J. Andrew,
On 1/1/09, J. Andrew Rogers wrote:
>
>
> On Jan 1, 2009, at 2:35 PM, J. Andrew Rogers wrote:
>
>> Since "digital" and "analog" are the same thing computationally ("digital"
>> is a subset of "analog"), and non-digital computers have been generally
>> superior for several decades, this
Ben,
A few points concerning the central argument:
--Reading the argument again, I again mistakenly interpreted it the
way I had the first time (until I recalled the details of our previous
discussion). The presentation of the argument causes me to assume that
U is some kind of oracle directly ac
On Jan 1, 2009, at 2:35 PM, J. Andrew Rogers wrote:
Since "digital" and "analog" are the same thing computationally
("digital" is a subset of "analog"), and non-digital computers have
been generally superior for several decades, this is not relevant.
Gah, that should be *digital* computers
On Dec 30, 2008, at 11:45 AM, Steve Richfield wrote:
Bingo! You have to "tailor" the techniques to the problem - more
than just "solving the equations", but often the representation of
quantities needs to be in some sort of multivalued form.
What I meant is that if the standard algebraic r
J. Andrew,
On 12/30/08, J. Andrew Rogers wrote:
>
>
> On Dec 30, 2008, at 12:51 AM, Steve Richfield wrote:
>
>> On a side note, there is the "clean" math that people learn on their way
>> to a math PhD, and then there is the "dirty" math that governs physical
>> systems. Dirty math is fraught wit
I'm heading off on a vacation for 4-5 days [with occasional email access]
and will probably respond to this when i get back ... just wanted to let you
know I'm not ignoring the question ;-)
ben
On Tue, Dec 30, 2008 at 1:26 PM, William Pearson wrote:
> 2008/12/30 Ben Goertzel :
> >
> > It seems t
2008/12/30 Ben Goertzel :
>
> It seems to come down to the simplicity measure... if you can have
>
> simplicity(Turing program P that generates lookup table T)
> <
> simplicity(compressed lookup table T)
>
> then the Turing program P can be considered part of a scientific
> explanation...
>
Can yo
It seems to come down to the simplicity measure... if you can have
simplicity(Turing program P that generates lookup table T)
<
simplicity(compressed lookup table T)
then the Turing program P can be considered part of a scientific
explanation...
On Tue, Dec 30, 2008 at 10:02 AM, William Pearson
2008/12/29 Ben Goertzel :
>
> Hi,
>
> I expanded a previous blog entry of mine on hypercomputation and AGI into a
> conference paper on the topic ... here is a rough draft, on which I'd
> appreciate commentary from anyone who's knowledgeable on the subject:
>
> http://goertzel.org/papers/CognitiveI
On Dec 30, 2008, at 12:51 AM, Steve Richfield wrote:
On a side note, there is the "clean" math that people learn on their
way to a math PhD, and then there is the "dirty" math that governs
physical systems. Dirty math is fraught with all sorts of multi-
valued functions, fundamental uncertai
Ben,
I read your paper and have the following observations...
>From 1968-1970, I was the in-house numerical analysis and computer
consultant at the University of Washington departments of Physics and
Astronomy. At that time, Ira Karp, then the physics grad student who had
been a grad student long
On Dec 29, 2008, at 1:22 PM, Ben Goertzel wrote:
Well, some of the papers in the references of my paper give formal
mathematical definitions of hypercomputation, though my paper is
brief and conceptual and not of that nature. So although the
generic concept may be muddled, there are cert
Well, some of the papers in the references of my paper give formal
mathematical definitions of hypercomputation, though my paper is brief and
conceptual and not of that nature. So although the generic concept may be
muddled, there are certainly some fully precise variants of it.
This paper survey
On Dec 29, 2008, at 10:45 AM, Ben Goertzel wrote:
I expanded a previous blog entry of mine on hypercomputation and AGI
into a conference paper on the topic ... here is a rough draft, on
which I'd appreciate commentary from anyone who's knowledgeable on
the subject:
http://goertzel.org/pap
Hi,
I expanded a previous blog entry of mine on hypercomputation and AGI into a
conference paper on the topic ... here is a rough draft, on which I'd
appreciate commentary from anyone who's knowledgeable on the subject:
http://goertzel.org/papers/CognitiveInformaticsHypercomputationPaper.pdf
Thi
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