Author Archives: Jon Awbrey

Pragmatic Maxims • 1

Re: Peirce List Here is a set of variations on the Pragmatic Maxim that I collected a number of years ago, along with some commentary of my own as I last left it.  As I understand them, they all say … Continue reading

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{ Information = Comprehension × Extension } • Comment 6

Note.  This is a placeholder, to be developed later. Figure 2 shows the implication ordering of logical terms in the form of a lattice diagram. Figure 2. Disjunctive Term u, Taken as Subject Reference Peirce, C.S. (1866), “The Logic of … Continue reading

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{ Information = Comprehension × Extension } • Comment 5

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

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

So Many Modes Of Mathematical Thought

So many modes of mathematical thought, So many are learned, so few are taught. There are streams that flow beneath the sea, There are waves that crash upon the strand, Lateral thoughts that spread and meander — Who knows what … Continue reading

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{ Information = Comprehension × Extension } • 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, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

Iconoclast

Things thrown out from a center Cooling signs of a central fire Expiring cinders of life within Sent from a star to start again

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{ Information = Comprehension × Extension } • 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, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 12 Comments

{ Information = Comprehension × Extension } • 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, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

Pragmatic Cosmos • 1

Re: Michael Harris • Not About Fibonacci I have often reflected on the interminglings of the main three normative sciences.  In one of my earliest meditations I saw Beauty, Goodness, and Truth as the intersecting circles of a Venn diagram, with the … Continue reading

Posted in Aesthetics, Anthem, Arete, Beauty, C.S. Peirce, Ethics, Knowledge, Logic, Mathematics, Normative Science, Pragmata, Pragmatic Cosmos, Pragmatism, Summum Bonum, Truth, Virtue | Tagged , , , , , , , , , , , , , , , | Leave a comment

{ Information = Comprehension × Extension } • Comment 1

At this point in his inventory of scientific reasoning, Peirce is relating the nature of inference, information, and inquiry to the character of the signs mediating the process in question, a process he is presently describing as symbolization. In the interest … Continue reading

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments