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Topic: Go Deep Blue!
Replies: 334   Last Post: Aug 22, 1997 11:23 AM

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 Matthew P Wiener Posts: 513 Registered: 12/8/04
Re: 0-1 Laws (was Re: Go Deep Blue! (on Lucas)
Posted: May 27, 1997 8:48 AM
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In article <5mdc6o\$l27\$1@news.fas.harvard.edu>, kubo@abel (Tal Kubo) writes:
>Manfred Jaeger <jaeger@flamingo.stanford.edu> wrote:
>>Matthew P Wiener wrote:

>>> [...] I appeal to the EXTREMELY WELL-KNOWN ubiquity of 0-1 laws
>>> to claim that whatever the truth is regarding TM mind evolution,
>>> I'm already covered.

>>Ubiquity of 0-1 laws? There are just as many cases where no 0-1 law
>>holds as there are 0-1 laws. Add a function symbol to your language,
>>and you don't get a 0-1 law any more. Make the probability of
>>an edge in your random graph a function of the cardinality
>>of the domain, and the validity of a 0-1 law depends on the exact
>>form of this function. [...]

So you apply it to a form where it does hold. The mental model isn't
forced into some logician's favorite straightjacket, doomed forever to
defy probabilistic analysis because of bad notation. Sheesh.

>The problem is much more basic than that. Even granting the most
>generous hypothetical 0-1 laws, and sidestepping some of the
>technical issues you mention, the facts of life about 0-1 laws
>**prevent Matthew's argument from making any sense**.

Sure it makes sense.

>e.g.: a syntactic 0-1 law is out of the question;

Eh? Why not?

> semantic 0-1 laws
>won't help;

I don't use them. In fact, I've repeatedly denied that there are relevant
semantics due to the lack of physical correlates.

> with probability 1 evolution can't be adequately quantified;

I've only pointed out repeatedly that this is why I don't bother spelling
out more detail. Whatever particular model I consider is wrong.

>with probability 1 the limit theory is not recursively enumerable;

So what?

>Goedel's theorem can't possibly be applied. And so on.

I apply it to the base theory, not the limit theory.

>In other words, it's just wall-to-wall bogosity wrapped in jargon.

Your comments obviously are.
--
-Matthew P Wiener (weemba@sagi.wistar.upenn.edu)

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6/1/97 Matthew P Wiener
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6/5/97 Daryl McCullough
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6/11/97 Tal Kubo
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6/11/97 Daryl McCullough
6/15/97 Matthew P Wiener
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6/24/97 Matthew P Wiener
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6/22/97 Matthew P Wiener
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6/18/97 Matthew P Wiener
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