Monthly Archives: February 2019

{ Information = Comprehension × Extension } • Discussion 15

I am roughly at the halfway point of my comments on Peirce’s information formula, having just finished up the link between abductive inference and iconic reference.  The discussion of induction and indexicals will follow pretty much the same pattern, though … Continue reading

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{ Information = Comprehension × Extension } • Discussion 14

Re: Ontolog Forum • Bruce Schuman Information and optimization go hand in hand — discovering the laws or constraints naturally governing the systems in which we live is a big part of moving toward our hearts’ desires within them.  I’m … Continue reading

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{ Information = Comprehension × Extension } • Discussion 13

Re: Deborah G. Mayo • R.A. Fisher: “Statistical Methods and Scientific Induction” As much as I incline toward Fisher’s views over those of Neyman and Pearson, I always find these controversies driving me back to Peirce.  It’s my personal sense … Continue reading

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 | Tagged , , , , , , , , , , , , , , , , , , , , , | 1 Comment

{ Information = Comprehension × Extension } Revisited • Comment 5

Let’s stay with Peirce’s example of abductive inference a little longer and try to clear up the more troublesome confusions that tend to arise. Figure 1 shows the implication ordering of logical terms in the form of a lattice diagram. … Continue reading

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{ Information = Comprehension × Extension } Revisited • Comment 4

Many things still puzzle me about Peirce’s account at this point.  I indicated a few of them by means of question marks at several places in the last two Figures.  There is nothing for it but returning to the text … Continue reading

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 | Tagged , , , , , , , , , , , , , , , , , , , , , | 1 Comment

{ Information = Comprehension × Extension } Revisited • Comment 3

Peirce identifies inference with a process he describes as symbolization.  Let us consider what that might imply. I am going, next, to show that inference is symbolization and that the puzzle of the validity of scientific inference lies merely in … Continue reading

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 | Tagged , , , , , , , , , , , , , , , , , , , , , | 2 Comments

{ Information = Comprehension × Extension } Revisited • Comment 2

Let’s examine Peirce’s second example of a disjunctive term — neat, swine, sheep, deer — within the style of lattice framework we used before. Hence if we find out that neat are herbivorous, swine are herbivorous, sheep are herbivorous, and … Continue reading

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 | Tagged , , , , , , , , , , , , , , , , , , , , , | 1 Comment