I think the problem nollidge is having with your assertion is that language is likely better described as "probabilistic" rather than "logical".
"The method must be logical in its formation because otherwise it can't be sure it is understood by both parties."
Isn't true in any description of language. You can't be 0/1 sure that language will be understood by both parties. You can only make a guess that probably the way I'm producing communication symbols will probably be understood by the receiver. If the probabilities align, then communication has succeeded...but a 1:1 production-to-understanding ratio almost never happens.
Receivers of communication understand some percentage less than 100% every time. But it's their own internal models of the language that let's them fill in the gaps. You as a communication producer hope that they are filling in the gaps with a model that's close enough to your model that everything works. And for the most part it does, we're pretty good at it, but miscommunication occurs dozens of times a day, every day for every daily set of communication events.
"The method must be logical in its formation because otherwise it can't be sure it is understood by both parties."
Isn't true in any description of language. You can't be 0/1 sure that language will be understood by both parties. You can only make a guess that probably the way I'm producing communication symbols will probably be understood by the receiver. If the probabilities align, then communication has succeeded...but a 1:1 production-to-understanding ratio almost never happens.
Receivers of communication understand some percentage less than 100% every time. But it's their own internal models of the language that let's them fill in the gaps. You as a communication producer hope that they are filling in the gaps with a model that's close enough to your model that everything works. And for the most part it does, we're pretty good at it, but miscommunication occurs dozens of times a day, every day for every daily set of communication events.