No one else had a problem with this part?
Not even close to proving the existence of God.
Well, yes and no. The article doesn't do a great job of describing Gödel’s model.
But the point, even as stated, is an interesting one. It is similar to an argument I have made for years regarding logically defining the existence of an after life that must exist if we believe a few simple non-controversial theories. Example:
1) The big bang has an unexplainable causation
2) The beginning of life was a probabilistic event
3) The evolution of man was the result of a long string of probabilistic events
4) The birth of Guille was a probabilistic event
5) The life of Guille has been a series of probabilistic events
6) Probability is the chance of a given occurrence happening in a finite amount of time
7) Time is infinite
8) Any event that is government by probability has a 100% chance of reoccurring given an infinite amount of time and will happen an infinite amount of times
Ta Da! A belief that the universe is always expanding, and therefor time being infinite, means you believe you will have life after death.
An alternative is to believe that time is finite but then you make it increasingly less likely that the creation of life was a chance occurrence.
I believe in God because I have seen the work of God in me and the lives around me, and if he doesn't exist it means that some really smart people thousands of years ago wrote a pretty amazing user manual for human civilization.