You say “the neural circuitry of anger is a reproductive organ as surely as your liver” and “the evolutionary purpose of anger is to increase inclusive genetic fitness.”
I don’t believe you have enough evidence to assert these statements. All you know is that “angry ancestors had more kids” but you DON’T know that it’s as a result of the anger. It could have happened that, say, the same ancestors that could run faster also happened to have the capacity for anger. As a result of their faster running, they reproduced/survived, and so did anger.
I liken this to classic studies on the effects of divorce on children. Of course, kids end up worse off with parents that divorce, but all else equal, divorce may very well be GOOD for the kid. Similarly, although here angry ancestors did have more kids, anger may very well be BAD for reproduction/survival. I’m sure there’s also a good cynical example, too, like that the reason the dollar was the dominant currency through the 20th century was because it was green.
Here’s the algorithm: given as input a Turing machine M with less than 400 states,
Compute a number k greater than BB(400).
Simulate M for k steps.
If it halts by then, then output “M halts”. If it doesn’t, then output “M doesn’t halt”.
Correctness proof: If it halts in less than k steps, then obviously it halts. If it doesn’t, then by the definition of BB(400), it never will.
Analysis of number of states: This is possible with 400+C states because you use about 400 states for step 1, and a constant number of overhead states for simulating Turing machines. Because there exist universal Turing machines with less than 25 states, you can arrange for C to be less than 100.
There’s a small amount of subtlety in actually doing step 1. Let me know if you want more detail. However, I believe the overall result and method should be clear; moreover, I hope the result is unsurprising once you see the method. As such, please don’t drop dead of shock.