And now I'm trying to remember the proof that real numbers are uncountable. I think I may have done something before that proved that the irrational numbers between 0 and 1 were uncountable, which is clearly a sufficient proof, but I don't remember how I did it exactly.
The simplest proof that I can remember right now is to assume that they are countable, and give some enumeration of them. Then you can make a real number by putting in the tenths place any digit but what's there in the first real number in your enumeration, putting in the hundredths place anything but the hundredths digit in your second real number, and so on. You end up creating a real number between 0 and 1 that can't possibly be in your enumeration.
BWAH!
For math-impaired me, this thread has become:
Blah, Blah, Blah BOOBIES Blah, Blah, Blah, Blah Blah BOOBIES. Blah, Blah, Boobies, Blah Blah.
Sophia and I are reading the same thread!
Sophia and I are reading the same thread!
Oh good, then there's still time for my boobiemoticon. I was going to be more timely with it, but I had to go to the technology thread to figure out how to do it here, because the board handles code differently from the place where I suggested it. A friend is getting a breast reduction, and was looking for a suitable emoticon. I proposed these (hope they work here):
Before
..
.
^
(.)(.)
After
..
.
U
(·)(·)
"What? She killed them with mathematics, what else could it have been?"
Annnnnd...Topic!
She blinded ME with science.
Good (albeit complex) emoticon, Cindy!
