CoinCube,
You should re-phrase the description of your claim#1 and state that you cannot prove it. Then you can stop there.
Doing otherwise, you are just fooling yourself. If you care about the truth, you should double check each step in your logic before you proceed further.
BTW, the universe as we know it has infinities and probabilistic representations that are hard to represent by logic or arithmetic.
This is a very foolish statement to make.
Even pure mathematics which is the closest we can come to absolutely proving something is built on core basic assumptions that cannot be proven.
Honest arguments clearly lay out the assumptions they make and allow the reader to decide if they accept them or not. Dishonest arguments hide their assumptions or deny that any such assumptions exist.
You can for example chose to believe that the universe is illogical and cannot be described with mathematics and that any success with this approach so far is just a very long string of random occurance but this belief is quite hard to reconcile with science let alone common sense.