I hear your general point, and I don’t dispute it.
But I think your set theory analogy isn’t quite right. Consider the set R - [0,1] That’s all real numbers less than 0 or greater than 1. This is still uncountably infinite, and has equal cardinality to R, even though I removed the set [0,1], which is itself uncountably infinite.
I hear your general point, and I don’t dispute it.
But I think your set theory analogy isn’t quite right. Consider the set R - [0,1] That’s all real numbers less than 0 or greater than 1. This is still uncountably infinite, and has equal cardinality to R, even though I removed the set [0,1], which is itself uncountably infinite.
Edited to remove improper math. Thanks.