All meaning is subject to the context in which it exists; hence the relation of both context and the context of that context exists as meaning itself.
This statement is universal and hence has no context except as itself, hence is intradimensionally directed; therefore the prior statement is negated while existing as true if and only if it continually expands, hence is extra dimensionally directed.
From this statement all meaning maintains simultaneously positive and negative values, as both existing and lacking in existence; contradiction as a deficiency in reasoning is a statement of incompletion, hence relation, and does not exist on its own terms. Structure through reason is meaning with philosophy existing as the means of reasoning with knowledge as order through structure.
What we understand of meaning effectively is one of context where one context is both composed of and composing further contexts. The nature of context is synonymous to a nature of framework or a dimension as a set of limits.
All context existing through context observes context effectively existing through itself with the nature of context itself being defined by a from of self-directed, or intradimensional, direction where the context directed to context observes context specifically as direction. This intradimensional nature of context observes context as existing as a positive reality in itself where the self-directed nature of the context inevitably observes intradimensionality as a form of meaning.
This meaning through self-direction, or intradimensionality, exist duallys as self negating as a negative statement where the percieved unity of context through context as context effectively is absent of any direction except towards itself, hence is deficient in progressive expansion necessary for definition. This is considering while context may exist through context as context, context effectively is undefined, except as itself hence maintains a degree of deficiency in definition synonymous to a contradiction. This absence of progressive definition effectively negates the definition of context under its own terms.
What we understand of contradiction is primarily a deficiency in structure. We observe something and this observation is not proportional in one degree or another as proportionality is determined by symmetry with symmetry resulting in balance.
Take for example the simple math problem 2 + 2 = 5
By all accounts this qualifies as a contradiction. The problem occurs with what forms the contradiction itself. "2", "+", "2", "=" and "5" are all axioms in themselves and true on their own account. The structuring of these axioms results in a disproportionality that inherently leads to a deficiency in "structure".
In this respect all contradictions fundamentally are a deficiency in structure and not a thing in themselves. This deficiency in structure can be purely:
1) subjective (as a person claims it is contradictory because it is not proportional to the axioms they observe)
2) objective (2 + 2 will always equal 4 therefore it cannot equal 5)
As all contradiction is strictly deficiency in axiomatic structure, the nature of contradiction is neutralized through structural propagation.
The continual propagation of structure, which may appear random, does not imply contradiction. Structures which may appear contradictory, such as 2 + 2 = 5, may not always contradict if they continually reflect through an observer as a unifying median. To further this example:
2 + 2 = 5
→
2 + 2 ≠ 5
→
2z + 2z = 5 ↔ z = 1.25
→
2x + 2y = 5 ↔ {x = |1...0| y = |1.5…2.5|} ∨ { x = |1.5…2.5| y = |1...0|} with x≜y
→
ad infinitum; therefore:
2 + 2 = 5 ↔ (2 + 2 = 5) = -□
In this respect all axioms maintain a degree of contradiction where they lack symmetry or balance. However observing the contradiction as a contradiction is a simultaneously solution.
In this respect all axioms maintain a duality of truth and falsity as contradiction exists where definition is deficient.
This nature of meaning as positive being through structure as reason and negative being through absense of structure as contradiction observes meaning itself as both being and negative being with being effectively existing through its directive qualities that give rise to context as structure; hence reason.
This positive and negative nature of intradimensionality further mirrors through its opposing dual of extradimensionality.
Intradimensionality is positive as self-maintaining and Extradimensionality is negative as progressing past its origins effectively being without self-maintaining structure.
Extradimensionality is positive as continually defining through a progress of definition and Intradimensionality is negative as self-maintaining as no progressive or further definition occurs which maintains definition.
Intradimensional direction of context and Extradimensional direction of context effectively exist as duals which simultaneously rotate through eachother through a direction of one into another as necessary for meaning as meaning must be simultaneously maintain itself through self-direction and progressive direction past itself. In these respects the respective positive and negative values, which give premise to the variation of this dualism (as Intradimensional and Extradimensionality are both positive and negative relative to their positions at the same time in different respects).
The value of positive and negative, as being and deficiency in being, effectively gives form to meaning as existence with existence occuring through a directive quality synonymous to movement where meaning exists as movement or even "use" in the terms of Wittgenstein. Structure, through context exists as a directive process with this process existing through further directive processes cycling back as structure itself in one respect and further directive processes in another.
Meaning exists through consistency and change as a center point from which both extend and in these respects meaning is a fundamental neutral value where reasoning as a form of structure is an act of definition by observing meaning and no-meaning. This can be further observed where Positive, Negative and Neutral are foundations of definition with all defintion being meaning as use where what is in use is effectively moving and directed.
1) What is positive exists fully. With all negatives being a statement of relation between positives where one positive exists through another and as such on its own terms is a defiency of the other. The multiplicity of positives repeating through eachother effectively observes a deficiency in the positives as being inherently separate.
The positive that is repeated is effectively connected through its symmetry even though the separation of the positive through multiplicity is a negative state. All positivity as existence, is a directive quality with this directive quality existing through the replication of symmetry. Hence a positive can only be viewed through a negative as the similarity of a quality through its repitition of symmetry observes an inherent disconnect or absence of direction.
2) What is negative is a deficiency within existence and not a thing in itself. All absence of deficiency is positive where a deficiency observes a state of relation of multiple positives with all multiplicity observing a state of disconnected.
Considering all positive repetition of symmetry observes an effective oneness of the symmetry being repeated considering it is the same, negative qualities observe a state of disconnected where the negative is an absence of direction and not a state of existence in itself.
Considering a negative can only be viewed through a positive what the negative observes as absence of direction effectively is a form of connection dually where the separate phenomena had a relatively prior state of unity hence are extensions of eachother.
3) A positive which cannot be observe without a negative, observes the limits of the positive as having an existence through grades as it maintains a deficiency. This in turn observe a positive neutrality as "both positive and negative"; hence neutrality is observed gradation being a thing in itself hence positive.
4) A negative which cannot be observed without a positive, observes the positive as having an either/or condition in which the positive exists either as one thing or another as a thing in itself. This in turn observes a negative neutrality as "either positive or negative" (existing fully or in grades).
5) All neutrality as the foundation of positive and negative values effectively maintains these positive and negative values while directing towards them as well. So where positive and negative lead to neutrality, neutrality as positive or negative leads back to positive and negative while effectively extending past them.
6) All meaning exists through neutrality as a summation of positive and negative values with neutrality observing value as a form of mediation in itself as it gives structure by acting as a directive quality. A value is a means of direction.
7) All meaning as both intradimensional and extradimensional direction, fundamentally being neutral observes meaning as interdimensional where neutrality is effectively between intradimensional and extradimensionality effectively as both. synonymous to an expanding form of intradimensionality with expansion being intradimensionally direct. Under these terms, direction and meaning exists strictly "as is" with meaning as use, and use as existence, observing all existence as meaningful.
All meaning, where existence is "just is", observes meaning itself as having inherent directive qualities where direction exists through movement and movement exists through direction.9) THE dualism of movement and direction exists fundamentally as limit with all limit having simultaneously positive and negative, therefore positively neutral, qualities.
While the dualism of movement or direction as one being positive or negative respectively observes a negative neutrality where one acts as a grade of the other hence observing "no limit" or possible limit.
Under these terms positive neutrality exists as an "and" statement and negative neutrality as an "or" statement. Where "and" observes a positive nature as existing structure and "or" observes a negative quality of seperation
"And" observes a quality of reptition as connection where the repitition of symmetry effectively acts as a connector or unififying median and hence has positive qualities synonymous to addition.
"The dog and cat are animals." "The dog and cat are walking." These sentences observe respective thesis and antithesis, with thesis and antithesis existing as positive or negative states relative to point of origin effectively connected through a symmetry of qualities, conducive to a form of repitition, through "animals and ""walking".
"Or" observes an absence of repitition as separation where the repitition of symmetry stops and hence acts as a negative quality conducive to subtraction.
"The dog or cat are property." "The dog or cat are walking." These sentences observe respective thesis and antithesis, with thesis and antithesis existing as positive or negative states relative to point of origin effectively separated by an absence of symmetry in qualities, conducive to an absence of repitition, through "property" and "walking".
Note: This may be viewed as an inversion of the "and/or" state in Boolean algebra.
10) Point 9 in turn exists as both an intradimensionaly and extradimensionally directed, hence is interdimensional, with point 1 projecting extradimensionally (past itself) to 9 and 9 projecting extradimensionally to 1. The alternation of 1 to 9 and 9 to 1 observes points 1,2,3,4,5,6,7,8,9 as intradimensionally directed under each other and self maintaining while progressing to point 10.
11) Points 1 through 10 observe the limits of the argument as both extradimensional