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From: Wei Dai <weidai.domain.name.hidden>

Date: Wed, 14 Nov 2001 17:47:30 -0800

Thanks for clarifying the provability issue. I think I understand and

agree with you.

On Tue, Nov 13, 2001 at 12:05:22PM +0100, Juergen Schmidhuber wrote:

*> What about exploitation? Once you suspect you found the PRG you can use
*

*> it
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*> to predict the future. Unfortunately the prediction will take enormous
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*> time to stabilize, and you never can be sure it's finished.
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*> So it's not very practical.
*

By exploiting the fact that we're in an oracle universe I didn't mean

using TMs to predict the oracle outputs. That is certainly impractical.

There are a couple of things you could do though. One is to use some

oracle outputs to predict other oracle outputs when the relationship

between them is computable. The other, much more important, is to quickly

solve arbitrarily hard computational problem using the oracles.

*> I prefer the additional resource assumptions reflected
*

*> by the Speed Prior. They make the oracle universes very unlikely, and
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*> yield computable predictions.
*

Why do you prefer the Speed Prior? Under the Speed Prior, oracle universes

are not just very unlikely, they have probability 0, right? Suppose one

day we actually find an oracle for the halting problem, or even just find

out that there is more computing power in our universe than is needed to

explain our intelligence. Would you then (1) give up the Speed Prior and

adopt a more dominant prior, or (2) would you say that you've encountered

an extremely unlikely event (i.e. more likely you're hallucinating)?

If you answer (1) then why not adopt the more dominant prior now?

Received on Wed Nov 14 2001 - 17:49:07 PST

Date: Wed, 14 Nov 2001 17:47:30 -0800

Thanks for clarifying the provability issue. I think I understand and

agree with you.

On Tue, Nov 13, 2001 at 12:05:22PM +0100, Juergen Schmidhuber wrote:

By exploiting the fact that we're in an oracle universe I didn't mean

using TMs to predict the oracle outputs. That is certainly impractical.

There are a couple of things you could do though. One is to use some

oracle outputs to predict other oracle outputs when the relationship

between them is computable. The other, much more important, is to quickly

solve arbitrarily hard computational problem using the oracles.

Why do you prefer the Speed Prior? Under the Speed Prior, oracle universes

are not just very unlikely, they have probability 0, right? Suppose one

day we actually find an oracle for the halting problem, or even just find

out that there is more computing power in our universe than is needed to

explain our intelligence. Would you then (1) give up the Speed Prior and

adopt a more dominant prior, or (2) would you say that you've encountered

an extremely unlikely event (i.e. more likely you're hallucinating)?

If you answer (1) then why not adopt the more dominant prior now?

Received on Wed Nov 14 2001 - 17:49:07 PST

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