Post : Abduction, Deduction, Induction, Analogy, Inquiry : 8 http://inquiryintoinquiry.com/2016/03/02/abduction-deduction-induction-analogy-inquiry-8/ Date : March 2, 2016 at 4:32 pm
Peircers, In Peirce's theory of inquiry none of the three basic types of inference is reducible to any mixture of the other two. This too, too solid feature of Peirce's paradigm appears to be one of the hardest things to represent within the frame of dyadic or 2-dimensional paradigms, at least, without the proverbial Procrustean distortion and truncation. At any rate, the following comment is another one of my tries to get that across. Re: Peter Woit ( http://www.math.columbia.edu/~woit/ ) • Beyond Experiment ( http://www.math.columbia.edu/~woit/wordpress/?p=8323 ) I will limit myself to clearing up popular confusions about Peirce's concept of abductive inference. Analytic philosophy swayed many people into thinking that science could be reduced to purely deductive reasoning, eliminating induction and ignoring abduction, but Peirce was a practicing scientist who worked outside that warp. In his model of the inquiry process abduction is at root logically prior to any discussion of probabilities, however true it may be that all three modes of inference work in tandem to advance any moderately complex investigation. There's more information on the history and function of abductive inference in the following article: * Functional Logic : Inquiry and Analogy http://intersci.ss.uci.edu/wiki/index.php/Functional_Logic_:_Inquiry_and_Analogy See especially: * Section 1.2. Types of Reasoning in C.S. Peirce http://intersci.ss.uci.edu/wiki/index.php/Functional_Logic_:_Inquiry_and_Analogy#1.2._Types_of_Reasoning_in_C.S._Peirce * Section 1.4. Aristotle's “Apagogy” : Abductive Reasoning as Problem Reduction http://intersci.ss.uci.edu/wiki/index.php/Functional_Logic_:_Inquiry_and_Analogy#1.4._Aristotle.27s_.E2.80.9CApagogy.E2.80.9D_:_Abductive_Reasoning_as_Problem_Reduction Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache
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