Relativity, Negation and Atomism

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Relativity, Negation and Atomism

Postby Eodnhoj7 on May 24th, 2018, 11:25 am 

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.
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Re: Relativity, Negation and Atomism

Postby Eodnhoj7 on May 25th, 2018, 11:06 am 

Dual Argument to Relativity, Negation and Atomism

Reflection, Causality and Holism

Causality, due to its dependence on structure through the mirroring of cause through effect as cause, is equivalent to an observation of a whole through Reflection.

It is in these respects that logic maintains as an inherent element of Reflectivity that enables the boundaries, we know of as symmetry, to exist and form logistic structures for what they are. These logistic structures implies a necessary duality of causality and randomness as both "being" and "non-being".

Reflectivity (or "mirror effect"), in turn can paradoxically be observed as a dimension of unified space manifesting further dimensions of unified space as extensions of itself through summation. In this respect, Reflectivism as a mirroring of Pi expresses itself through infinite structural extensions of three as all known number. In a further respect it corroborates with infinitism as an ever existing "1".

A mathematical object, therefore logistic object, is considered symmetric if the operation applied to this mathematical, or logistic, object preserves this object or some property of it. (Morris) It is in this respect that reflection is a form and function of symmetry as the preservation of the axiom as itself. This understanding of symmetry in logic points to the necessity of understanding the nature of circularity within logic as strictly an extension of perpetual unity.

William of Ockham, in Summa Logicae part II, presents an observation of a unifying median through: "every A is B' is true if and only if there is something for which 'A' stands, and there is nothing for which 'A' stands, for which 'B' does not also stand." (Schuurman) A and B can be synonymous with Φa → Φb, implying William of Ockham first observing an inherent reflective nature within logic connected by a unifying median.

However, where Reflectivism differs is in the respect that this is not an isolated logical example as Ockham observes but a universal underlying nature within all logic. This universality “finds expression in questions as to the essence of language, of propositions, of thought.—For if we too in these investigations are trying to understand the essence of language—its function, its structure,—yet this is not what those questions have in view. For they see in the essence, not something that already lies open to view and that becomes surveyable by a rearrangement, but something that lies beneath the surface. Something that lies within, which we see when we look into the thing, and which an analysis digs out.” (quote Wittgenstein philo invest) 43e.

The mirror effect is the essence of the logistic structure as unity.

It is in this infinite unity that leads to a series of question: "Is a structure unified at all if it reflects further structures?" "How can there be unity through multiplicity?" "Is space strictly a unity as reflection?"

However, logic is still logic as the observation of structure as "whole". Regardless of the causal nature of this structure, the observation of cause and effect is the observation of a structure as being, with the limits of this being manifested through a deficiency in that structure through randomness inherent within the approximate nature of effect. In these respects the boundaries always exists for what they are, as boundaries, and a structure is unified for what it is, a structure. This structure maintains itself through the mirroring of other structures, ad infinitum, and what we understand of being can be observe through space mirroring itself as a unified entity.

The problem occurs as the reflection of logistic structures implies some degree of movement, and movement implies some degree of instability. In these respects Reflectivism is fundamentally an observation of logistic positive space mirroring itself through an eternal act of intradimensional reflection which contains no movement. All observation of randomness, or absence of unity, is strictly the boundary of unity existing as itself.

In these respects Reflectivism can be equated as a form of logical holism, as all structural extensions of the one are merely the result of space as unity mirroring itself. No seperation can be implied and logical atomism can not be observed.

This view of Logical Atomism, Rejected later by Russel and Wittgenstein, observes the inevitably of Holism as a logical necessity for existence as structure and in these respects equates Holism to a Positive value.

Logical Holism manifests logical Atomism as strictly a structural extension of itself through approximation as a dual contruct inevitably the result of randomness inherent with the limit of being. Considering Holism manifests as a causal structure, multiplicity as logical atomism is strictly a deficiency with cause as acausal randomness or movement.

Holism is causality through a mirror effect as structure; it maintains this unity through an intradimensional nature of reflection.

It is in this respects, all logistic structrures are inherent connect to further logistic structures as binding medians and this connected as structure manifests as cause in itself perpetually reflected through effect as approximate cause. This approximate nature of cause, through effect, in turn reflects the limits of this infinite unity as a perpetual boundary of one.
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Re: Relativity, Negation and Atomism

Postby Eodnhoj7 on June 11th, 2018, 11:36 am 

Nothingness is merely an observation of relation, as a gradation of unity in being through multiple unit-particulate relating. Take for example the very same empty space, that space is merely empty if and only if their are boundaries to that vary same space. In simpler terms when we view emptiness what we view is merely an absence of something relative to something else.

So let's say we have an empty vessel, a cup, the cup may in itself be empty but that does not take away from the observation of emptiness merely being an observation of the cup for the "emptiness" is merely an observation of how the cup relates to its immediate environment.

Now let's apply this is to space and specifically focus on the grammar of the argument: "empty space".
Intuitively, through the language itself, we can observe that space acts as a boundary in its own respect as emptiness is merely an observation of a relation, or one could even call it a gradation of, space.

The question occurs then: "how can space be empty if space cannot be reduced to anything other than space"? Considering, using the cup example again along with the aforemention grammatical example of "empty space", we can observe that space acts as a boundary of dimension. From these respects we observe the empty space is merely:

1) An observation of the inherent dimensions that form boundaries.

2) These boundaries, as space, are absent of further boundaries of space.

3) From the above we can observe, what may be implied as a paradox of "space being empty of space".

4) From this we can observe a constant that space is both limit and no-limit, or in simpler terms "limitless limit". This reflects further a quantitative understanding of "1" being both structure and absent of structure or the concept of infinity as "limit without limit".

5) Secondly from this we may observe that space is relation, or that it acts as unit-particulates that must relate to further unit-particulate, as they are not whole in itself. An empty space is merely a space that is absent of some other form of space, ie. a dimension acting as a boundary. From they with may observe that dimensions as boundaries, relate to further dimensions as boundaries

Using the empty cup example again, what we observe as emptiness is merely an absence of an implied relation conducive to that specific spatial dimension, in this case a liquid. However the cup may contain another spatial dimension, ie air/gas, in which it is not absent of. In these respects the observation of absence is an observation of relation, where one relation may not be present but another is. Now taking the cup example further and putting it is a vaccuum tube we may observe that is it absent in relation to any liquid or gas, however it may contain another spatial dimension such as particle waves (electromagnetic, gravity, etc.) which relate.

In these respects space acts as relation of dimensions as "units", particulate (parts of whole, fraction of, etc.). In these respects quantitatively space exists through "1" as both "unity" and "unit" and maintains a dual role of unity and multiplicity.
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