Tag Archives: Icon Index Symbol

Information = Comprehension × Extension • Preamble

Posted on June 16, 2026 by Jon Awbrey

Perhaps the best perspective from which to bring the connection between the theory of signs and the theory of inquiry into its proper focus is Peirce’s own Theory of Information, which he began setting forth in lectures at Harvard and … Continue reading →

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 1 Comment

Icon, Likeness, Likely Story, Likelihood, Probability • 4

Posted on June 13, 2026 by Jon Awbrey

Re: Icon, Likeness, Likely Story, Likelihood, Probability • 3 Re: Laws of Form • Lyle Anderson Lyle, We are engaged in the wider context of which Peirce’s systems of graphs for propositional logic and Spencer Brown’s calculus of indications constitute … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | 1 Comment

Icon, Likeness, Likely Story, Likelihood, Probability • 3

Posted on May 23, 2026 by Jon Awbrey

The passages from Aristotle collected in the present and preceding two posts prepare the way to address overarching tasks in Peirce’s Logic of Science, namely, bringing the Theory of Signs and the Theory of Inquiry into their proper relationship and … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | 3 Comments

Icon, Likeness, Likely Story, Likelihood, Probability • 2

Posted on May 19, 2026 by Jon Awbrey

Re: Peirce List • Phyllis Chiasson I’m still a bit fuzzy on how Aristotle’s account relates to Peirce’s usage, though I’m pretty sure Peirce must have taken Aristotle’s usage into account, but it does seem that Aristotle drew some sort … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | 1 Comment

Icon, Likeness, Likely Story, Likelihood, Probability • 1

Posted on May 17, 2026 by Jon Awbrey

Re: Peirce List • Benjamin Udell • Michael Shapiro Here’s a likely locus classicus for “icon” in its logical sense — A probability (εικος) is not the same as a sign (σηµειον).  The former is a generally accepted premiss;  for … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | 1 Comment

Survey of Semiotics, Semiosis, Sign Relations • 6

Posted on May 6, 2025 by Jon Awbrey

C.S. Peirce defines logic as “formal semiotic”, using formal to highlight the place of logic as a normative science, over and above the descriptive study of signs and their role in wider fields of play.  Understanding logic as Peirce understands … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Inquiry, Logic, Logic of Relatives, Mathematics, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , | 32 Comments

Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 5

Posted on May 1, 2025 by Jon Awbrey

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through Charles S. Peirce.  Particular attention is paid to the way the inferential rudiments combine to … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Deduction, Dewey, Discovery, Doubt, Fixation of Belief, Functional Logic, Icon Index Symbol, Induction, Inference, Information, Inquiry, Invention, Logic, Logic of Science, Mathematics, Morphism, Paradigmata, Paradigms, Pattern Recognition, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Inquiry, Scientific Method, Semiotics, Sign Relations, Surveys, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Information = Comprehension × Extension • Comment 7

Posted on October 28, 2024 by Jon Awbrey

Let’s stay with Peirce’s example of inductive inference a little longer and try to clear up the more troublesome confusions tending to arise. Figure 2 shows the implication ordering of logical terms in the form of a lattice diagram. Figure … Continue reading →

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 3 Comments

Information = Comprehension × Extension • Comment 6

Posted on October 23, 2024 by Jon Awbrey

Re: Information = Comprehension × Extension • Comment 2 Returning to Peirce’s example of inductive inference, let’s try to get a clearer picture of why he connects it with disjunctive terms and indicial signs.  At this point in time I … Continue reading →

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 4 Comments

Information = Comprehension × Extension • Comment 5

Posted on October 16, 2024 by Jon Awbrey

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, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 4 Comments