Category Archives: Relation Theory

Survey of Cybernetics • 2

Again, in a ship, if a man were at liberty to do what he chose, but were devoid of mind and excellence in navigation (αρετης κυβερνητικης), do you perceive what must happen to him and his fellow sailors? Plato • … Continue reading

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Sign Relations • Discussion 14

Re: Cybernetics • Cliff Joslyn (1) (2) (3) (4) Dear Cliff, A few examples of sign relations and triadic relations may serve to illustrate the problem of their demarcation. First, to clear up one point of notation, in writing there … Continue reading

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Sign Relations • Discussion 13

Re: Cybernetics • Cliff Joslyn (1) (2) (3) Dear Cliff, Backing up a little — Whether a thing qualifies as a sign is not an ontological question, a matter of what it is in itself, but a pragmatic question, a … Continue reading

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Sign Relations • Discussion 12

Re: Cybernetics • Cliff Joslyn CJ: For a given arbitrary triadic relation (let’s say that and are all finite, non‑empty sets), I’m interested to understand what additional axioms you’re saying are necessary and sufficient to make a sign relation.  I … Continue reading

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Sign Relations • Discussion 11

Re: Cybernetics • Cliff Joslyn CJ: For a given arbitrary triadic relation (let’s say that and are all finite, non‑empty sets), I’m interested to understand what additional axioms you’re saying are necessary and sufficient to make a sign relation.  I … Continue reading

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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

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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

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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

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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

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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

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