Godel might muse that even a system with its head up its ass cannot know
itself to completion.

On Sat, Nov 13, 2021 at 8:43 AM James Bowery <jabow...@gmail.com> wrote:

> What would Godel say about a NOT gate with its input connected to its
> output?
>
> On Fri, Nov 12, 2021 at 9:28 PM Quan Tesla <quantes...@gmail.com> wrote:
>
>> Gödel's incompleteness theorum still wins this argument. However, what
>> really happens in unseen space remains fraught with possibility. The
>> question remains: how exactly is this relevant to AGI?
>>
>> In transition, energy is always "lost" to externalities. Excellent design
>> would limit such losses to not impact negatively on internal functionality.
>> E.g., Losses can be recycled for reuse, and so on. It all depends on the
>> relevance of the dynamical boundary that was either set, or which emerged.
>>
>> Even so, the "lossy" argument should be finite. As a system, its
>> boundaries of argument should also be maintained. This remains true for all
>> systems, even systems of systems. As such, it's more a function of a design
>> decision, than an incomplete argument.
>> On 12 Nov 2021 20:41, "James Bowery" <jabow...@gmail.com> wrote:
>>
>>>
>>>
>>> On Fri, Nov 12, 2021 at 6:27 AM John Rose <johnr...@polyplexic.com>
>>> wrote:
>>>
>>>> ...
>>>>
>>>> While these examples may sound edgy, often these incompleteness's are
>>>> where there is much to be learned. Exploring may help some understandings
>>>> especially, as James pointed out, that “AIXI = AIT⊗SDT = Algorithmic
>>>> Information Theory ⊗ Sequential Decision Theory".
>>>>
>>>
>>> AIXI *reduced* the parameter count of an AGI with unlimited computation
>>> but limited information.  Before you jump all over the fact that it is
>>> necessary to limit the computation, we still need to talk about the
>>> remaining open parameters in AIXI.  In AIT the open parameter is:  "Which
>>> Turing Machine?"  In SDT the open parameter is "Which Utility Function?"
>>>
>>> To answer "Which Turing Machine?" I've intuited an approach that Matt
>>> reduced to a pretty restrictive descriptive space of NOR DCGs.  This
>>> reduces what might be thought of as the descriptive space of Turing
>>> Machines to what Matt formalized.  It doesn't get rid of _all_ of the
>>> unknowns in that space, but it is far more rigorous than the descriptive
>>> space of all UTMs.  There is a _lot_ of work to be done with this approach
>>> and advances will, IMNSHO, have immediate and profound application in logic
>>> design.
>>>
>>> To answer "Which Utility Function?" we must become a lot more
>>> philosophically serious than has heretofore been the case in all the
>>> brouhaha about "friendly AI".
>>>
>>> Hutter's paper "A Complete Theory of Everything (will be subjective)
>>> <https://arxiv.org/abs/0912.5434>" is his (still incomplete) approach
>>> to addressing what you refer to as "these incompleteness's".
>>>
>>> Now, having said all that: Yes, the measurement level of abstraction
>>> does get into the economics of computation resources and, yes, it would be
>>> nice to find approaches that obviate all of the above "incompletenesses",
>>> but you must do better than to redefine the words "lossy" and "lossless"
>>> compression as that merely hobbles an existing approach to these
>>> incompletenesses while at the same time threatening to hobble their
>>> practical applications by confusing the meanings of words.
>>>
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