Hello Dr. Gibbs ... I'm glad you submitted an essay. I was beginning to wonder if you would join the party!
Essentially you argue that the various algebras are sophisticated enough to produce the observable cosmology and that the observable cosmology is large enough to produce us somewhere given enough time without a complete extinction event.
You present a pretty convincing argument. My only possible disagreement might concern the uniqueness of a similar set of occurrences. Just recently, it was announced that a nearby star (Trappist-1, distance = 40 LY) has 7 rocky planets similar to Earth and that 3 of those could be in the habitable zone. Within 20 LY, there are over 100 known stars ... within 40 LY that number is closer to 900. The most recent estimate for the number of stars in our galaxy is 1 trillion and 75% of those are red dwarfs similar to Trappist-1 (similar in size ... we don't know about planets).
With the universe being 13.8 billion years old and our solar system being 4.5 billion years of age, there has been more than enough time for similar histories to occur elsewhere, and there appear to be many places where these histories might occur ... which brings us to Fermi's Paradox.
Best Regards and Good Luck,
Gary Simpson