So I found out today that apparently you can get different sized infinities. My argument goes like this:
Say you flip a coin an infinite number of times. The probability of getting, say, four heads in a row is 1. It is definitely going to happen, given the number of times the coin is flipped. By the same argument, the probability is 1 that ten heads in a row will show up. And twenty. And a million. But also, an infinte amount of heads, since there's infinite time to do it in.
So, I argued, the chances of getting an infinite number of heads, with an inifinite number of flips is 1. Surely that would mean that the possibility of getting a tails at any time is 0 (which obviously isn't true).
My maths friends told me it's something to do with different sized infinities, so that even though there are two infinities involved, one is bigger than the other. Which is why the probability of getting a tails is not 0. What?
I don't know, it made me think is all.
In other news: a) Drinking tea and beer only staves off hunger for so long, b) Real food is expensive and c) Toast is a life saver.
Don't am stupid,