem to think all items of mass are drawn to eachother, but cannot explain why. Newton and Einstein couldn'

Incorrect. Newton couldn't, Einstein could (distortions in the four-dimensional spacetime, a geometry effect).

0.9 recurring = 1.

Prove me wrong. I dares ya.

Let

X=.11111...

10X = 1.111111111....

Therefore,

10X-X=1

9X=1

However, since we defined X to be .111.....

9X=.99999999....

;-)

so wait, if I propose this question in fractions format, what do I get? (purely for testing purposes)

[yes, I did just read through the full thread if you're wondering. I just went back from the start because I remember this being mentioned on the first page and wanted to quote it without having a hassle.]

Let

x = 1/9

10x = 10/9

Therefore, 10x-x = 9x, alternately, 9/9

and 9/9 = 1

However, since we defined X to be 1/9,

9x = 9/9

Eeh, it isn't as cool in fractions XD

I do have a question though, but not infinity-related

We have 3 people who rent a room for one day.

It costs $30/day. So, each of the 3 people pay $10, equally.

Accidentally, the receptionist charged them the wrong price, as they were ordering a different type of room. The actual price was $25/day.

So, the bellboy comes up and refunds them their $5. From their kindness, they let him keep $2.

Now, each of the 3 people have paid $9 instead of the $10 originally, and the bellboy has $2.

But 9x3+2 =/= 30.

...The fuck?

I know I proved this wrong somewhere, but I'll let someone else do it this time

There's a flaw of math somewhere in there, but I'm too lazy to find it right now.