Category Archives: Sign Relations

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

Higher Order Sign Relations • Discussion 1

Posted on March 27, 2025 by Jon Awbrey

Re: FB | Charles S. Peirce Society • John Corcoran Questions about the proper treatment of use and mention from the standpoint of Peirce’s theory of signs came up recently in discussions on Facebook.  In pragmatic semiotics the trade‑off between … Continue reading →

Posted in Arithmetization, C.S. Peirce, Gödel Numbers, Higher Order Sign Relations, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Logic, Mathematics, Quotation, Reflection, Reflective Interpretive Frameworks, Semiotics, Sign Relations, Triadic Relations, Use and Mention, Visualization | Tagged , , , , , , , , , , , , , , , , | 6 Comments

Higher Order Sign Relations • 1

Posted on March 22, 2025 by Jon Awbrey

Higher Order Sign Relations • Introduction When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections.  They need signs referring to sign relations, signs referring to elements and components of … Continue reading →

Posted in C.S. Peirce, Higher Order Sign Relations, Inquiry, Inquiry Into Inquiry, Logic, Mathematics, Recursion, Reflection, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , | 6 Comments

Signs Of Signs • 4

Posted on March 20, 2025 by Jon Awbrey

Re: Michael Harris • Language About Language But then inevitably I find myself wondering whether a proof assistant, or even a formal system, can make the distinction between “technical” and “fundamental” questions.  There seems to be no logical distinction.  The … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Signs Of Signs • 3

Posted on March 19, 2025 by Jon Awbrey

Re: Michael Harris • Language About Language And if we don’t [keep our stories straight], who puts us away? One’s answer, or at least one’s initial response to that question will turn on how one feels about formal realities.  As … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Signs Of Signs • 2

Posted on March 18, 2025 by Jon Awbrey

Re: Michael Harris • Language About Language I compared mathematics to a “consensual hallucination”, like virtual reality, and I continue to believe that the aim is to get (consensually) to the point where that hallucination is a second nature. I … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Signs Of Signs • 1

Posted on March 16, 2025 by Jon Awbrey

Re: Michael Harris • Language About Language There is a language and a corresponding literature treating logic and mathematics as related species of communication and information gathering, namely, the pragmatic‑semiotic tradition transmitted through the lifelong efforts of C.S. Peirce.  It is … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Interpreter and Interpretant • Selection 10

Posted on February 11, 2025 by Jon Awbrey

Transfer Returning to the scene of Dewey’s “Sign of Rain” example, let’s continue examining how the transfer of knowledge through the analogy of experience works in that case. By way of a recap, we began by considering a fragment of … Continue reading →

Posted in C.S. Peirce, Hermeneutics, Interpretation, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments

Interpreter and Interpretant • Selection 9

Posted on January 27, 2025 by Jon Awbrey

Transfer Let’s examine how the transfer of knowledge through the analogy of experience works in the case of Dewey’s “Sign of Rain” example. For concreteness, consider a fragment of the reasoner’s knowledge base which is logically equivalent to a conjunction … Continue reading →

Posted in C.S. Peirce, Hermeneutics, Interpretation, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments

Interpreter and Interpretant • Selection 8

Posted on January 24, 2025 by Jon Awbrey

Transfer What exactly gives the acquisition of a knowledge base its distinctively inductive character?  It is evidently the “analogy of experience” involved in applying what we’ve learned in the past to what confronts us in the present. Whenever we find … Continue reading →

Posted in C.S. Peirce, Hermeneutics, Interpretation, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments