Yeah, I follow. I’ll bring up another wrinkle (which you may already be familiar with): Suppose the objective you’re maximizing never equals or exceeds 20. You can reach to 19.994, 19.9999993, 19.9999999999999995, but never actually reach 20. Then even though your objective function is bounded, you will still try to optimize forever, and may resort to increasingly desperate measures to eek out another .000000000000000000000000001.
Yes, this would happen if you take an unbounded function and simply map it to a bounded function without actually changing it. That is why I am suggesting admitting that you really don’t have an infinite capacity for caring, and describing what you care about as though you did care infinitely is mistaken, whether you describe this with an unbounded or with a bounded function. This requires admitting that scope insensitivity, after a certain point, is not a bias, but just an objective fact that at a certain point you really don’t care anymore.
Yeah, I follow. I’ll bring up another wrinkle (which you may already be familiar with): Suppose the objective you’re maximizing never equals or exceeds 20. You can reach to 19.994, 19.9999993, 19.9999999999999995, but never actually reach 20. Then even though your objective function is bounded, you will still try to optimize forever, and may resort to increasingly desperate measures to eek out another .000000000000000000000000001.
Yes, this would happen if you take an unbounded function and simply map it to a bounded function without actually changing it. That is why I am suggesting admitting that you really don’t have an infinite capacity for caring, and describing what you care about as though you did care infinitely is mistaken, whether you describe this with an unbounded or with a bounded function. This requires admitting that scope insensitivity, after a certain point, is not a bias, but just an objective fact that at a certain point you really don’t care anymore.