The Nature of Distinction as a Universal and Multivalent Process

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The Nature of Distinction as a Universal and Multivalent Process

All things are subject to being distinctions for if they are not then they cease to be things.

If all things are distinctions and this universal process of distinction is distinct from itself as indistinction, so the distinction may be distinct, where indistinction is a distinction of distinction, then distinction is self embedding and exists at holographic level processes by degree it is nature.

By degree it thus effectively results in the nature of distinction being synonymous to a mobius strip type torus as both sides of distinction, distinct as distinct and indistinct as distinct from the distinct, exists as a mobius strip while simultaneously the loop is toroidal by nature as distinction is everpresent regardless of the degree of awareness with awareness itself being subject to this distinction.

Distinction is recursively transcendental to itself where distinction going beyond distinction results in distinction containing itself in one respect while being beyond itself in another respect where each respect reverts to a mobius type nature while the nature of the respect by which distinction is observed is but a distinction by which distinction becomes emergent and dissolutive it itself.

By nature distinction is paradoxical and yet thus paradox is rational as a paradox is the emergence of contrast by which things may be distinct. Paradox is necessary for distinction to occur and distinction is necessary for both what is and what is not.

Distinction thus has a fourfold nature:

1. Generation of distinction.

2. Mediation of distinction.

3. Containment of distinction.

4. Distinction as multivalently non-dual.

There can be nothing beyond distinction for what emerges and dissolves does so by being distinctions of emergence and dissolution.

In these respects distinction can be expressed in a basic non-traditional formalism where ● is both operator, as emergence, and operand, as structural form:

1. ● distinction

2. ●● distinction relative another distinction.

3. (●●)● the relation as a distinction.

4. ● distinction as empty and yet generative of itself.

1. ●

2. ●●

3. (●●)●

4. ●

1. Distinction is self-sealing as distinction contains distinction as distinction thus distinction is self-embedding, that which by nature is its own degree and context.

2. Distinction absorbs all further antithetical distinctions for the antithetical distinctions allow the inverse thetical and itself to be distinct by contrast.

3. Distinction cannot be negated without using distinction for the act of negation is a distinction.

4. The scaling of distinction is but the distinction of the relation of distinctions where the continuum of one distinction relative to another is but a ratio of distinctions as scale.

The distinction of distinction is but the continuum of distinction by which it negates itself by means of indistinction as the limits of distinction that allows it to occur. The negation of distinction is but contrast by which distinction emerges as its own limit as the indistinct is the limit of distinction thus distinction distinct from distinction. In these respects distinction is both presence and absence that reveals by degree of recursive generation:

1. Absence:

-

-- → +

(–)- → -

(–)-- → +

2. Presence:

++ → -

(++)+ → +

(++)++ → -

All distinctions are infinite in nature by degree of containing and being contained within infinite distinctions; a line segment is composed of and composes infinite line segments. In this respect distinction is continuous.

All distinctions are finite in nature as the limits by which the infinite distinctions are contained, finite as the foundation is present at infinite levels; a line segment may contain infinite line segments but is finite, a line segment may compose infinite line segments but the line segment exists at all scales. In this respect distinction limits.

Distinction occurs through the finite and infinite yet transcendental as finite and infinite are distinctions.

The selection of distinction is its emergence relative to other distinctions, by dissolution of others, and the relation of distinction as a new distinction. Selection is purely emergence as justification as what occurs is justified as the occurence itself for justification is the emergence of pattern and all distinctions are patterns by degree of self-embedding self contrast. To occur is to reveal, to reveal is to emerge, emergence is distinct by dissolution. Distinction is transcendental as process by means of limit change.

Distinction is self-evident by degree of self-containment as emergent pattern; distinction is not self-evident as contrast as divergent pattern; axioms and non-axioms are subject to being distinctions.

Abstract and empirical problems are the assertion of contexts where the asserted problem is the assertion of contextualization, change of context is the change and or neutralization of the problem, what does not dissolve, as the problem, when contextual shift emerges is revealed as the absence of coherence, stability or presence of patterns due to said problem as context(s). In these regards the negation of the problem is the negation of the context by degree of the emergence of how it unfolds potential further contexts thus necessitating not a problem solved but a problem transcended.

1. Reduction:

To reduce anyone one thing or things to another is but to result in unbounded infinite regress by which what a thing or things are reduced to is the act of reductive distinction itself as that is the only constant.

To reduce anyone thing or things to another is but to result in a finite foundational point by which what a thing or things are reduced to is a distinction that exists along the chain of analysis at all levels.

2. Convergence:

To converge a set of things into one effectively is an infinite process as the convergence of one set of things is another things that converges to further things thus an infinite process occurs.

To converge a set of things into one effectively is a finite limit as the convergence of one set of things effectively is finite as the set of things itself as the relational structure.

3. By nature distinction is both process, infinite divergence and convergence, and structure, finiteness as the divergent and convergence, and in these respects is both pattern and process. The pattern exists as a contained process, the process as the continuation of the pattern.

4. Pure deductive analysis, by means of divergence, is but contextual application so to reduce anyone thing or things by means of the context applied to direct it; Pure inductive analysis, by means of convergence, follows this same nature of applied context.