Along with the distinctions we see evolving among different styles of grammar and the preferences different observers display toward them, there naturally arises the question:  What is the root of that evolution?

One dimension of variation in formal grammar style can be seen by treating a union of languages, and especially a disjoint union of languages, as a sum by treating a concatenation of languages as a product and then by distinguishing the styles of analysis favoring sums of products from those favoring products of sums as their canonical forms of description.

If one examines the relationship between grammars and languages closely enough to detect the influence of the above two styles and comes to appreciate how different grammar styles may be used with different degrees of success for different purposes then one begins to see the possibility that alternative styles of description might be based on altogether different linguistic and logical operations.

Resources

• Cactus Language • Pragmatics
• Survey of Animated Logical Graphs
• Survey of Theme One Program

cc: Academia.edu • BlueSky • Laws of Form • Ma^thstodon • Research Gate
cc: Conceptual Graphs • Cybernetics • Structural Modeling • Systems Science