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Vladimir_Nesov comments on Controlling Constant Programs - Less Wrong
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I was using "information" loosely. Define it as "that thing you get from observation" if you want.
The point is, you will make different choices if you get different sensory experiences, because the sensory experiences imply something about how you control the world program. You're right that this could be modeled with different agent functions instead of parameters. Interesting - that seems rather deeply meaningful.
You can see it as unconditionally making a single conditional choice. The choice is itself a program with parameters, and goes different ways depending on observation, but is made without regard for observation. As an option, the choice is a parametrized constructor for new agents, which upon being constructed will make further choices, again without parameters.
There are several different possible formulations here. It seems like they will lead to the same results. The best one is, I suppose, the most elegant one.
Not sure which is.