Cactus Language • Semantics 1

Alas, and yet what are you, my written and painted thoughts!  It is not long ago that you were still so many‑coloured, young and malicious, so full of thorns and hidden spices you made me sneeze and laugh — and now?  You have already taken off your novelty and some of you, I fear, are on the point of becoming truths:  they already look so immortal, so pathetically righteous, so boring!

Nietzsche • Beyond Good and Evil

The discussion to follow describes a particular semantics for painted cactus languages, showing one way to link logical meanings with the bare syntactic forms of linguistic expressions.  Forging those links between signs and intents gives the parametric family of formal languages in question one of its principal interpretations.

We’ll keep that interpretation in our sights for the time being but it must be remembered it forms just one of many such interpretations which may be conceivable and even viable in the long run.  Indeed, the distinction between the sign domain and the object domain can be observed in the fact that many languages can be deployed to depict the same set of objects while any language worth its salt is bound to give rise to a host of salient interpretations.

Resources

cc: Academia.edu • BlueSky • Laws of FormMathstodonResearch Gate
cc: Conceptual Graphs • CyberneticsStructural ModelingSystems Science

This entry was posted in Automata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Equational Inference, Formal Grammars, Formal Languages, Graph Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Propositional Calculus, Visualization and tagged , , , , , , , , , , , , , , , , . Bookmark the permalink.

2 Responses to Cactus Language • Semantics 1

  1. Pingback: Survey of Animated Logical Graphs • 8 | Inquiry Into Inquiry

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