Danko, List,

Bates' Rule is a mathematical theorem, that is, a deductive transformation that 
can at best preserve the information in the data. Thus it is explicative where 
abduction and induction are ampliative.

This is an old controversy that Peirce had with, I think it was the 
Neyman–Pearson school of thought? 

There used to be a lot of literature and some understanding of this point among 
AI folk, but that may be forgotten now.  That happens periodically …

Regards,

Jon

http://inquiryintoinquiry.com

> On Mar 26, 2015, at 1:30 PM, Danko Nikolic <[email protected]> 
> wrote:
> 
> Dear,
> 
> There was one more question that bugged me while writing the paper on 
> practopoiesis: There has been a lot of work on Bayesian inference in the 
> brain. So, my fear was that people who worked on Bayesian aspects of brain 
> computation would argue that all the issues regarding logical abduction have 
> been addressed through Bayesian-related work.
> 
> First, I have to say that my fear was not really grounded and for a strange 
> reason. It turned out that all the experts on Bayesian inference who I talked 
> to have never heard of logical abduction. That was kind of sad, but still did 
> not solve the problem.
> 
> My intuition is that abduction is much more than Bayesian inference, but I 
> have hard time defending this stance.
> 
> Can anybody tell me more about that relation? If one shows that a neural 
> circuit performs Bayesian inference, has it been automatically shown that the 
> circuit can perform logical abduction? I guess not. But I would like to know 
> more about that.
> 
> The way I treated the issue in the paper was that I discussed primarily 
> abduction and then briefly mentioned Bayes at the end as "related". I am not 
> sure whether I could have done a better job.
> 
> Thank you very much.
> 
> Best regards,
> 
> Danko
> 
> -- 
> Prof. Dr. Danko Nikolić
> 
> Web:
> http://www.danko-nikolic.com
> 
> Mail address 1:
> Department of Neurophysiology
> Max Planck Institut for Brain Research
> Deutschordenstr. 46
> 60528 Frankfurt am Main
> GERMANY
> 
> Mail address 2:
> Frankfurt Institute for Advanced Studies
> Wolfgang Goethe University
> Ruth-Moufang-Str. 1
> 60433 Frankfurt am Main
> GERMANY
> 
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