(~750 Words)
Language is a system of measurement, made commensurable using marginal indifference in body, sense, and perception, describing all of existence that’s reducible to analogy of human experience, consisting of a sequential stream of sounds or symbols, producing increasing precision(disambiguation), that by the process of continuous recursive disambiguation(sentences) of an identity(concept, experience, scene) upon which we consent to (agree to) some degree of shared meaning (shared experience), using the universal grammar of language, of evolution, of physics, of the quantum background, of existence: Evolutionary Computation by continuous recursive disambiguation of entropy(energy, disorder) into negative entropy(mass, order), thus creating complexity by the defeat of entropy. We can describe the universe because language relies on the same logic as the universe.

Ok so that’s high level how language works, and why it’s a sharable experience, and why we can gradually describe more of the universe with it – because it’s following the same rules as the evolution of all else in existence.

But what ‘measurements’ does language consist of?
Words. All words are names. Names of things that don’t change (nouns, pronouns, adjectives), names of things that are changing some state or other (verbs, adverbs,), names of their relations.

How does arithmetic differs from language?
Ordinary language consists of names of states, or changing states. So we can use verbs for actions(run), nouns to generalize them(movement), and adjectives that generalize temporary states (motionless).

Vocabularies consist of words that serve the need for the totality of expression in a population in human life.

Paradigms consist of subsets of vocabulary defining or limiting the dimensions permissible in the use of vocabulary, logic, grammar and syntax.

Human macro-paradigms are:
|Paradigmatic Evolution|: Embodiment > Anthropomorphism(counting) > Mythology(Arithmetic) > Religion(Math) > Philosophy(Geometry) > Empiricism(Algebra) > Science(Calculus) > Operationalism(Construction).

The paradigm of Arithmetic is extremely simple.
1. All names consist of ratios to whatever identity we choose to reference.
2. All operators are +, -, *, /, =.
3. All results of operations are equal, unequal, and unequal by less than or more than.

And the Consequences of the Vocabulary, Logic, Grammar and Syntax of Arithmetic are Very Simple

1. Arithmetic is an extremely minimal language that consists of names (digits, glyphs of position (positional vocabulary)), phrases (positional names), verbs (operators), and agreements (unequal, equal, and modifiers, less than and more than.)

2. The names are however context independent: they can refer to anything we choose.

3. Positional names are unique: so they are memory, conflation, inflation, and ambiguity independent.

4. Operations on positional names are also deterministic, operationally closed, logically closed, and ambiguity invariant, and as such arithmetic operations are interpretation independent.

5. Positional names are unlimited in construction. So by combining unlimited construction and context independence we achieve scale independence.

6. We perform mathematics in our minds even if we record it with tools. As such arithmetic operations are also time and cost independent.

7. And given that it can be written, arithmetic is memory, and visualization independent.

CLOSING

So, while ordinary language that describes the existential world is vulnerable to context, ambiguity interpretation, scale, time, and cost variation, arithmetic REMOVES THOSE DIMENSIONS from the paradigm, with it’s simple paradigm, vocabulary, logic, and grammar. As such we have no choice but to follow simple rules of addition subtraction, multiplication and division in order to sense, perceive, and judge that which is otherwise beyond our perception, comprehension, memory, and reason.

This is why arithmetic works.

It’s an innovation in language and writing that extends our capacity beyond our native memory perception and reason.

And when combined with the balance scale of double entry accounting lets us weigh and measure complex human cooperation at extraordinary scale and complexity over extraordinary time.

Now, this is the basis of understanding all paradigms. What dimensions, terms, and agreements are necessary and which are prohibited in order to prevent human vulnerability to variations in context, ambiguity, interpretation, scale, time, and cost – and lying.

The unification of the sciences whether formal (language and logic), physical, behavioral, or evolutionary, can be achieved through this same analysis and the disambiguation of terms such that they are universal across the sciences instead of unique to them, and the uniqueness necessary in the sciences is derived from and explain d by the universal definitions that are constructed from the first principles: evolutionary computation of the defeat of entropy by the discovery of persistency in the form of ever increasing organizations of complex mass.

Cheers
Curt Doolittle
The Natural Law Institute