So, you have 3 small apples, and 1 large apple.
How many apples do you have?

Does 3 apples x 3 apples make any sense when there are only 8 apples in existence?

And since we can never count to infinity, does infinity exist?
And if it doesn't, what happens to calculus?

Further, 1+1=2 is an assumption. It is not proven. It may not be provable.
2+2=4 was proven recently, as long as you assume 1+1=2 and that integers exist.

I can see what you are trying to get at, but reality is not as solid and set as one would like. There isn't a line where reality ends and imagination begins.

Or, in other words, half of our brains are on the other side of that line.