On 03 Sep 2005, at 20:54, Hal Finney wrote:Okay, I was mostly trying to clarify the terminology. The problem isthat sometimes you use "comp" as if it is the same as computationalism,and sometimes it seems to include these additional concepts of the ChurchThesis and Arithmetical Realism. Maybe
Bruno writes:
I will think about it, but I do think that CT and AR are just making
the YD more precise. Also everybody in cognitive science agree
explicitly or implicitly with both CT and AR, so to take them away
from YD could be more confusing.
I think that is probably true about the
Hal Finney,
You say, . . . the Church Thesis, which I would paraphrase as saying that
there are no physical processes more computationally powerful than a Turing
machine, or in other words that the universe could in principle be simulated
on a TM. I wouldn't be surprised if most people who
Hi Norman,
I agree that you can assume that one multiverse exists and that that implies
that everything describable exists. But If physical existence is not the
same as mathematical existence then there is nothing we can do to verify
this. So, this like postulating that a powerless God exists.
Hi Norman,
A TM in our universe can simulate you living in a virtual universe. If your
universe is described by the same laws of physics as ours, then most
physicists believe that the TM would have to work in a nonlocal way from
your perspective.
Is this a problem? I don't think so, because the
Bruno writes
Well, even at step 0 (Yes doctor), if the doctor is honest it will
warn you that the artificial brain is a digital device, and I cannot
imagine him explaining what that really means in all generality
without invoking Church thesis.
That's funny. My doctor never explains
Hal writes
That simple mathematical objects have a sort of existence is probably
unobjectionable, but most people probably don't give it too much thought.
For most, it's a question analogous to whether a falling tree makes a
noise when there's no one there to hear it. Whether the number 3
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