Post : Abduction, Deduction, Induction, Analogy, Inquiry : 7
http://inquiryintoinquiry.com/2016/03/01/abduction-deduction-induction-analogy-inquiry-7/
Date : March 1, 2016 at 12:34 pm

Peircers,

I added a comment on applications of Bayes' theorem.
This is another issue that I thought was cleared up
a long time ago but it appears that confusion never
gives up the ghost that easily.

Re: Peter Woit ( http://www.math.columbia.edu/~woit/ )
• Beyond Experiment ( http://www.math.columbia.edu/~woit/wordpress/?p=8323 )

The phrase “inference to the best explanation” was coined by
Gilbert Harman in his attempt to explain abductive inference
but it conveys the wrong impression to anyone who takes it
as a substitute for the whole course of inquiry rather than
just its starting point.  Peirce himself was always very
clear about this.

Bayes’ theorem is a deductive identity that adds no information to
the situation, nor is that its job.  It does not add rows or columns
to the contingency matrix or make the observations that populate its
cells.  Those are jobs for the independent capacities of abductive
and inductive reasoning.

Regards,

Jon

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