There is quite a lot to learn from Rome's stability, but of course it wasn't perfect. But I do believe there are evolutionary forces at play where stronger soci

There is quite a lot to learn from Rome's stability, but of course it wasn't perfect. But I do believe there are evolutionary forces at play where stronger societies displace weaker ones, and after the advent of writing, we can access the morality of long running societies and use that as an input into our own. This is a much more valuable inheritance from Rome than just the architecture or Latin alphabet. For example, rule of law (the Romans were fanatically legalistic) continues to be an important inheritance in the West, and the notion that there is something moral about following the rules and being a law-abiding citizen is an important part of the Western heritage. But you are right, the idea that you can come up with a quaint mathematical argument (and the mathematical insight here is pretty basic) as a replacement for studying history and philosophy is very foolish.