If I were one of the top athletes on the planet, I would demand my number be Pi. Is that irrational?
The Lance Armstrong/PED debacle in cycling sounds like the whole thing was an endemic arms race. And Armstrong came out on top because he was more ruthless and more committed to PEDs and the process than the others. At least that’s the impression I’ve always had after it became obvious that PEDs were rampant in the sport. I think this is the same mentality present in people who don’t want gun control, and of course it’s the same mentality countries adopt militarily. It’s a fundamental human impulse, like it or not, one that always threatens to escalate out of control.
However, that which is fundamentally human is not necessarily fundamental in Nature. Things can change.