"There are more integers than there are even numbers."

ORLY?

Question

"There are more integers than there are even numbers."

ORLY?

unklerhaukus · Answer

kinda bro

anonymous · Answer

There Are

parthkohli · Answer

There are infinite integers.
There are infinite even numbers.

parthkohli · Answer

Even though one is a subset of the other, there are not more integers than odd numbers.

parthkohli · Answer

Both are infinite in count. Accept it.

anonymous · Answer

Umm, I'ma Look Up A Way To Prove Wrong lol

zarkon · Answer

you can put them into one-to-one correspondence

parthkohli · Answer

?

anonymous · Answer

zarkon · Answer

there is a bijection from the integers to the even numbers

parthkohli · Answer

Bijection?

zarkon · Answer

turingtest · Answer

you can map one set to the other

parthkohli · Answer

Oh, that.

parthkohli · Answer

Well, so what exactly is the proof?

zarkon · Answer

$$f(z)=2z$$

parthkohli · Answer

Yes, so?

zarkon · Answer

$f(z)$ above is a bijection between the integers and the even numbers.  Therefore the two sets are the same size

parthkohli · Answer

Knew it.

parthkohli · Answer

If they are the same size, then why do they say that there are more integers than even numbers?

unklerhaukus · Answer

maddness

zarkon · Answer

because they are wrong

turingtest · Answer

yeah, even I know that statement is dead wrong

parthkohli · Answer

lol

parthkohli · Answer

:)

unklerhaukus · Answer

more than i can count

zarkon · Answer

I started counting, but gave up half way  ;)

unklerhaukus · Answer

i only got to three, is that over half way?

turingtest · Answer

lol, gotta love a good math joke, there are so few

zarkon · Answer

yes...mine not being an example of a good joke :)