Wow!  Way too much good stuff to respond to in one e-mail.  I'll try to respond 
to more in a later e-mail but . . . . (and I also want to get your reaction to 
a few things first :-)

>> However, I still don't think that a below-average-IQ human can pragmatically 
>> (i.e., within the scope of the normal human lifetime) be taught to 
>> effectively carry out statistical evaluation of theories based on data, 
>> given the realities of how theories are formulated and how data is obtained 
>> and presented, at the present time...

Hmmm.  After some thought, I have to start by saying that it looks like you're 
equating science with statistics and I've got all sorts of negative reactions 
to that.

First -- Sure.  I certainly have to agree for a below-average-IQ human and 
could even be easily convinced for an average IQ human if they had to do it all 
themselves.  And then, statistical packages quickly turn into a two-edged sword 
where people blindly use heuristics without understanding them (p < .05 
anyone?).

A more important point, though, is that humans natively do *NOT* use statistics 
but innately use very biased, non-statistical methods that *arguably* function 
better than statistics in real world data environments.   That alone would 
convince me that I certainly don't want to say that science = statistics.

>> I am not entirely happy with Lakatos's approach either.  I find it 
>> descriptively accurate yet normatively inadequate.

Hmmm.  (again)  To me that seems to be an interesting way of rephrasing our 
previous disagreement except that you're now agreeing with me.  (Gotta love it 
:-)

You find Lakatos's approach descriptively accurate?  Fine, that's the 
scientific method.  

You find it normatively inadequate?  Well, duh (but meaning no offense :-) . . 
. . you can't codify the application of the scientific method to all cases.  I 
easily agreed to that before.

What were we disagreeing on again?


>> My own take is that science normatively **should** be based on a Bayesian 
>> approach to evaluating theories based on data

That always leads me personally to the question "Why do humans operate on the 
biases that they do rather than Bayesian statistics?"  MY *guess*  is that 
evolution COULD have implemented Bayesian methods but that the current methods 
are more efficient/effective under real world conditions (i.e. because of the 
real-world realities of feature extraction under dirty and incomplete or 
contradictory data and the fact that the Bayesian approach really does need to 
operate in an incredibly data-rich world where the features have already been 
extracted and ambiguities, other than occurrence percentages, are basically 
resolved).

**And adding different research programmes and/or priors always seems like such 
a kludge . . . . . 






  ----- Original Message ----- 
  From: Ben Goertzel 
  To: [email protected] 
  Sent: Tuesday, October 21, 2008 4:15 PM
  Subject: Re: AW: AW: [agi] Re: Defining AGI



  Mark,


    >> As you asked for references I will give you two:

    Thank you for setting a good example by including references but the 
contrast between the two is far better drawn in For and Against Method (ISBN 
0-226-46774-0).

  I read that book but didn't like it as much ... but you're right, it may be 
an easier place for folks to start...
   
    Also, I would add in Polya, Popper, Russell, and Kuhn for completeness for 
those who wish to educate themselves in the fundamentals of Philosophy of 
Science 

  All good stuff indeed.
   
    My view is basically that of Lakatos to the extent that I would challenge 
you to find anything in Lakatos that promotes your view over the one that I've 
espoused here.  Feyerabend's rants alternate between criticisms ultimately 
based upon the fact that what society frequently calls science is far more 
politics (see sociology of scientific knowledge); a Tintnerian/Anarchist rant 
against structure and formalism; and incorrect portrayals/extensions of Lakatos 
(just like this list ;-).  Where he is correct is in the first case where 
society is not doing science correctly (i.e. where he provided examples 
regarded as indisputable instances of progress and showed how the political 
structures of the time fought against or suppressed them).  But his rants 
against structure and formalism (or, purportedly, for freedom and 
humanitarianism <snort>) are simply garbage in my opinion (though I'd guess 
that they appeal to you ;-).

  Feyerabend appeals to my sense of humor ... I liked the guy.  I had some 
correspondence with him when I was 18.  I wrote him a letter outlining some of 
my ideas on philosophy of mind and asking his advice on where I should go to 
grad school to study philosophy.  He replied telling me that if I wanted to be 
a real philosopher I should **not** study philosophy academically nor become a 
philosophy professor, but should study science or arts and then pursue 
philosophy independently.  We chatted back and forth a little after that.

  I think Feyerabend did a good job of poking holes in some simplistic accounts 
of scientific process, but ultimately I found Lakatos's arguments mostly more 
compelling...

  Lakatos did not argue for any one scientific method, as I recall.  Rather he 
argued that different research programmes come with different methods, and that 
the evaluation of a given piece of data is meaningful only within a research 
programme, not generically.  He argued that comparative evaluation of 
scientific theories is well-defined only for theories within the same 
programme, and otherwise one has to talk about comparative evaluation of whole 
scientific research programmes.

  I am not entirely happy with Lakatos's approach either.  I find it 
descriptively accurate yet normatively inadequate.

  My own take is that science normatively **should** be based on a Bayesian 
approach to evaluating theories based on data, and that different research 
programmes then may be viewed as corresponding to different **priors** to be 
used in doing Bayesian statistical evaluations.  I think this captures a lot of 
Lakatos's insights but within a sound statistical framework.  This is my 
"social computational probabilistic" philosophy of science.  The "social" part 
is that each social group, corresponding to a different research programme, has 
its own prior distribution.

  I have also, more recently, posited a sort of "universal prior", defined as 
**simplicity of communication in natural language within a certain community**. 
 This, I suggest, provides a baseline prior apart from any particular research 
programme.

  However, I still don't think that a below-average-IQ human can pragmatically 
(i.e., within the scope of the normal human lifetime) be taught to effectively 
carry out statistical evaluation of theories based on data, given the realities 
of how theories are formulated and how data is obtained and presented, at the 
present time...

  -- Ben



   





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