—“In Natural Law, what would represent the radix? Moreover, as in mathematics where the radix point separates integers from fractionals, would you say in Natural Law the radix point exists between ordinary language and opining?”—Billy Law-Bregan
Smart. Good thinking. Good question.
In mathematics the radix is the base set of names of positions (nouns), before restoring to positional naming (multipliers of the base: phrases). The grammar of mathematics adds the possible operations (verbs), all of which are variations on addition or its reverse, subtraction (transformations), and the only possible tests of positional comparison, less, equal, or greater (equilibria), an the only possible test of agreement (truth, false, undecidable)
In law, the equivalent of radix (base nouns) consist of the vocabulary of actionable references given human facility for sensation, perception, intuition (nouns, names, referents), the vocabulary of operations (verbs, thought word and deed), and the possible changes in state (transformations), and the and the only possible tests comparison (possibility) and only possible test of agreement (empiricism-observation-action, logic-consistency-intuition-word, and experience-sense-perception-autoassociation ).
So yes the human grammatical facility, and the structure of grammar, the structure of transactions with that grammar(journal), and the epistemology of the story(ledger) is the same across every one of the grammars from deflationary (math) to functional (programming) to operational (natural law) to ordinary language to the inflationary grammars of narratives, fictions, fictionalisms, and deceits.
MATH: Actor (presumed), associated reference (object named by positional name), name of referent – number (positional name), transformation, change in state, consequence, external consequence, repeat, sum, total.
LAW: Actor, Action (name of human action), associated reference (object), transformation, change in state, consequence, external consequence, repeat, sum, total.
STORY: name of referent – actor, action, transformation, consequence, external consequence, repeat, sum, total
All grammars are the same and accounting, finance, and economics are the least error prone methods of describing human action. In this sense, law asks us for a full accounting of human actions so that we can test whether the statements are testifiable (fully accounted) or not, and if not, then how they are not fully accounted, and by deduction, why they aren’t. (ignorance, error, bias, wishful thinking, loading-farming, suggestion-obscurantism-overloading, the fictionalisms of sophistry, pseudoscience, or the occult, or outright deceit.
Ergo P-law fits in the sequence: arithmetic, accounting, programming, natural law, economics, group strategy.