I love that even after millennia of human society and culture, I still regularly run into comments that make me think, “Yeah, that’s the first time anyone has ever said that.”
If the universe is truly infinite and as homogeneous as it appears to be, then an infinite amount of people had already said that, will say that and are saying it right now.
Infinite possibilities does not mean all possibilities. It is possible - even probable, in most cases - to have an infinite set which does not contain all possible members.
As an example, the set of all even numbers and the set of all whole numbers are both infinite sets with completely different contents. Even accounting for the fact that the set of all whole numbers contains the entire set of all even numbers, the two will still differ by a factor of 50%.
I love that even after millennia of human society and culture, I still regularly run into comments that make me think, “Yeah, that’s the first time anyone has ever said that.”
If the universe is truly infinite and as homogeneous as it appears to be, then an infinite amount of people had already said that, will say that and are saying it right now.
Infinite possibilities does not mean all possibilities. It is possible - even probable, in most cases - to have an infinite set which does not contain all possible members.
As an example, the set of all even numbers and the set of all whole numbers are both infinite sets with completely different contents. Even accounting for the fact that the set of all whole numbers contains the entire set of all even numbers, the two will still differ by a factor of 50%.
I think that Vsauce explains this concept a little better than I can as I am not a mathematician, I merely watch their content on the internet.