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You all need to Google Hilbert's Grand Hotel.
The number of odd integers, even integers, and integers are all equal.
(Well, the sets containing them all have the same cardinality, jeez you guys are pedantic)
No. 0 is technically an even number, so while odd numbers are infinite, even numbers are ∞+1. Weird, but thems the facts.
Negative. Infinity at infinite values essentially gobbles up constants.
A number beyond infinity or infinity + 1 requires numbers beyond numbers to have a plus 1 value.
It's horribly confusing but you can find some good articles on it all.
I understand what you're saying. I'm saying that 0 is an even number. Being that it has no opposite, there will always be more even numbers than odd numbers no matter how high you go.
Sadly, I know that makes sense for determinate values...but you will never know if infinity ends odd or even. So either it's 50/50 at the end or even wins by one, but it's impossible to determine which outcome is reality when dealing with infinity.
There is no end to infinity. Only a starting point.
The start point is irrelevant here: if you start at 0 then follow this train:
0 - even wins by 1
1 - even and odd tied
2 - even wins by 1
3 - even and odd tied
4 - even +1
5 - tied
...
Etc etc forever
It will never resolve, thus is indeterminate.
One time when I was hanging out in an underground opium den in a particularly seedy part of Lithuania I heard rumor of a supposed third kind of number which is neither even nor odd.
The third gender
I confirmed the existence of the third gender on that trip and if you get high like I do I highly recommend it.
I think you mean 0 it is neither even or odd
Hard to say I was on enough of a speed ball to kill John Belushi and Chris Farley with enough left over for Mitch Hedburg.