you mention « restrictive », my understanding is that you want this expression to specifically refers to pure predictors. Correct?
Goal agnosticism can, in principle, apply to things which are not pure predictors, and there are things which could reasonably be called predictors which are not goal agnostic.
A subset of predictors are indeed the most powerful known goal agnostic systems. I can’t currently point you toward another competitive goal agnostic system (rocks are uselessly goal agnostic), but the properties of goal agnosticism do, in concept, extend beyond predictors, so I leave the door open.
Also, by using the term “goal agnosticism” I try to highlight the value that arises directly from the goal-related properties, like statistical passivity and the lack of instrumental representational obfuscation. I could just try to use the more limited and implementation specific “ideal predictors” I’ve used before, but in order to properly specify what I mean by an “ideal” predictor, I’d need to specify goal agnosticism.
I’d be happy if you could point out a non competitive one, or explain why my proposal above does not obey your axioms. But we seem to get diminished returns to sort these questions out, so maybe it’s time to close at this point and wish you luck. Thanks for the discussion!
Goal agnosticism can, in principle, apply to things which are not pure predictors, and there are things which could reasonably be called predictors which are not goal agnostic.
A subset of predictors are indeed the most powerful known goal agnostic systems. I can’t currently point you toward another competitive goal agnostic system (rocks are uselessly goal agnostic), but the properties of goal agnosticism do, in concept, extend beyond predictors, so I leave the door open.
Also, by using the term “goal agnosticism” I try to highlight the value that arises directly from the goal-related properties, like statistical passivity and the lack of instrumental representational obfuscation. I could just try to use the more limited and implementation specific “ideal predictors” I’ve used before, but in order to properly specify what I mean by an “ideal” predictor, I’d need to specify goal agnosticism.
I’d be happy if you could point out a non competitive one, or explain why my proposal above does not obey your axioms. But we seem to get diminished returns to sort these questions out, so maybe it’s time to close at this point and wish you luck. Thanks for the discussion!