marc.geddes.domain.name.hidden wrote:
> Gunther,
>
> Let me further clarify:
>
> The problem with Bayesianism is that there is no precise definition of
> 'simplicity' and 'complexity' for finite strings, which is needed to
> effectively apply the principle of Occam's razor. To elaborate:
>
> (a) There is no measure of simplicity/complexity for finite strings
> (b) There is no way to justify why compressed descriptions of
> theories should be favored (Occam's razor)
Yes there is. In fact descriptions with fewer free parameters are automatically
favored by Bayesian inference.
http://quasar.as.utexas.edu/papers/ockham.pdf
Brent Meeker
>
> We then apply Schmidhuber's theory of beauty. According to
> Schmidhuber:
>
> "Schmidhuber's Beauty Postulate (1994-2006): Among several patterns
> classified as "comparable" by some subjective observer, the
> subjectively most beautiful is the one with the simplest (shortest)
> description, given the observer's particular method for encoding and
> memorizing it. See refs [1-5]"
>
> http://www.idsia.ch/~juergen/beauty.html
>
> Then, its clear that (a) and (b) are in fact being resolved via
> aesthetic judgements.
>
>
>
>
> On Sep 9, 6:09 pm, marc.ged....domain.name.hidden wrote:
>> On Sep 9, 9:04 am, Günther Greindl <guenther.grei....domain.name.hidden> wrote:
>>
>>> Here is a pertinent paper, just published:
>>> Unmasking the Truth Beneath the Beauty: Why the Supposed Aesthetic
>>> Judgements Made in Science May Not Be Aesthetic at All
>>> Cain S. Todd
>>> International Studies in the Philosophy of Science, Volume 22, Issue 1
>>> March 2008 , pages 61 - 79
>>> DOI: 10.1080/02698590802280910
>>> Cheers,
>>> Günther
>> If it comes down to an argument , between a computer scientist and a
>> philosopher, never trust the philosopher.
>>
>> It's time for me to call in my big guns.... Jürgen Schmidhuberhttp://www.idsia.ch/~juergen/beauty.html
>>
>> Cheers
> >
>
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Received on Wed Sep 10 2008 - 01:07:04 PDT