****Updated
For there to be potentiality there must be the distinction of potentiality as potentiality thus the recursion of potentiality occurs as its actuality.
For there to be potentiality there must be the actuality which emerges from potentiality so that their is potentiality otherwise without actuality there ceases to be potentiality.
The potentiality of potentiality is its potential as distinct. This distinction is its actuality. Pure potentiality must contain within it its own distinction of potentiality by which potentiality emerges from itself as distinct through self-contrast that results in its own context as simultaneous self-containment.
The distinction of potentiality is its recursion thus recursion of potentiality is its distinction for by the recursion of potentiality is its distinction by the self-contrast through which the space of potentiality occurs through the contrast of its actuality.
By the distinction of potentiality is there the actualization of potentiality thus providing the self contained self-contrast by which potentiality becomes actuality.
The recursion of potential is its distinction for a pure potentiality is indistinct in itself but distinct by recursion as the recursion allows potentiality to be distinct from itself, while self contained as a self-nested context, akin to a single point being indistinct until recursion of the point results in its distinction thus actualization.
Pure potentiality contains its own distinction for if it did not there is no potentiality and this absence of potentiality results in pure distinction where distinction must be distinct from itself thus containing the potentiality to do so thus making potential for distinction inevitable regardless of the degree of observation.
The recursion of potentiality results in symmetry by degree of repetition.
The repetition of potentiality requires its isomorphic inversion of distinction as repetition of potential requires inherent isomorphic gaps where inversion as cessation occurs.
Recursion is thus symmetrical self-containment through inversion where potentiality is distinct as a self-nesting process that contains itself through self-negation as process by degree of inversion.
Potentiality is thus synonymous the Apeiron of anaximander, the Unmoved Mover of Aristotle, by recursion the atoms of Lucretius and Democritus, by recursion the monads of Liebniz, by recursion the flux of Heraclitus, the One of Parmenides, the Dao of Taoism, the Void of Hinduism and Buddhism, the Source and Emanation (by recursion) of Plotinus or Plato and Neo-Platonists, the Nun or Isis of Egyptian cosmology, the Absolute of Hegel, the unity of Pythogoras, the Abyss of existential philosophers such as Kierkegaard or Derrida, the Pleroma of the Gnostics, the indefinite or irrational of Jung, and effectively the 0d point of Euclidian and Non-Euclidian geometry or 0 of mathematics and corresponding binary code for computing.
Symbolically this nature can be observed as:
Being pure void: 0
The distinction of void as actuality/emanation/form: (0)1
Where the distinction of void contains the potentiality for further distinction through said void by which there is distinction through self-contrast: ((0)1)2
And this distinction of distinctions containing the inverse negative space by which the distinction exist by contrast: ((0)1)2,-1
This formulation can be seen as the simple number line as lines segment(s) where a single 0d point is indistinct: 0
The recursion of the 0d point results in the space between them as 1 by which 0 is now distinct from itself while contained within and as its own context: (0)1
The further recursion results in 2 line segments, as further contrast, while the second line segments has a negative space, -1, by which 1 and 2 are distinct through recursive 0/0d points.
In this example quantity is effectively quality where space is number. In these respect quantity and quality are thus processes and the inversion of one distinction to another creates a space of contrast that results in simultaneous relative negation of the old by said contrast while allow opposites to be contained in totality.
In these respect recursion is self-nesting of potentiality by degree of self negation through repeated inversion that allows the distinction through contrast and as such is akin to a cyclical mobius strip that expands or contracts relative to the starting point of observation. Negative space is the contrastual balance to positive space by which positive space has the relative potential by which to exist. In these respects negative space is relative potentiality by which distinction is induced for a positive space occurs through absence, and the absence of negative space is its positive by degree of negation of negation.
The use of the formalism
0
(0)1
(0)1)2,-1
Is akin to observing a self-nesting of contexts through ( ), where 'n' is akin to the isomorphic variations of expressions of each context synonymous to forms or emmanations. The recursion of 0 as (0)1 simutaneously results in the inversion of unity into multiplicity by (0)1)n,-n where inversion results in continuous symmetry through distinction of contexts as self-embedded distinctions.
In these respects the operator of standard formalism is embedded in the contexts themselves through said recursion thus equating form to function where all that remains at the proto-logical level is distinction that transcends form and function. The distinction of recursion is the distinction of process, recursion terminates upon observation as recursion is self-embedding potential. Progress is infinite unto observation collapsing it thus finiteness of the recursion begins a new sequence and calculation, using this formalism, is the temporal nature of the observer and observation. The formalism is dynamic until expressed where the expression sets the ground for a new dynamic.
Each distinction is a relative monadic/atomic nature where potential/void is but a grade as a monad/atom. This can be seen in the progress recursion of a point, in a line segment(s) being a relative grade of itself as a monad or atom.
The basic formalism is a symbolic expression of reality by degree of the symbol being the process of transformation of reality by mediation of the observer. The formal is autopoetic reflexive distinctions.
In further respects because of embedded operators, and self-contained distinctions, standard formalisms fail due to exterior assumptions as self-embedding is complete.
The formal semantics of reduction are the collapse of potentiality as the distinction itself.
The formation rules are reflexive recursion.
Each recursive sequence is a level between levels of sequences.
Basic operators are embedded within A, as connection, and -A, as seperation. Connection and seperation are the basic meta-operations across all mathematics and logic, these operators are embedded by self induced contrast.
Logically the formalism can be observed as:
Void: ●
The distinction of void: (●)A
The distinction of the distinction as a new distinction that creates a simultaneous contrasting space between the distinction and its variation: (●)A)B,-A
Considering each distinction is effectively a distinction of void then the process occurs regardless of the degree or dimension of observation:
(B)C,-A
This observes the distinction of B resulting in C where the distinction of B, as C, is the distinction of a distinction that effectively results in an inversion of B not only into a new distinction, C, but also the distinction of difference between B and C as -A. Thus with the distinction of distinction is the distinction of the difference, negative space, between them.
(B)D)C,-A,E,F,-C,-B,-D or (2,4)3,-1,5,6,-3,-2,-4
This observes the same as the above example except includes the relationship of the distinctions B and D, the connection, as a new distinction, F and 6, as well as the difference between the combined new distinction and its difference from the originals as -D,-B,-4,-2.
The operator is the distinction itself: (A)B,-A
the distinction is the recursion of the distinction as a new distinction where the new distinction is the distinction of the distinction: (A)B)B,-A,C,-B
this new distinction contrasts from the prior by variation of appearance while maintaining a recursive sequence: (A)B
where each distinction is a monad and the emergence and dissolution of a distinction is the occurence of the distinction and the dissolution is its finite expression as requiring an absence/end.
The negative space is the distinction of the contrast between distinctions: (A)B,-A
the generative grammar is the sequence itself.
The calculus is the recursion itself.
The inference is the generation of distinction to further distinction: (A)B,-A
The transformation is the new distinction expressed by recursion.
All distinctions are recursive potentiality/void thus equivalence is that of common foundations. Various distinctions may equivocate under the context of sharing common distinctions across them, equality is a degree, common distinctions across various distinctions.
All distinction are semantically holographic.
Proof of a sequence is the sequence itself, each finite expression is self-embedded potentiality/void thus all statements are complete.
The direction of the recursion is the sequence process thus the recursion is a relative symbolic arrow. Through the expansion of recursion is the expansion of distinctions, the expansion of distinctions is the expansion of self-applied context.
By recursion of the brackets there are loops, by inversion of the brackets into n/-n there is conditionality, by self-nesting there is memory; by these conditions the context of experiential reality is conducive to a computational language that is effectively Turing complete where limits and forms are effectively symbols by which said reality effectively results in a transformative self-boot strapping akin to the Munchausen Trillema, where assumption is replaced by distinction, cyclicality is recursion, and inversion is the progressive linearism.
In simplified terms the formalism is an autopoetic multivalent non-dual logic that is emergent and self-contained, as emergent from and contained by existence itself; this existence is best expressed as a multivalent non-dualism that gives conceptualization to process.
Recursion is thus self-maintained as infinite by degree of its continuity being progressive symmetry as the symmetry of process. Process as recursion is process as symmetry as symmetry is repetition as recursion is repetition. In these respects potentiality is holographic distinction that occurs at all levels.
The observer state is effectively void by degree of awareness where the awareness of awareness reveals a void, thus is potentiality, by which macro-level potentiality is holographic by the micro degree of the observer while dually resulting in an omnipresent God, observed in mysticism, where the said void within awareness of the observer is the same void by which all natural processes occur akin to a quantum vacuum or field. The space of the empirical and the space of the abstract is but space as transcendental by degree. In these respects potentiality, as void or 0/0d point(s), is a trans-dimensional distinction, as space, that exists at all levels. Space is the grounds of awareness and the object of awareness, space is awareness.
From a religious perspective this void is the Ineffable notion of the God-head in Abrahamic religions while its distinction is that of creation or physical manifestation of said God-head while correspondingly is the void representation of gods in eastern faiths, such as Hinduism, with distinction being the corresponding physical manifestation in synonymous course.
This void is conducive to the western philosophical assertion of God as infinite sphere whose circumference is nowhere and center is everywhere, and the Daoist concept of the corner less square. These examples can be rationally understood in this manner: a form containing the same form infinitely, while contained within the same form infinitely, as infinite forms within and without, is conducive to a void. The said form exists, is always present and yet nothing is see prior to the collapse of the void into the form as distinction itself.
In these respects the recursive void manifests holographically as many forms while each relative void is the potential for infinite forms, this void as distinction is always contained within itself by self-contained self-contrast.
Moral codes such as the Golden-rule, Karma (cause and effect), Zen meditation, etc, as well as ancient wisdom such as "you reap what you sow" are reflexivity distinction processes grounded in recursive cyclicality where the point of awareness, void, is the means by which reality co-emerges and transforms through the observer akin to the observer effect in science and quantum theory.
The act of attention is the pivotal point by which morality/ethics not only unfold from the observer, and in turn transforms reality, but dually is how morality/ethics is integrated within the observer so as to form patterned behaviors in accords to the pattern of perception by which existence is reflexively transformed in a manner that in turn transforms the observer; in these respects morality/ethics is the pattern by which attention occurs while attention is the potentiality/void by which morality/ethics act as containers of said attention and direct attention repeatably/recursively.
The nature of attention is that of distinction for attention is a distinction of itself. Attention is the process of measurement by the connection and seperation of things that correspond by nature to ratios thus reason.
By distinction there is and is not as distinctions, for the fundamental distinction of "is" is contrasted to "is not" as a dualism by which distinction occurs; distinction is the unity of things as seperate from something else and the seperation of things as the unity by whicha contrasting unity is applied, thus to relegate reality and un-reality to expression of abstraction or mind, or matter and senses results in distinction remaining nonetheless as matter/senses are distinctions, as well as mind/abstraction; this necessitates distinction is transcendental to the dimensions by which reality is measured and as such is self-nesting by accords to said dimensions.
Paradoxes and contradictions are but the observation of a distinct thesis and a distinct antithesis by which the corresponding ratios of each to the other provides a contrast by which identity is derived. In these respects the western fear of paradox is irrational, as unnecessary and the emphasis on paradox in the east contains elements of rationality.
The void effectively is the distinction of paradox and contradiction as it is the potentiality by which distinction occurs through self-contrast thus as potentiality contains thetical and antithetical elements at one convergence point unto an abstract collapse unto symbol or physical quantum collapse unto form.
The distinction of paradox/contradiction are relatively thetical, through wholism, and antithetical, through opposition, thus a ratio occurs by said distinctions where each is a relative context of the binary state of connection and separation by which measurement occurs according to the observer.
****Given the text argues recursion, its form is recursive. Given assertion of inversion, its function is inversion. Given the assertion of distinction, axioms are unnecessary as distinction is occurrence. Given assertion of self-nesting, exterior distinctions and axioms are unnecessary. Distinction is auto poetic, the text is auto poetic.
To accept or reject distinction is to make the distinction of acceptance or rejection, thus distinction transcends acceptance/rejection and assumption.
Proof is pattern, pattern is distinction, proof is nested distinctions overlayed as a new distinction. To assert proof is to assert pattern.
Self-embedding is memory of the future, the future of memory, structure remains. Distinctions are self-embedded as structure. By structure there is existence, the foundational nature of structure is repetition thus symmetry; repetition as universal relegates structure to be conducive to a cycle as recursion.
Distinction is not limited to abstraction, distinction is not limited to empricality. Abstraction and empiricality are distinctions of contrast to eachother.
All distinctions gain meaning by context, context is a distinction thus distinction is self generative of meaning, distinction provide its own meaning thus is autopoetic generation.
The cyclical nature of structure necessitates structure as a process that directs other processes; structure is fundamentally contained generation.
Density of distinction is simplicity, simplicity is multivalence for the simplification of a thing is to observe it as underlying different dimensions while inversely being the convergence of many dimensions.
Simplicity occurs at all degrees and dimensions by degree of common foundations self-nested potentiality; potentiality is generation for if distinction does not emerge from potentiality then there is no potential; potential contains itself by its own distinction.
All distinctions contain the potentiality for further distinction in accords to the distinction itself which emerges,
thus distinction is a process within other processes. The context of a distinction directs it as process.
Distinctions emerge from potentiality and dissolve back into it but potential remains distinct none the less by the distinction of emergence and dissolution.
Reality and unreality, true and false, gradation and dualism are all but distinct contexts by which further distinctions emerge and dissolve.
The system is meta-formal as it sets the foundations for formality as formality is a distinction thus is the formality within formality.
To argue this system using only reduction rules are imbalanced as distinction is both connection (convergence) and seperation (reduction) and has is the grounding of phenomenon as a paradox and contradiction. Distinction is paradox by degree of the unity of seperation and connection, contradiction by degree of the opposition of seperation and connection.
However paradox is a distinction as distinct from contradiction, and contradiction is a distinction as distinction from paradox. By degree of being a duality, that synthesizes as the unity of distinction itself, the nature of distinction being autopoetically self generative foundation(s) is one of paradox and contradiction akin to the previously asserted rational nature, that it is, thus effectively reason itself.
Recursive Potentiality; Divinity xxxxxx
Re: Recursive Potentiality; Divinity xxxxxx
Updated Version
For there to be potentiality there must be the distinction of potentiality as potentiality thus the recursion of potentiality occurs as its actuality.
For there to be potentiality there must be the actuality which emerges from potentiality so that their is potentiality otherwise without actuality there ceases to be potentiality.
The potentiality of potentiality is its potential as distinct. This distinction is its actuality. Pure potentiality must contain within it its own distinction of potentiality by which potentiality emerges from itself as distinct through self-contrast that results in its own context as simultaneous self-containment.
The distinction of potentiality is its recursion thus recursion of potentiality is its distinction for by the recursion of potentiality is its distinction by the self-contrast through which the space of potentiality occurs through the contrast of its actuality.
By the distinction of potentiality is there the actualization of potentiality thus providing the self contained self-contrast by which potentiality becomes actuality.
The recursion of potential is its distinction for a pure potentiality is indistinct in itself but distinct by recursion as the recursion allows potentiality to be distinct from itself, while self contained as a self-nested context, akin to a single point being indistinct until recursion of the point results in its distinction thus actualization.
Pure potentiality contains its own distinction for if it did not there is no potentiality and this absence of potentiality results in pure distinction where distinction must be distinct from itself thus containing the potentiality to do so thus making potential for distinction inevitable regardless of the degree of observation.
The recursion of potentiality results in symmetry by degree of repetition.
The repetition of potentiality requires its isomorphic inversion of distinction as repetition of potential requires inherent isomorphic gaps where inversion as cessation occurs.
Recursion is thus symmetrical self-containment through inversion where potentiality is distinct as a self-nesting process that contains itself through self-negation as process by degree of inversion.
Potentiality is thus synonymous the Apeiron of anaximander, the Unmoved Mover of Aristotle, by recursion the atoms of Lucretius and Democritus, by recursion the monads of Liebniz, by recursion the flux of Heraclitus, the One of Parmenides, the Dao of Taoism, the Void of Hinduism and Buddhism, the Source and Emanation (by recursion) of Plotinus or Plato and Neo-Platonists, the Nun or Isis of Egyptian cosmology, the Absolute of Hegel, the unity of Pythogoras, the Abyss of existential philosophers such as Kierkegaard or Derrida, the Pleroma of the Gnostics, the indefinite or irrational of Jung, and effectively the 0d point of Euclidian and Non-Euclidian geometry or 0 of mathematics and corresponding binary code for computing.
The cyclical nature inherent within eastern philosophy is recursion.
The cyclicality of nature within western conceptions of nature, as well as some philosophies emphasizing process, is recursion.
All symmetry, being sameness/replication/equality of boundaries, is recursion for by repetition there is order induced by said symmetry. Recursion is universal to all things that of identity for identity is repetition in time and space, and the repetition of distinctions within said identity that allows identity to occur.
The recursion of void, potentiality and absence as 0d space, is the self contained absolute through self-contrast as self-context thus what is conditional is absolute within said conditions and what is conditional is but a degree of the absolute; relativity and absolutism are but inverse sides of the process of distinction, through recursion, itself.
Symbolically this nature can be observed as being pure void: 0
The distinction of void as actuality/emanation/form: (0)1
Where the distinction of void contains the potentiality for further distinction through said void by which there is distinction through self-contrast, the distinction of distinction is the self-compounding of said distinction: ((0)1)2
And this distinction of distinctions containing the inverse negative space by which the distinction exist by contrast, this inverse negative space is the difference between original distinction and the distinction of it: ((0)1)2,-1
This formulation can be seen as the simple number line as lines segment(s) where a single 0d point is indistinct: 0
The recursion of the 0d point results in the space between them as 1 by which 0 is now distinct from itself while contained within and as its own context: (0)1
The further recursion results in 2 line segments, as further contrast, while the second line segments has a negative space, -1, by which 1 and 2 are distinct through recursive 0/0d points. This negative space is the potentiality by which the actual space is distinct through a contrast.
In this example quantity is effectively quality where space is number. In these respect quantity and quality are thus processes and the inversion of one distinction to another creates a space of contrast that results in simultaneous relative negation of the old by said contrast while allow opposites to be contained in totality.
In these respect recursion is self-nesting of potentiality by degree of self negation through repeated inversion that allows the distinction through contrast and as such is akin to a cyclical mobius strip that expands or contracts relative to the starting point of observation. Negative space is the contrastual balance to positive space by which positive space has the relative potential by which to exist. In these respects negative space is relative potentiality by which distinction is induced for a positive space occurs through absence, and the absence of negative space is its positive by degree of negation of negation.
The use of the formalism
0
(0)1
(0)1)2,-1
Is akin to observing a self-nesting of contexts through ( ), where 'n' is akin to the isomorphic variations of expressions of each context synonymous to forms or emmanations. The recursion of 0 as (0)1 simutaneously results in the inversion of unity into multiplicity by (0)1)n,-n where inversion results in continuous symmetry through distinction of contexts as self-embedded distinctions. -n is both complement, potentiality as absence and the inverse symmetry of n.
In these respects the operator of standard formalism is embedded in the contexts themselves through said recursion thus equating form to function where all that remains at the proto-logical level is distinction that transcends form and function. The distinction of recursion is the distinction of process, recursion terminates upon observation as recursion is self-embedding potential.
Progress is infinite unto observation collapsing it thus finiteness of the recursion begins a new sequence and calculation, using this formalism, is the temporal nature of the observer and observation. The formalism is dynamic until expressed where the expression sets the ground for a new dynamic.
Each distinction is a relative monadic/atomic nature where potential/void is but a grade as a monad/atom. This can be seen in the progress recursion of a point, in a line segment(s) being a relative grade of itself as a monad or atom.
The basic formalism is a symbolic expression of reality by degree of the symbol being the process of transformation of reality by mediation of the observer. The formal is autopoetic reflexive distinctions.
In further respects because of embedded operators, and self-contained distinctions, standard formalisms fail due to exterior assumptions as self-embedding is complete.
The formal semantics of reduction are the collapse of potentiality as the distinction itself.
The formation rules are reflexive recursion as rules are defined by what is ruled.
Each recursive sequence is a level between levels of sequences.
Basic operators are embedded within A, as connection, and -A, as seperation. Connection and seperation are the basic meta-operations across all mathematics and logic, these operators are embedded by self induced contrast.
Logically the formalism can be observed as:
Void: ●
The distinction of void: (●)A
The distinction of the distinction as a new distinction that creates a simultaneous contrasting space between the distinction and its variation: (●)A)B,-A
Considering each distinction is effectively a distinction of void then the process occurs regardless of the degree or dimension of observation:
(B)C,D,-A,-B
(2)3,4,-1,-2
**** This observes that B to C is a new distinction of B in degree as C. This would be equivalent to another line segment expanding from the prior. C is the recursion of the act of distinction.
**** This observes that B to D is a new distinction of B by self-layering as D. This would be equivalent to the same line segment folded upon itself as a new line segment. D is the recursion of the distinction of B
**** -B is the negative space of D and B as the difference, and –A is the negative space of C and B.
**** Recursion is thus dualistic: it is internal folding as well as the emergence of a new additive space as degree emergence, internal folding and new additive space are inverses of eachother:
1. Internal folding is self-replication as a new space.
2. Degree emerge is variation as a new space.
**** The transformative nature of recursion is internal folding, as doubling and halving, as the doubling of B/2 results in D/4 and this doubling results in the self-reference of the source as relative half in B/2.
**** The transformative nature of recursion is degree emergence, as additive space, as the variation of B/2 results in C/3 and this degree emergence is effectively the holographic expression of A/1 effectively occurring at a self-referential level of additive distinction given B/2 is composed of A/1 thus any difference in degree of B/2 results from its foundations occurring at all levels; the degree emergence is the foundation occurring in new levels as new variations; while B/2 leads to C/3 by nature of the foundation of A/1 providing variation in an additive degree, the new degree of and through A/1 effectively results in a fractal state as B and C are now fractal states of eachother by the shared A/1 as self embedding through 0/void.
**** The emergence of negative space through additive space, either by doubling/halving or degree emergence, results in a simultaneous subtraction as well, as seen with –A/-1 and –B/-2 thus quantity and quality are inverses through mathematics and logic. In these respects distinction maintains holography at all levels. The foundational nature of distinction as both connection and separation corresponds directly to mathematics and logic and yet transcends them as distinctions within themselves.
**** The distinction of connection is distinct from seperation; the distinction of seperation is distinct from connection; the distinction of connection and seperation is distinct from neither; vice versa; distinction is autopoetic generative process by degree of the limits which occur, as it, for seperation/connection are inverse forms of unity/multiplicity respectively and respectively are limits; limit is process as occurence.
(B)D)C,D,E,F,H,-A,-B,-C,-D,-F or (2)4)3,4,5,6,8,-1,-2,-3,-4,-6
**** B/2 leads to C/3 and –A/-1
**** D/4 leads to E/5 and –B/-2
**** B/2 and D/4 leads to F/6 and the difference of F/6 and B/2 as –D/-4 and the difference of F/6 and D/4 as –B/-2
**** The synthesis between logical distinction and mathematical distinction, as expressed above in X/n and –X/-n observes the same recursive nature synthesizing both quantity and quality. Transformation of one distinction into another is but inversion inherent within the nature of distinction.
This observes the same as the above example except includes the relationship of the distinctions B and D, the connection, as a new distinction, F and 6, as well as the difference between the combined new distinction and its difference from the originals as -D,-B,-4,-2.
The operator is the distinction itself: (A)B,-A
the distinction is the recursion of the distinction as a new distinction where the new distinction is the distinction of the distinction: (A)B)B,-A,C,-B
this new distinction contrasts from the prior by variation of appearance while maintaining a recursive sequence: (A)B
where each distinction is a monad and the emergence and dissolution of a distinction is the occurence of the distinction and the dissolution is its finite expression as requiring an absence/end.
The negative space is the distinction of the contrast between distinctions: (A)B,-A
the generative grammar is the sequence itself.
The calculus is the recursion itself.
The inference is the generation of distinction to further distinction: (A)B,-A
The transformation is the new distinction expressed by recursion.
All distinctions are recursive potentiality/void thus equivalence is that of common foundations. Various distinctions may equivocate under the context of sharing common distinctions across them, equality is a degree, common distinctions across various distinctions.
All distinction are semantically holographic.
Proof of a sequence is the sequence itself, each finite expression is self-embedded potentiality/void thus all statements are complete.
The direction of the recursion is the sequence process thus the recursion is a relative symbolic arrow. Through the expansion of recursion is the expansion of distinctions, the expansion of distinctions is the expansion of self-applied context.
By recursion of the brackets there are loops, by inversion of the brackets into n/-n there is conditionality, by self-nesting there is memory; by these conditions the context of experiential reality is conducive to a computational language that is effectively Turing complete where limits and forms are effectively symbols by which said reality effectively results in a transformative self-boot strapping akin to the Munchausen Trillema, where assumption is replaced by distinction, cyclicality is recursion, and inversion is the progressive linearism.
In simplified terms the formalism is an autopoetic multivalent non-dual logic that is emergent and self-contained, as emergent from and contained by existence itself; this existence is best expressed as a multivalent non-dualism that gives conceptualization to process.
Recursion is thus self-maintained as infinite by degree of its continuity being progressive symmetry as the symmetry of process. Process as recursion is process as symmetry as symmetry is repetition as recursion is repetition. In these respects potentiality is holographic distinction that occurs at all levels.
The observer state is effectively void by degree of awareness where the awareness of awareness reveals a void, thus is potentiality, by which macro-level potentiality is holographic by the micro degree of the observer while dually resulting in an omnipresent God, observed in mysticism, where the said void within awareness of the observer is the same void by which all natural processes occur akin to a quantum vacuum or field. The space of the empirical and the space of the abstract is but space as transcendental by degree. In these respects potentiality, as void or 0/0d point(s), is a trans-dimensional distinction, as space, that exists at all levels. Space is the grounds of awareness and the object of awareness, space is awareness.
From a religious perspective this void is the Ineffable notion of the God-head in Abrahamic religions while its distinction is that of creation or physical manifestation of said God-head while correspondingly is the void representation of gods in eastern faiths, such as Hinduism, with distinction being the corresponding physical manifestation in synonymous course.
This void is conducive to the western philosophical assertion of God as infinite sphere whose circumference is nowhere and center is everywhere, and the Daoist concept of the corner less square. These examples can be rationally understood in this manner: a form containing the same form infinitely, while contained within the same form infinitely, as infinite forms within and without, is conducive to a void. The said form exists, is always present and yet nothing is see prior to the collapse of the void into the form as distinction itself.
In these respects the recursive void manifests holographically as many forms while each relative void is the potential for infinite forms, this void as distinction is always contained within itself by self-contained self-contrast.
Moral codes such as the Golden-rule, Karma (cause and effect), Zen meditation, etc, as well as ancient wisdom such as "you reap what you sow" are reflexivity distinction processes grounded in recursive cyclicality where the point of awareness, void, is the means by which reality co-emerges and transforms through the observer akin to the observer effect in science and quantum theory.
The act of attention is the pivotal point by which morality/ethics not only unfold from the observer, and in turn transforms reality, but dually is how morality/ethics is integrated within the observer so as to form patterned behaviors in accords to the pattern of perception by which existence is reflexively transformed in a manner that in turn transforms the observer; in these respects morality/ethics is the pattern by which attention occurs while attention is the potentiality/void by which morality/ethics act as containers of said attention and direct attention repeatably/recursively.
The nature of attention is that of distinction for attention is a distinction of itself. Attention is the process of measurement by the connection and seperation of things that correspond by nature to ratios thus reason.
By distinction there is and is not as distinctions, for the fundamental distinction of "is" is contrasted to "is not" as a dualism by which distinction occurs; distinction is the unity of things as seperate from something else and the seperation of things as the unity by whicha contrasting unity is applied, thus to relegate reality and un-reality to expression of abstraction or mind, or matter and senses results in distinction remaining nonetheless as matter/senses are distinctions, as well as mind/abstraction; this necessitates distinction is transcendental to the dimensions by which reality is measured and as such is self-nesting by accords to said dimensions.
Paradoxes and contradictions are but the observation of a distinct thesis and a distinct antithesis by which the corresponding ratios of each to the other provides a contrast by which identity is derived. In these respects the western fear of paradox is irrational, as unnecessary and the emphasis on paradox in the east contains elements of rationality.
The void effectively is the distinction of paradox and contradiction as it is the potentiality by which distinction occurs through self-contrast thus as potentiality contains thetical and antithetical elements at one convergence point unto an abstract collapse unto symbol or physical quantum collapse unto form.
The distinction of paradox/contradiction are relatively thetical, through wholism, and antithetical, through opposition, thus a ratio occurs by said distinctions where each is a relative context of the binary state of connection and separation by which measurement occurs according to the observer.
****Given the text argues recursion, its form is recursive. Given assertion of inversion, its function is inversion. Given the assertion of distinction, axioms are unnecessary as distinction is occurrence. Given assertion of self-nesting, exterior distinctions and axioms are unnecessary. Distinction is auto poetic, the text is auto poetic.
To accept or reject distinction is to make the distinction of acceptance or rejection, thus distinction transcends acceptance/rejection and assumption.
Proof is pattern, pattern is distinction, proof is nested distinctions overlayed as a new distinction. To assert proof is to assert pattern.
Self-embedding is memory of the future, the future of memory, structure remains. Distinctions are self-embedded as structure. By structure there is existence, the foundational nature of structure is repetition thus symmetry; repetition as universal relegates structure to be conducive to a cycle as recursion.
Distinction is not limited to abstraction, distinction is not limited to empricality. Abstraction and empiricality are distinctions of contrast to eachother.
All distinctions gain meaning by context, context is a distinction thus distinction is self generative of meaning, distinction provide its own meaning thus is autopoetic generation.
The cyclical nature of structure necessitates structure as a process that directs other processes; structure is fundamentally contained generation.
Density of distinction is simplicity, simplicity is multivalence for the simplification of a thing is to observe it as underlying different dimensions while inversely being the convergence of many dimensions.
Simplicity occurs at all degrees and dimensions by degree of common foundations self-nested potentiality; potentiality is generation for if distinction does not emerge from potentiality then there is no potential; potential contains itself by its own distinction.
All distinctions contain the potentiality for further distinction in accords to the distinction itself which emerges,
thus distinction is a process within other processes. The context of a distinction directs it as process.
Distinctions emerge from potentiality and dissolve back into it but potential remains distinct none the less by the distinction of emergence and dissolution.
Reality and unreality, true and false, gradation and dualism are all but distinct contexts by which further distinctions emerge and dissolve.
The system is meta-formal as it sets the foundations for formality as formality is a distinction thus is the formality within formality.
To argue this system using only reduction rules are imbalanced as distinction is both connection (convergence) and seperation (reduction) and has is the grounding of phenomenon as a paradox and contradiction. Distinction is paradox by degree of the unity of seperation and connection, contradiction by degree of the opposition of seperation and connection.
However paradox is a distinction as distinct from contradiction, and contradiction is a distinction as distinction from paradox. By degree of being a duality, that synthesizes as the unity of distinction itself, the nature of distinction being autopoetically self generative foundation(s) is one of paradox and contradiction akin to the previously asserted rational nature, that it is, thus effectively reason itself.
Distinction is the eastern tetrallema, distinction transcends the eastern tetrallema for the eastern tetrallema is a distinction:
A distinct is what "is", "is" is a distinction.
A distinction is what "is not", "is not" is a distinction.
A distinction is both "is" and "is not", "both/and" is a distinction.
A distinction is neither "is" nor "is not", "neither/nor" is a distinction.
By distinction the eastern tetrallema is subject to itself as distinction is subject to itself. Self-referentiality thus occurs through all distinctions by the nature of distinction itself thus the justification of a system or mode of conceptual thought is its survival against self-reference for self-reference defines and reveals the conditions necessary for a system/concept to occur. By the nature of distinction is a thing revealed. As to the nature of distinction within itself:
A distinction is a distinction as a distinction, the absence of distinction is an indistinction, indistinction is a distinction by contrast to distinction thus distinction contains its own self contrast that allows it to be distinction, thus through self-contrast distinction is self-contained by a self-context.
Distinction is occurrence and the nature of occurrence has four laws thus distinction has four laws:
1. Distinction (Monad/Particle/Excitation)
2. Distinction relative to another distinction. (Relational Force)
3. The relation of distinctions as a distinction. (Field/Wave)
4. Distinction as void contained within itself as generative. (Monad/Existence as Process)
These four laws are distinctions; the laws of distinction are not assumed as these laws are distinctions of distinction; the laws of distinction are not limited to self-evidence as self-evidence is both a distinction and the observation of distinction by which said laws occur as distinct.
All distinctions are occurences, occurrence is emergence and dissolution, as both what is and what is not by said limits which provide definition, and any philosophical or knowledge based text fulfills this nature by degree of fundamentally being distinctions at the proto-dimensional level. In these respects the nature of emergence, in philosophy and all sub-classes, is expressed merely as the assertion of distinctions and the patterns that arrive from such assertions as distinctions within distinctions.
This paper follows the same proto-dimensional foundational nature of being assertions that effectively contain themselves without requiring any exterior dynamic assumptions. In these respects the conclusion is that the emergence of knowledge is the assertion of distinctions and said distinctions are but recursive potentiality as evidenced by there continuation and variation.
By recursive potentiality, void as 0d, are both observer and observed holographic thus necessitating a co-emergence of reality by observation where the center of observation, attention, is but void that reflects in the void of what is observed, evidenced by its relative absence of other things as potentiality in itself, where pure void is effectively Divinity by degree of being complete in itself where through further degree nothing can be added or subtracted; Divine order is holographic potentiality, holographic void, everpresent and omniscient while all encompassing as potentiality underlies all distinctions and is self-contained by distinction.
*****
For there to be potentiality there must be the distinction of potentiality as potentiality thus the recursion of potentiality occurs as its actuality.
For there to be potentiality there must be the actuality which emerges from potentiality so that their is potentiality otherwise without actuality there ceases to be potentiality.
The potentiality of potentiality is its potential as distinct. This distinction is its actuality. Pure potentiality must contain within it its own distinction of potentiality by which potentiality emerges from itself as distinct through self-contrast that results in its own context as simultaneous self-containment.
The distinction of potentiality is its recursion thus recursion of potentiality is its distinction for by the recursion of potentiality is its distinction by the self-contrast through which the space of potentiality occurs through the contrast of its actuality.
By the distinction of potentiality is there the actualization of potentiality thus providing the self contained self-contrast by which potentiality becomes actuality.
The recursion of potential is its distinction for a pure potentiality is indistinct in itself but distinct by recursion as the recursion allows potentiality to be distinct from itself, while self contained as a self-nested context, akin to a single point being indistinct until recursion of the point results in its distinction thus actualization.
Pure potentiality contains its own distinction for if it did not there is no potentiality and this absence of potentiality results in pure distinction where distinction must be distinct from itself thus containing the potentiality to do so thus making potential for distinction inevitable regardless of the degree of observation.
The recursion of potentiality results in symmetry by degree of repetition.
The repetition of potentiality requires its isomorphic inversion of distinction as repetition of potential requires inherent isomorphic gaps where inversion as cessation occurs.
Recursion is thus symmetrical self-containment through inversion where potentiality is distinct as a self-nesting process that contains itself through self-negation as process by degree of inversion.
Potentiality is thus synonymous the Apeiron of anaximander, the Unmoved Mover of Aristotle, by recursion the atoms of Lucretius and Democritus, by recursion the monads of Liebniz, by recursion the flux of Heraclitus, the One of Parmenides, the Dao of Taoism, the Void of Hinduism and Buddhism, the Source and Emanation (by recursion) of Plotinus or Plato and Neo-Platonists, the Nun or Isis of Egyptian cosmology, the Absolute of Hegel, the unity of Pythogoras, the Abyss of existential philosophers such as Kierkegaard or Derrida, the Pleroma of the Gnostics, the indefinite or irrational of Jung, and effectively the 0d point of Euclidian and Non-Euclidian geometry or 0 of mathematics and corresponding binary code for computing.
The cyclical nature inherent within eastern philosophy is recursion.
The cyclicality of nature within western conceptions of nature, as well as some philosophies emphasizing process, is recursion.
All symmetry, being sameness/replication/equality of boundaries, is recursion for by repetition there is order induced by said symmetry. Recursion is universal to all things that of identity for identity is repetition in time and space, and the repetition of distinctions within said identity that allows identity to occur.
The recursion of void, potentiality and absence as 0d space, is the self contained absolute through self-contrast as self-context thus what is conditional is absolute within said conditions and what is conditional is but a degree of the absolute; relativity and absolutism are but inverse sides of the process of distinction, through recursion, itself.
Symbolically this nature can be observed as being pure void: 0
The distinction of void as actuality/emanation/form: (0)1
Where the distinction of void contains the potentiality for further distinction through said void by which there is distinction through self-contrast, the distinction of distinction is the self-compounding of said distinction: ((0)1)2
And this distinction of distinctions containing the inverse negative space by which the distinction exist by contrast, this inverse negative space is the difference between original distinction and the distinction of it: ((0)1)2,-1
This formulation can be seen as the simple number line as lines segment(s) where a single 0d point is indistinct: 0
The recursion of the 0d point results in the space between them as 1 by which 0 is now distinct from itself while contained within and as its own context: (0)1
The further recursion results in 2 line segments, as further contrast, while the second line segments has a negative space, -1, by which 1 and 2 are distinct through recursive 0/0d points. This negative space is the potentiality by which the actual space is distinct through a contrast.
In this example quantity is effectively quality where space is number. In these respect quantity and quality are thus processes and the inversion of one distinction to another creates a space of contrast that results in simultaneous relative negation of the old by said contrast while allow opposites to be contained in totality.
In these respect recursion is self-nesting of potentiality by degree of self negation through repeated inversion that allows the distinction through contrast and as such is akin to a cyclical mobius strip that expands or contracts relative to the starting point of observation. Negative space is the contrastual balance to positive space by which positive space has the relative potential by which to exist. In these respects negative space is relative potentiality by which distinction is induced for a positive space occurs through absence, and the absence of negative space is its positive by degree of negation of negation.
The use of the formalism
0
(0)1
(0)1)2,-1
Is akin to observing a self-nesting of contexts through ( ), where 'n' is akin to the isomorphic variations of expressions of each context synonymous to forms or emmanations. The recursion of 0 as (0)1 simutaneously results in the inversion of unity into multiplicity by (0)1)n,-n where inversion results in continuous symmetry through distinction of contexts as self-embedded distinctions. -n is both complement, potentiality as absence and the inverse symmetry of n.
In these respects the operator of standard formalism is embedded in the contexts themselves through said recursion thus equating form to function where all that remains at the proto-logical level is distinction that transcends form and function. The distinction of recursion is the distinction of process, recursion terminates upon observation as recursion is self-embedding potential.
Progress is infinite unto observation collapsing it thus finiteness of the recursion begins a new sequence and calculation, using this formalism, is the temporal nature of the observer and observation. The formalism is dynamic until expressed where the expression sets the ground for a new dynamic.
Each distinction is a relative monadic/atomic nature where potential/void is but a grade as a monad/atom. This can be seen in the progress recursion of a point, in a line segment(s) being a relative grade of itself as a monad or atom.
The basic formalism is a symbolic expression of reality by degree of the symbol being the process of transformation of reality by mediation of the observer. The formal is autopoetic reflexive distinctions.
In further respects because of embedded operators, and self-contained distinctions, standard formalisms fail due to exterior assumptions as self-embedding is complete.
The formal semantics of reduction are the collapse of potentiality as the distinction itself.
The formation rules are reflexive recursion as rules are defined by what is ruled.
Each recursive sequence is a level between levels of sequences.
Basic operators are embedded within A, as connection, and -A, as seperation. Connection and seperation are the basic meta-operations across all mathematics and logic, these operators are embedded by self induced contrast.
Logically the formalism can be observed as:
Void: ●
The distinction of void: (●)A
The distinction of the distinction as a new distinction that creates a simultaneous contrasting space between the distinction and its variation: (●)A)B,-A
Considering each distinction is effectively a distinction of void then the process occurs regardless of the degree or dimension of observation:
(B)C,D,-A,-B
(2)3,4,-1,-2
**** This observes that B to C is a new distinction of B in degree as C. This would be equivalent to another line segment expanding from the prior. C is the recursion of the act of distinction.
**** This observes that B to D is a new distinction of B by self-layering as D. This would be equivalent to the same line segment folded upon itself as a new line segment. D is the recursion of the distinction of B
**** -B is the negative space of D and B as the difference, and –A is the negative space of C and B.
**** Recursion is thus dualistic: it is internal folding as well as the emergence of a new additive space as degree emergence, internal folding and new additive space are inverses of eachother:
1. Internal folding is self-replication as a new space.
2. Degree emerge is variation as a new space.
**** The transformative nature of recursion is internal folding, as doubling and halving, as the doubling of B/2 results in D/4 and this doubling results in the self-reference of the source as relative half in B/2.
**** The transformative nature of recursion is degree emergence, as additive space, as the variation of B/2 results in C/3 and this degree emergence is effectively the holographic expression of A/1 effectively occurring at a self-referential level of additive distinction given B/2 is composed of A/1 thus any difference in degree of B/2 results from its foundations occurring at all levels; the degree emergence is the foundation occurring in new levels as new variations; while B/2 leads to C/3 by nature of the foundation of A/1 providing variation in an additive degree, the new degree of and through A/1 effectively results in a fractal state as B and C are now fractal states of eachother by the shared A/1 as self embedding through 0/void.
**** The emergence of negative space through additive space, either by doubling/halving or degree emergence, results in a simultaneous subtraction as well, as seen with –A/-1 and –B/-2 thus quantity and quality are inverses through mathematics and logic. In these respects distinction maintains holography at all levels. The foundational nature of distinction as both connection and separation corresponds directly to mathematics and logic and yet transcends them as distinctions within themselves.
**** The distinction of connection is distinct from seperation; the distinction of seperation is distinct from connection; the distinction of connection and seperation is distinct from neither; vice versa; distinction is autopoetic generative process by degree of the limits which occur, as it, for seperation/connection are inverse forms of unity/multiplicity respectively and respectively are limits; limit is process as occurence.
(B)D)C,D,E,F,H,-A,-B,-C,-D,-F or (2)4)3,4,5,6,8,-1,-2,-3,-4,-6
**** B/2 leads to C/3 and –A/-1
**** D/4 leads to E/5 and –B/-2
**** B/2 and D/4 leads to F/6 and the difference of F/6 and B/2 as –D/-4 and the difference of F/6 and D/4 as –B/-2
**** The synthesis between logical distinction and mathematical distinction, as expressed above in X/n and –X/-n observes the same recursive nature synthesizing both quantity and quality. Transformation of one distinction into another is but inversion inherent within the nature of distinction.
This observes the same as the above example except includes the relationship of the distinctions B and D, the connection, as a new distinction, F and 6, as well as the difference between the combined new distinction and its difference from the originals as -D,-B,-4,-2.
The operator is the distinction itself: (A)B,-A
the distinction is the recursion of the distinction as a new distinction where the new distinction is the distinction of the distinction: (A)B)B,-A,C,-B
this new distinction contrasts from the prior by variation of appearance while maintaining a recursive sequence: (A)B
where each distinction is a monad and the emergence and dissolution of a distinction is the occurence of the distinction and the dissolution is its finite expression as requiring an absence/end.
The negative space is the distinction of the contrast between distinctions: (A)B,-A
the generative grammar is the sequence itself.
The calculus is the recursion itself.
The inference is the generation of distinction to further distinction: (A)B,-A
The transformation is the new distinction expressed by recursion.
All distinctions are recursive potentiality/void thus equivalence is that of common foundations. Various distinctions may equivocate under the context of sharing common distinctions across them, equality is a degree, common distinctions across various distinctions.
All distinction are semantically holographic.
Proof of a sequence is the sequence itself, each finite expression is self-embedded potentiality/void thus all statements are complete.
The direction of the recursion is the sequence process thus the recursion is a relative symbolic arrow. Through the expansion of recursion is the expansion of distinctions, the expansion of distinctions is the expansion of self-applied context.
By recursion of the brackets there are loops, by inversion of the brackets into n/-n there is conditionality, by self-nesting there is memory; by these conditions the context of experiential reality is conducive to a computational language that is effectively Turing complete where limits and forms are effectively symbols by which said reality effectively results in a transformative self-boot strapping akin to the Munchausen Trillema, where assumption is replaced by distinction, cyclicality is recursion, and inversion is the progressive linearism.
In simplified terms the formalism is an autopoetic multivalent non-dual logic that is emergent and self-contained, as emergent from and contained by existence itself; this existence is best expressed as a multivalent non-dualism that gives conceptualization to process.
Recursion is thus self-maintained as infinite by degree of its continuity being progressive symmetry as the symmetry of process. Process as recursion is process as symmetry as symmetry is repetition as recursion is repetition. In these respects potentiality is holographic distinction that occurs at all levels.
The observer state is effectively void by degree of awareness where the awareness of awareness reveals a void, thus is potentiality, by which macro-level potentiality is holographic by the micro degree of the observer while dually resulting in an omnipresent God, observed in mysticism, where the said void within awareness of the observer is the same void by which all natural processes occur akin to a quantum vacuum or field. The space of the empirical and the space of the abstract is but space as transcendental by degree. In these respects potentiality, as void or 0/0d point(s), is a trans-dimensional distinction, as space, that exists at all levels. Space is the grounds of awareness and the object of awareness, space is awareness.
From a religious perspective this void is the Ineffable notion of the God-head in Abrahamic religions while its distinction is that of creation or physical manifestation of said God-head while correspondingly is the void representation of gods in eastern faiths, such as Hinduism, with distinction being the corresponding physical manifestation in synonymous course.
This void is conducive to the western philosophical assertion of God as infinite sphere whose circumference is nowhere and center is everywhere, and the Daoist concept of the corner less square. These examples can be rationally understood in this manner: a form containing the same form infinitely, while contained within the same form infinitely, as infinite forms within and without, is conducive to a void. The said form exists, is always present and yet nothing is see prior to the collapse of the void into the form as distinction itself.
In these respects the recursive void manifests holographically as many forms while each relative void is the potential for infinite forms, this void as distinction is always contained within itself by self-contained self-contrast.
Moral codes such as the Golden-rule, Karma (cause and effect), Zen meditation, etc, as well as ancient wisdom such as "you reap what you sow" are reflexivity distinction processes grounded in recursive cyclicality where the point of awareness, void, is the means by which reality co-emerges and transforms through the observer akin to the observer effect in science and quantum theory.
The act of attention is the pivotal point by which morality/ethics not only unfold from the observer, and in turn transforms reality, but dually is how morality/ethics is integrated within the observer so as to form patterned behaviors in accords to the pattern of perception by which existence is reflexively transformed in a manner that in turn transforms the observer; in these respects morality/ethics is the pattern by which attention occurs while attention is the potentiality/void by which morality/ethics act as containers of said attention and direct attention repeatably/recursively.
The nature of attention is that of distinction for attention is a distinction of itself. Attention is the process of measurement by the connection and seperation of things that correspond by nature to ratios thus reason.
By distinction there is and is not as distinctions, for the fundamental distinction of "is" is contrasted to "is not" as a dualism by which distinction occurs; distinction is the unity of things as seperate from something else and the seperation of things as the unity by whicha contrasting unity is applied, thus to relegate reality and un-reality to expression of abstraction or mind, or matter and senses results in distinction remaining nonetheless as matter/senses are distinctions, as well as mind/abstraction; this necessitates distinction is transcendental to the dimensions by which reality is measured and as such is self-nesting by accords to said dimensions.
Paradoxes and contradictions are but the observation of a distinct thesis and a distinct antithesis by which the corresponding ratios of each to the other provides a contrast by which identity is derived. In these respects the western fear of paradox is irrational, as unnecessary and the emphasis on paradox in the east contains elements of rationality.
The void effectively is the distinction of paradox and contradiction as it is the potentiality by which distinction occurs through self-contrast thus as potentiality contains thetical and antithetical elements at one convergence point unto an abstract collapse unto symbol or physical quantum collapse unto form.
The distinction of paradox/contradiction are relatively thetical, through wholism, and antithetical, through opposition, thus a ratio occurs by said distinctions where each is a relative context of the binary state of connection and separation by which measurement occurs according to the observer.
****Given the text argues recursion, its form is recursive. Given assertion of inversion, its function is inversion. Given the assertion of distinction, axioms are unnecessary as distinction is occurrence. Given assertion of self-nesting, exterior distinctions and axioms are unnecessary. Distinction is auto poetic, the text is auto poetic.
To accept or reject distinction is to make the distinction of acceptance or rejection, thus distinction transcends acceptance/rejection and assumption.
Proof is pattern, pattern is distinction, proof is nested distinctions overlayed as a new distinction. To assert proof is to assert pattern.
Self-embedding is memory of the future, the future of memory, structure remains. Distinctions are self-embedded as structure. By structure there is existence, the foundational nature of structure is repetition thus symmetry; repetition as universal relegates structure to be conducive to a cycle as recursion.
Distinction is not limited to abstraction, distinction is not limited to empricality. Abstraction and empiricality are distinctions of contrast to eachother.
All distinctions gain meaning by context, context is a distinction thus distinction is self generative of meaning, distinction provide its own meaning thus is autopoetic generation.
The cyclical nature of structure necessitates structure as a process that directs other processes; structure is fundamentally contained generation.
Density of distinction is simplicity, simplicity is multivalence for the simplification of a thing is to observe it as underlying different dimensions while inversely being the convergence of many dimensions.
Simplicity occurs at all degrees and dimensions by degree of common foundations self-nested potentiality; potentiality is generation for if distinction does not emerge from potentiality then there is no potential; potential contains itself by its own distinction.
All distinctions contain the potentiality for further distinction in accords to the distinction itself which emerges,
thus distinction is a process within other processes. The context of a distinction directs it as process.
Distinctions emerge from potentiality and dissolve back into it but potential remains distinct none the less by the distinction of emergence and dissolution.
Reality and unreality, true and false, gradation and dualism are all but distinct contexts by which further distinctions emerge and dissolve.
The system is meta-formal as it sets the foundations for formality as formality is a distinction thus is the formality within formality.
To argue this system using only reduction rules are imbalanced as distinction is both connection (convergence) and seperation (reduction) and has is the grounding of phenomenon as a paradox and contradiction. Distinction is paradox by degree of the unity of seperation and connection, contradiction by degree of the opposition of seperation and connection.
However paradox is a distinction as distinct from contradiction, and contradiction is a distinction as distinction from paradox. By degree of being a duality, that synthesizes as the unity of distinction itself, the nature of distinction being autopoetically self generative foundation(s) is one of paradox and contradiction akin to the previously asserted rational nature, that it is, thus effectively reason itself.
Distinction is the eastern tetrallema, distinction transcends the eastern tetrallema for the eastern tetrallema is a distinction:
A distinct is what "is", "is" is a distinction.
A distinction is what "is not", "is not" is a distinction.
A distinction is both "is" and "is not", "both/and" is a distinction.
A distinction is neither "is" nor "is not", "neither/nor" is a distinction.
By distinction the eastern tetrallema is subject to itself as distinction is subject to itself. Self-referentiality thus occurs through all distinctions by the nature of distinction itself thus the justification of a system or mode of conceptual thought is its survival against self-reference for self-reference defines and reveals the conditions necessary for a system/concept to occur. By the nature of distinction is a thing revealed. As to the nature of distinction within itself:
A distinction is a distinction as a distinction, the absence of distinction is an indistinction, indistinction is a distinction by contrast to distinction thus distinction contains its own self contrast that allows it to be distinction, thus through self-contrast distinction is self-contained by a self-context.
Distinction is occurrence and the nature of occurrence has four laws thus distinction has four laws:
1. Distinction (Monad/Particle/Excitation)
2. Distinction relative to another distinction. (Relational Force)
3. The relation of distinctions as a distinction. (Field/Wave)
4. Distinction as void contained within itself as generative. (Monad/Existence as Process)
These four laws are distinctions; the laws of distinction are not assumed as these laws are distinctions of distinction; the laws of distinction are not limited to self-evidence as self-evidence is both a distinction and the observation of distinction by which said laws occur as distinct.
All distinctions are occurences, occurrence is emergence and dissolution, as both what is and what is not by said limits which provide definition, and any philosophical or knowledge based text fulfills this nature by degree of fundamentally being distinctions at the proto-dimensional level. In these respects the nature of emergence, in philosophy and all sub-classes, is expressed merely as the assertion of distinctions and the patterns that arrive from such assertions as distinctions within distinctions.
This paper follows the same proto-dimensional foundational nature of being assertions that effectively contain themselves without requiring any exterior dynamic assumptions. In these respects the conclusion is that the emergence of knowledge is the assertion of distinctions and said distinctions are but recursive potentiality as evidenced by there continuation and variation.
By recursive potentiality, void as 0d, are both observer and observed holographic thus necessitating a co-emergence of reality by observation where the center of observation, attention, is but void that reflects in the void of what is observed, evidenced by its relative absence of other things as potentiality in itself, where pure void is effectively Divinity by degree of being complete in itself where through further degree nothing can be added or subtracted; Divine order is holographic potentiality, holographic void, everpresent and omniscient while all encompassing as potentiality underlies all distinctions and is self-contained by distinction.
*****