(FB 1547059043 Timestamp)
THE LANGUAGE OF MATHEMATICS AND MAN
Mathematics is just the most SIMPLE possible language since it has only one property: positional name. And positional names are unique and perfectly deflationary (non-conflationary) and as such very difficult to subject to our principal category of error: conflation.
LET’S TAKE A JOURNEY:
A CHANGE IN STATE (TIME) consists of entropy at the local rate of entropy.
An INTERVAL (CHANGE) of time consists of a change in state.
EXPERIENCE(PERCEPTION) consists of the conflation of sense-perception, memory, and neural prediction with that memory, over some interval of time.
A set of CONSTANT RELATIONS (CATEGORY) consists of a set of properties reducible to analogy to experience, and commensurable (differentiable) by human experience.
A REFERENCE (ASSOCIATION) consists of a set of constant relations.
CORRESPONDENCE (NAMES) consists of a name (INDEX) of a comparison of indifference between a name (referrer) and a reference.
NUMBERS (NOUNS) consists of positional names, and the correspondence of positional names with some referent.
ARITHMETIC (VERBS) consists in the study of the grammar of numbers, and the properties possible operations upon and between them (addition, subtraction, and their iterations in multiplication, and division).
ALGEBRA (GRAMMAR) consists in the study of the grammar of mathematical language: the production of well form statements in mathematical language, and the manipulation of symbols (words, phrases, sentences) in that mathematical language, allowing for the deduction, induction, abduction, and guessing of the missing content of those statements, or range of possible content of those statements.
A DIMENSION (PHRASES) consist of a set of constant internal relations, and each additional dimension consists of a shared dependency between dimensions the accumulation of which produces a chain, hierarchy, or network of dependencies.
A dimension can refer to any difference reducible to analogy to perception by the human mind, and therefore capable of commensurability, comparison, and decidability.
GEOMETRY (SENTENCES) consists in the study of dimensions of STATEFUL shapes described by positional relations we call numbers, in n-number of dimensions (although most commonly in four), and the use of triangles to measure area and volume.
CALCULUS (MEANING) (from Latin calculus, literally ‘small pebble’, used for counting and calculations, as on an abacus) is the mathematical study of continuous change.
It has two major branches:
a) Curves: differential calculus (concerning instantaneous rates of change and slopes of curves), and;
b) Curved Areas: integral calculus (concerning accumulation of quantities and the areas under and between curves).
–“These two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. (marginal indifference).”–
This paragraph consists of nonsense-speech.
Calculus, like geometry, uses a very large number of approximations of the area under a curve, where we choose some arbitrary degree of precision to determine the smallness of each approximation. This means that all measurements must specify some point of marginal indifference, (scale dependence, ‘limit’).
HIGHER MATHEMATICS (DEDUCTION, INDUCTION, ABDUCTION, GUESSING), (most analysis) consists in using the available set of constant relations, and some combination of negative (deduction) and positive (construction) to engage in trial and error, to narrow the range of possible solutions.
EMERGENT PATTERNS OF CONSTANT RELATIONS
Any and all networks produce patterns of constant relations (‘symmetries’) of that which is frequent and possible and that which is infrequent or impossible. We then can name these symmetries, assign them positional names, and repeat the descriptive language we call the process all over again.
This is how the universe functions from its yet unknown time-space substance, to the quantum level of behavior upon it, to the atomic level of behavior upon that, to the carbon level beyond that, to the life, the complex life, to the sentience beyond that. One level of operations produces some maximum set of operations which is then results in some maximum set of operations until we have reason, and mathematics, and sufficient knowledge to forecast (imagine, predict) potential alternative ‘sentences’ and act upon them to change state ourselves, and to capture the energy from having done so, so that we ourselves continue to defeat entropy.
All Reason consists of this using this series, all of which are simply statements of available information:
7. Free Association
In reasoning we can either:
1. construct (justify),
2. test (falsify)
3. continuously recursively disambiguate.(analyze with language)
4. eliminate by trial and error in construction, falsification, and analysis.
5. eliminate by trial and error in the market for application.
We can deceive by:
1. Failure of due diligence
3. Obscurantism, loading, framing
8. Environmental deceit (saturation, popaganda)
EVERYTHING WE DO FOLLOWS THE SAME EPISTEMIC PROCESS
The competition between:
1. construction by continuous recursive disambiguation (free association), and;
2. continuous prediction (anticipation), and;
3. continuous falsification (elimination).
In this order:
1. Experience (market for association in memory) >
2. Free Association (prediction/falsification in reason) >
3. Hypothesis (criticism/falsification in testing) >
4. Theory (criticism/falsification in application ) >
5. Law(survival) >
6. Habituation (presumption) >
7. Revision (iterate)
Philosophizing only tells us if something is false. Nothing more
The only means of due diligence is falsifying each dimension of possible human perception:
1. survival from falsification of identity
2. survival from falsification of internal consistency (logic)
3. survival from falsification by external correspondence (empiricism).
4. survival from falsification by operationalization and operational description.
5. survival from falsification by subjective test of rational choice
7. survival from falsification by reciprocal test of rational choice.
8. survival from falsification by tests of limits and full accounting (scope).
9. survival from falsification by of internal consistency across all of these methods of due diligence (coherence).
In summary, operational grammar is the same as mathematical grammar: extremely difficult to circumvent tests of deflation and disambiguation in that hierarchy of real world dimensions.
The human body, intuition, and mind, is a standard of measurement because of the marginal indifference of perception cognition and action, and the ‘grammar’ of operations, provides continuous consistency from the subatomic universe to the experiential.
Once you understand this, the demand for ePrime (operational language), in complete sentences will be rather obvious.