Tag Archives: Inquiry

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 →

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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 →

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Sign Relations • Graphical Representations

Posted on January 15, 2026 by Jon Awbrey

The dyadic components of sign relations have graph‑theoretic representations, as digraphs (or directed graphs), which provide concise pictures of their structural and potential dynamic properties. By way of terminology, a directed edge is called an arc from point to point … Continue reading →

Posted in C.S. Peirce, Connotation, Denotation, Inquiry, Logic, Logic of Relatives, Mathematics, Relation Theory, Semiosis, Semiotic Equivalence Relations, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , | 2 Comments

Sign Relations • Semiotic Equivalence Relations 2

Posted on December 31, 2025 by Jon Awbrey

A few items of notation are useful in discussing equivalence relations in general and semiotic equivalence relations in particular. In general, if is an equivalence relation on a set then every element of belongs to a unique equivalence class under … Continue reading →

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Sign Relations • Semiotic Equivalence Relations 1

Posted on December 30, 2025 by Jon Awbrey

A semiotic equivalence relation (SER) is a special type of equivalence relation arising in the analysis of sign relations.  Generally speaking, any equivalence relation induces a partition of the underlying set of elements, known as the domain or space of the … Continue reading →

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Sign Relations • Ennotation

Posted on December 29, 2025 by Jon Awbrey

A third aspect of a sign’s complete meaning concerns the relation between its objects and its interpretants, which has no standard name in semiotics.  It would be called an induced relation in graph theory or the result of relational composition … Continue reading →

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Sign Relations • Connotation

Posted on December 28, 2025 by Jon Awbrey

Another aspect of a sign’s complete meaning concerns the reference a sign has to its interpretants, which interpretants are collectively known as the connotation of the sign.  In the pragmatic theory of sign relations, connotative references fall within the projection … Continue reading →

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Sign Relations • Denotation

Posted on December 27, 2025 by Jon Awbrey

One aspect of a sign’s complete meaning concerns the reference a sign has to its objects, which objects are collectively known as the denotation of the sign.  In the pragmatic theory of sign relations, denotative references fall within the projection … Continue reading →

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Sign Relations • Dyadic Aspects

Posted on December 25, 2025 by Jon Awbrey

For an arbitrary triadic relation whether it happens to be a sign relation or not, there are six dyadic relations obtained by projecting on one of the planes of the ‑space   The six dyadic projections of a triadic relation … Continue reading →

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Sign Relations • Examples

Posted on December 18, 2025 by Jon Awbrey

Soon after I made my third foray into grad school, this time in Systems Engineering, I was trying to explain sign relations to my advisor and he, being the very model of a modern systems engineer, asked me to give … Continue reading →

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