Category Archives: Peirce’s Categories

{ Information = Comprehension × Extension } Revisited • Selection 1

Posted on January 26, 2019 by Jon Awbrey

Our first text comes from Peirce’s Lowell Lectures of 1866, titled “The Logic of Science, or, Induction and Hypothesis”.  I still remember the first time I read these words and the light that lit up the page and my mind. … 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 , , , , , , , , , , , , , , , , , , , , , | 16 Comments

{ Information = Comprehension × Extension } • Discussion 9

Posted on January 25, 2019 by Jon Awbrey

Re: Ontolog Forum • Mihai Nadin Here’s an article of mine bearing on the present topic, namely, the relationship between Peirce’s theory of triadic sign relations and his theory of inquiry.  It also gives a smattering of historical context, bracketing … 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 , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 8

Posted on January 24, 2019 by Jon Awbrey

Re: Structural Modeling • Joseph Simpson Links to previous Selections, Comments, and Discussions on this topic can be found here.  See especially the section on I = C × E. My plan going forward is to review this material 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 , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Revisited

Posted on January 23, 2019 by Jon Awbrey

Three summers ago I hit on what struck me as a new insight into one of the most recalcitrant problems in Peirce’s semiotics and logic of science, namely, the relation between “the manner in which different representations stand for their … 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 , , , , , , , , , , , , , , , , , , , , , | 10 Comments

{ Information = Comprehension × Extension } • Comment 8

Posted on October 8, 2018 by Jon Awbrey

So what is all this fuss about the relation between inquiry and signs, as analyzed in Peirce’s theories of their structure and function and synthesized in his theory of information? The best way I’ve found to see where the problem … 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 , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

{ Information = Comprehension × Extension } • Comment 7

Posted on October 3, 2018 by Jon Awbrey

One of the most tantalizing puzzles in Peirce’s work is the relation between his theory of inquiry and his theory of signs.  From the outset I found it useful to return to his early ventures where the two theories work … 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 , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 7

Posted on February 2, 2018 by Jon Awbrey

Re: Joselle DiNunzio Kehoe • Information and Questions of Consciousness C.S. Peirce put forth the idea that what he called “the laws of information” were key to solving “the puzzle of the validity of scientific inference” and thus to understanding … Continue reading →

Posted in Abduction, C.S. Peirce, Comprehension, Consciousness, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Mathematics, Peirce, Peirce's Categories, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Pragmatic Traction • 7

Posted on November 8, 2017 by Jon Awbrey

Re: Peirce List • John Sowa It’s good to remember that observation, perception itself, has an abductive character in Peirce’s analysis and induction for him is more a final testing than initial conception stage.  Yes, it’s wheels upon wheels but … Continue reading →

Posted in Abduction, Action, C.S. Peirce, Control, Cybernetics, Deduction, Definition, Determination, Fixation of Belief, Induction, Inference, Information, Inquiry, Inquiry Driven Systems, Learning, Learning Theory, Logic, Logic of Science, Mathematics, Metaphysics, Normative Science, Observation, Peirce, Peirce's Categories, Perception, Phenomenology, Philosophy, Pragmatic Maxim, Pragmatism, Recursion, Scientific Method, Semiotics, Volition | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Pragmatic Traction • 6

Posted on October 15, 2017 by Jon Awbrey

Re: Peirce List Discussion • GF • JFS When it comes to the relative contributions of phenomenology and mathematics to logic, I always find myself returning to the picture I drew once before from Peirce’s Syllabus, on the relationship of phenomenology and … Continue reading →

Posted in C.S. Peirce, Control, Cybernetics, Definition, Determination, Fixation of Belief, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Science, Mathematics, Metaphysics, Normative Science, Peirce, Peirce's Categories, Phenomenology, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Method, Semiotics, Volition | Tagged , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

{ Information = Comprehension × Extension } • Discussion 6

Posted on July 2, 2017 by Jon Awbrey

Re: Peirce List • JA • JFS • JA What interests me about Peirce’s first articulation of the “laws of information” in his early lectures on the “Logic of Science” is how the primal twins of Inquiry and Semiotics nestle … 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 , , , , , , , , , , , , , , , , , , , , , , | 9 Comments