Infinity is big. There are infinitely many integers. But there is another infinity that’s so large, it is greater than the first infinity. Let’s call this infinity:2. There is an even greater infinity that can’t be matched up to infinity:2. It’s infinity:3. Infinity:3 is larger than the set of numbers. There are more…um…things in infinity:3 than there are numbers in the whole of existence.
So you can keep doing this until you get to infinity:infinity. But then you can do it all again so you have infinity:infinity:infinity. You can keep cycling until you have infinity:infinity….infinity:infinity, with an infinite number of infinities. But the number of infinities in the chain is only infinity:1. What if there are infinity:infinity infinities in the chain, or infinity:infinity….infinity:infinity infinities in the chain? And how many infinities are there in THAT chain? So you end up getting a number that is so incredibly big, it’s not even infinity. It’s a whole entire realm of number that cannot be defined in any way by anything, ever. I will call this number thing “infinitismo”. Nothing is bigger than infinitismo.
What do you think of this concept? Do you understand it?
It is really cool. 🙂
Where’s a crazy smiley when you need one?
Edit 8/2/09: This concept already exists, and it is known as “omega”.
Technically, the egg.
I assume that “egg” means “chicken egg”. Here’s why the egg came first:
Once upon a time, chickens were a different species. A bird of that different species laid an egg which had mutated DNA. That egg was the first chicken as we know them today. It was an egg before it was a chicken.
If the question is taken in a more metaphorical sense, it’s harder to say. Chickens were once bacteria that didn’t lay eggs. At some point there was a type of living organism that laid some egg-like thing. So you could say that the chicken came first, because there were living things before there were eggs, or even egg-like things. The first living things reproduced by splitting, not birth. Many living things still do that today, you just can’t see them.
Grammatically, the chicken came first, because it was first in that sentence. Ha ha ha, I’m so funny.