Re: Cactus Language • Preliminaries 9
Re: Cybernetics • Joe Bury

JB:

What does subcatenation and surcatenation mean?  Their definitions are not found in a dictionary.  I get the formulas you wrote but I don’t understand the meaning.

Thanks for the question, Joe,

The current presentation of Cactus Language is rather abstract and formal because that’s what we need for a fully computational parsing algorithm, and there’s quite a bit more to do on that score as we go, but I have written more intuitive introductions to the same material various times before — You might try one of the following for starters.

• Logical Graphs • First Impressions
• Logical Graphs • Formal Development

Keeping it short and simple as possible —

• Under the Existential Interpretation
• The syntactic connective of Concatenation is interpreted as the Logical Conjunction, which says all of its operands are true.
• The syntactic connective of Surcatenation is interpreted as the Minimal Negation Operation, which says exactly one of its operands is false.

• Under the Entitative Interpretation
• The syntactic connective of Concatenation is interpreted as the Logical Disjunction, which says some of its operands are true.
• The syntactic connective of Surcatenation is interpreted as the Dual of Minimal Negation, which says not just one of its operands is true.

Resources

• Cactus Language • Preliminaries
• 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