None of this are actual downers... they're all just mathematical exercises.

("Almost all strings" is practically just as uninteresting as the
mathematical definition of "almost all numbers".)

On Sat, 10 Aug 2019 at 23:36, Matt Mahoney <mattmahone...@gmail.com> wrote:

> On Sat, Aug 10, 2019 at 9:04 AM korrelan <korrelan...@gmail.com> wrote:
> > >Legg proved there is no such thing as a simple, universal learner. So
> we can stop looking for one.
> >
> > With all due respect to everyone involved this kind of comprehensive
> sweeping statement is both narrow minded and counter productive.
> 
> While I am being a downer, here are some other things you can't do.
> 
> There is no general procedure for testing software. (Rice's theorem, a
> generalization of the halting theorem).
> 
> You can't prove all true statements (Godel, Turing).
> 
> You can't prove most true statements (Legg).
> 
> You can't compress all strings, or even all strings above a certain
> length (pigeonhole principle).
> 
> You can't always know if a string can be compressed (Kolmogorov).
> 
> There is no universal induction algorithm (Solomonoff).
> 
> There is no universal reinforcement learning algorithm (Hutter: AIXI).
> 
> You can't both create an agent smarter than you and predict its
> behavior (Wolpert: mutual prediction is not possible).
> 
> There is no such thing as recursively self improving software (because
> intelligence depends on knowledge and computing power and it gains
> neither).
> 
> Sorry, it's math. You can have AGI. You just can't have any shortcuts.
> 
> --
> -- Matt Mahoney, mattmahone...@gmail.com


-- 
Stefan Reich
BotCompany.de // Java-based operating systems

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