If not in distance, in what sense are you saying the path is infinite?<quoted text>
None of your "proofs" are proof of anything. Having to imagine something doesn't mean it doesn't exist, a finite distance traveled on a path is not the path, which may be infinite, and physical reality does not rule out infinity. That's you ruling out infinity.
How long do you intend to keep making the same assertions? You don't seem to really care about exchanging ideas as much as you do about the logomachy.
You are proposing infinite distance by proposing an infinite path. That is the entire basis of the claim.
It's potential for being traversed is what makes it a path.
And what do we find by traversing the path? We find it to be finite. Always.
Continue traversing it? We find it to be finite.
I also disagree that having to imagine something doesn't mean it doesn't exist.
If it's limited to imagination, it does not exist.
Do you now realize you have been tricked into duplicating a God-Argument?