hi, > No, the challenge can be posed in a way that refers to an arbitrary agent > A which a constant challenge C accepts as input.
But the problem with saying it this way, is that the "constant challenge" has to have an infinite memory capacity. So in a sense, it's an infinite constant ;) > No, the charm of the physical challenge is exactly that there exists a > physically constant cavern which defeats any AIXI-tl that walks into it, > while being tractable for wandering tl-Corbins. No, this isn't quite right. If the cavern is physically constant, then there must be an upper limit to the t and l for which it can clone AIXItl's. If the cavern has N bits (assuming a bitistic reduction of physics, for simplicity ;), then it can't clone an AIXItl where t >>2^N, can it? Not without grabbing bits (particles or whatever) from the outside universe to carry out the cloning. (and how could the AIXItl with t>>2^N even fit inside it??) You still need the quantifiers reversed: for any AIXI-tl, there is a cavern posing a challenge that defeats it... > > I think part of what you're saying here is that AIXItl's are > not designed to > > be able to participate in a community of equals.... This is > certainly true. > > Well, yes, as a special case of AIXI-tl's being unable to carry out > reasoning where their internal processes are correlated with the > environment. Agreed... (See, it IS actually possible to convince me of something, when it's correct; I'm actually not *hopelessly* stubborn ;) ben ------- To unsubscribe, change your address, or temporarily deactivate your subscription, please go to http://v2.listbox.com/member/?[EMAIL PROTECTED]
