Category Archives: Semiosis

Sign Relations • Semiotic Equivalence Relations 2

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

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment

Sign Relations • Semiotic Equivalence Relations 1

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

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment

Sign Relations • Ennotation

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

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment

Sign Relations • Connotation

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

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment

Sign Relations • Denotation

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

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment

Sign Relations • Dyadic Aspects

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

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment

Sign Relations • Examples

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 … Continue reading

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 2 Comments

Sign Relations • Signs and Inquiry

There is a close relationship between the pragmatic theory of signs and the pragmatic theory of inquiry.  In fact, the correspondence between the two studies exhibits so many congruences and parallels it is often best to treat them as integral … Continue reading

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment

Sign Relations • Definition

One of Peirce’s clearest and most complete definitions of a sign is one he gives in the context of providing a definition for logic, and so it is informative to view it in that setting. Logic will here be defined … Continue reading

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 3 Comments

Sign Relations • Anthesis

Thus, if a sunflower, in turning towards the sun, becomes by that very act fully capable, without further condition, of reproducing a sunflower which turns in precisely corresponding ways toward the sun, and of doing so with the same reproductive … Continue reading

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 1 Comment