Nice. Thanks Benjamin. This is very informative.

I also feel like it is better to look for "instinctual plausibility, instinctual simplicity, naturalness, facility" than for probability.

One comment: Practopoiesis is supposed to give A.I. researchers at least an idea in which direction to look for an artificial intelligence design that can abduce well.

To this end, I wrote this (although I don't use the term abduction in this text you can read "T3" as "abduction-capable"):

https://www.singularityweblog.com/practopoiesis/

Best,

Danko

On 26/03/15 22:21, Benjamin Udell wrote:
Danko, list,

To what Jon said, I would add that, as you may already know, Peirce regarded Bayesian subjective probabilities and subjective priors as treacherous. Peirce criticizes the idea of subjective probability in a number of places. I don't know what researchers in abductive inference think about it, but Peirce himself rejected the idea that subjective probability is intrinsically valuable for an explanatory hypothesis; he looked instead especially to instinctual plausibility, instinctual simplicity, naturalness, facility. He also mentioned the worth of objective probability of a hypothesis, though he thought that the instinctual impression should avoid being influenced by awareness of the hypothesis's objective probability.

Good texts by Peirce to read on abductive inference, besides his discussion in his 1903 lectures on pragmatism, include "On the Logic of Drawing Ancient History from Documents" (1901), /Essential Peirce/ v. 2, wherein Peirce gives one of his most systematic accounts of abductive inference. He discusses instinctual plausibility, instinctual naturalness (Galileo's "natural light of reason") of abductive inference (or retroduction as he now called it) in "A Neglected Argument for the Reality of God" (1908) http://www.gnusystems.ca/CSPgod.htm#na0 in *Section III* and *Section IV*.

In at least one writing, Peirce includes infantile training under instinct. Still, the idea of instinct doesn't seem to tell the A.I. researcher much about how to design an artificial intelligence that can abduce well. I don't know how researchers have dealt with this.

Best, Ben

On 3/26/2015 4:24 PM, Jon Awbrey wrote:
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

----------------------------
Office: (..49-69) 96769-736
Lab: (..49-69) 96769-209
Fax: (..49-69) 96769-327
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----------------------------




--
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

----------------------------
Office: (..49-69) 96769-736
Lab: (..49-69) 96769-209
Fax: (..49-69) 96769-327
[email protected]
----------------------------

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