{ Information = Comprehension × Extension } • Discussion 12

Re: Ontolog ForumAzamat Abdoullaev

As I suggested in an earlier discussion, the difference that makes a difference in Peirce’s contribution to our understanding of inference and reference is “due to his concurrent development of the logic of relative terms and the mathematics of relations, especially triadic relations.”  It is only with the addition of these tools to our toolbox that we begin to form models adequate to the complexity of the object phenomena, namely, the whole panoply of activities involved in observation, conceptualization, communication, and inquiry.

I’ll be bringing these tools to bear as needed in the current engagement with Peirce’s incipient information theory, but only as the application calls for them.  For a more general grounding in the relational logic and mathematics Peirce was developing in parallel at this time, see the series of selections and commentary I started on his 1870 Logic of Relatives.

Here’s the work in progress so far on the OEIS Wiki.

Here’s the overview for a parallel series of blog posts.


cc: CyberneticsOntolog ForumStructural ModelingSystems Science

This entry was posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations and tagged , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

4 Responses to { Information = Comprehension × Extension } • Discussion 12

  1. Pingback: Survey of Pragmatic Semiotic Information • 4 | Inquiry Into Inquiry

  2. Pingback: Survey of Pragmatic Semiotic Information • 4 | Inquiry Into Inquiry

  3. Pingback: Survey of Pragmatic Semiotic Information • 5 | Inquiry Into Inquiry

  4. Pingback: C.S. Peirce and Category Theory • 4 | Inquiry Into Inquiry

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