Extension of a paper I am working on:

Relativity, due to its dependence of flux through the manifestation and relations of partials, is equivalent to an observation of the deficiency of a whole through relations.

It is in this respect that Relational logic has similarity to "fuzzy logic contain immeasurable degrees of truth observed by a number between 1 and 0" (Hájek) as a gradation of non-existence and existence. This fuzzy logic implies a necessary duality of "Actualities" and "Potentials" as fractals or what is most probable.

Relativity, in turn, can paradoxically be observed as a dimension of fractals manifesting fractals through divergence. In this respect, Relationalism as a relation of Pi expresses itself through infinite fractal logic and in a further respect corroborates with infinitism as an ever approaching movement towards zero. Russell's observations that atoms are the limit of analysis” and “the final residue in analysis”. However, he simultaneously argued that “analysis could go on forever”, “ad infinitum” (Russel's Logical Atomism).

It is in this infinite fractalization as infinite points that leads to a series of questions: “Is a blurred concept a concept at all?"—Is an indistinct photograph a picture of a person at all? Is it even always an advantage to replace an indistinct picture by a sharp one? Isn't the indistinct one often exactly what we need? Frege compares a concept to an area and says that an area with vague boundaries cannot be called an area at all” (Wittgenstein, Philosophical Investigations) and much can be implied to the nature of logic in this regard.

However, Fuzzy Logic is still Fuzzy Logic as the observation of a fractal as a degree of a whole in many respects is a whole. And regardless of this “degree” of whole, The observation of fuzzy and clear is the observation of the median point between certain boundaries which are in a continual flux, with this flux itself forming further points which manifest further symmetries. It is in these further symmetries that “instead of producing something common to all that we call language… these phenomena have no one thing in common which makes us use the same word for all,— but that they are related to one another in many different ways. And it is because of this relationship, or these

relationships, that we call them all "language". (Wittgenstein, Philosophical Investigations)

The problem occurs as the interrelations of logistic particles exist if and only if there is divergence of particles; therefore, relations exist if and only if there is divergence and can never be strictly observed as they are never really unifying. Relativity is fundamentally an observation of logistic negative space curving logistic positive space, and logistic positive space curving logistic negative space.

Now where Relativity can be equated as a form of logical Holism, it must be observed that it relates better through logistic Atomism as Relativity, much like atomism, is the observation of particulate.

It must be noted that Wittgenstein later rejected Logical Atomism, (Wittgenstein) along with Russel. However, it must be noted that this view is actually correct when viewed strictly as a "negative dimension" that moves towards structure as the relation of separate dimensions; thereby manifesting a greater whole as an extension of itself as each "particulate", "fact", or "atom" is a "temporal whole".

In this respect, Logical Atomism must manifest as a micro state of divergence requiring a greater "whole" similar to Russel's Logical Holism. In a further respect, Wittgenstein and Russel are in many respects paradoxically wrong about being wrong as what they observed was a dimension of Logistics, not a be all end all.

Atomism was perceived to have failed because it was required to be "a whole law", not an "atomic law" and therefore could neither reflect a greater "Holism" nor relate to it. In many respects, Russel and Wittgenstein where right.

The independence of logistic quantums and particulate in turn argues that each exists as a degree of "truth", and in this respect, are "wholes". In this respect, and only in this respect, they exist, however it is because of their relations. An observation of Wittgenstein claims:

4.211 It is a sign of a proposition's being elementary that there can be no elementary proposition contradicting it. (Wittgenstein, Tractatus Logico-Philosophicus)

As each logistic particulate and quantum exists as a relation, relations do not contradict but rather defined. The logistic particle and logistic quantum only contradicts if it is relative to itself, as it fundamentally must keep diverging.

5.134 From an elementary proposition no other can be inferred. (Wittgenstein, Tractatus Logico-Philosophicus)

Relations are not causal, no inference can be made, only correlation. This lack of causality within Relativity stems mainly from the degree that it depends on "absence" through "divergence" or in seperate terms "individuation".

It is in this respect, all logistic particles and cannot infer other logistic particles, they may only correlate to them as relations are acausal. Assuming the logic reflects a degree of all scientific theories, as it does in math, it may be observed through the theory of 6 degrees of separation (xy) that logics particles may all be related to each other within a certain number of degrees. If this is the case, it applies a stronger case for logistics having a numerical dimension. As current research has not observed this is yet it must be observed as theoretical.