Quote:
Originally Posted by GeeTwo
There are uncountably many even integers and uncountably many integers...
|
You are using the word "uncountably" incorrectly here.
The integers are countably infinite.
The reals are uncountably infinite.
Quote:
|
This does not change the equally meaningful statement that exactly half of the integers are even.
|
It's meaningful only if you define what you mean
If you mean "the set of all even integers has an asymptotic density of ½", then yes, it's meaningful. Otherwise, not.