I know the answer to #1 and #2. I guess I know half of #3 because I don't know what potential infinity is. Yes, the #3 exists because I can point to it on the number line. I can use it in calculations. It can be the answer in a problem. The laws of nature exist independent of us humans. While we are here, we can observe them in action, but they will still work after we're gone--at least until the universe reaches its endpoint.
This was all writeen without looking to wikipedia; I have a bachelors in math with a 3.93 gpa, so I am pretty smart. You have a Ph.D., so I get that you probably know more than me in certain things. Having said that, my proof here is a proof of contradiction. It is a well established method of proof. My initial assumption of God existing ran into a contradiction. Hence, the initial assumption was incorrect. How well I understand how many points are in a line segment (aleph-1) or what's the difference between a valid proof and a sound one (a sound one is true) is irrelevant to whether or not the proof presented in this article is true or not.
I had time to think about this proof and get it correct. Now, I have had time to digest the many responses to the first paper on this proof to address the many things presented by people the first time 'round.