0=0 is Foundation for Number Lines and Numbers as Empty Loops
Posted: Tue Oct 08, 2019 10:51 pm
The progress of a loop to another looping with in the loop is an acting of looping with void being the perpetual center point. No deep thought.
What will be argued is the numbers are loops and the act of counting is an act of looping with other phenomena that are loops (see curvature as contextual looping thread).
1. All numbers exists through an inherent looping. 1 and 1 as 1 and 2 where 1 is maintained and 2 is the variation of one, this differs little from cause and effect. One is the cause, 2 is the effect as a cause in itself through 1. This looping continues as 2 loops both through itself and 1 as: (1,2,3,4). 1 is cause, 2 is cause, through 1 and (3,4) are effects in the respects.
This pattern repeats.
2. However point 1 observes that 1 directed towards itself is a loop...this is the assumed beginning point of the above argument. It does not address zero, nor negative numbers as well as the inherent intuitive proposition that loops are empty forms.
1 as a function of counting is assumed to a form with these form intrinsically composed of looping curvature (see all phenomenon as contextual looping curvature thread). Thus 1 as a self referencing loop (further implicated by 1=1 and P=P of aristotelian identity properties) effectively as a means of counting a phenomenon also quantifies a phenomenon that in itself is a complex empty loop. Counting, using both the number as a loop and the phenomenon as a loop, is an acting of looping itself.
But to re-address the point again the loop is an empty form. The center point of the circle is 0d point space or 0.
3. The uncaused cause of the number line is 0. 0 is void of positive and negative value. The number line originating with zero instead of 1 gives a different context. 0 is empty and as empty is is contradictory by nature as emptiness is a statement of relation. If I see something as empty I see it through a cup, or tube or anything for that matter in which an object exists as necessitating a relationship to some other phenomena (for instance a cup and water) while as empty is defined by self referencing curvature (a glass in contrast to some other object is strictly curvature but there is no beginning or end point).
0 as empty and observed through relation is empty of itself. As void voids itself into being where being is perpetually created through the voiding of void and manifests further being by voiding one being into many being, so does 0=0.
It is the equivocation of 0 to 0 where the first directional nature occurs:
0 <---> 0 or((0 --> 0)&(0<--0)).
This equivation is the first direction we see, with this direction being not just form but a quantity as form where 1 as a means of counting is an attachment to a form in empirical existence (with this form composed of and composing loops as a loop).
4. Thus (0-->0)-->1
Zero as formless and one as form necessitates as formless it divides form much in the same manner 1 sandwhich is divided into 2 by an intrinsic emptiness instilled.
Therefore
(1-->0)--> 1/2 as 2. 1 approaching 0 becomes a fraction and as a loop a fractal. This fraction and fractal are whole numbers in themselves as a half of 1 is fundamentally 2 ones...thus 2. Considering 1 is always maintained in this halving 1 is part of the answer as well.
So as looping through 0, one effectively progresses to 2 and 1/2 simultaneously. 2 as a loop within a loop observed that 1 is effectively repeating itself, thus looping itself as evidenced in point one. One a progressing to other numbers, through a self repetition, is the act of 0 inverting one number to another number. One number to many numbers considering all numbers are forms grounded in directionality expressed under a self referencing loop or the Directional properties of the number line.
5. 2 follows thus same nature as an extension of 1, considering both 1 and 2 are loops:
(2-->0) --> 1/4, 4.
2 also loops to 1 as 1 is intrinsically empty resulting in (3,1).
3 loops to both 1 and 0 as (1,4) and (1/6).
6. Each number as looping back to 0 effectively is halved. Each number as halved necessitates a continual production of even numbers when x loops through 0. However considering each number also loops through 1, considering 1 is inherently empty of value as the voiding of void (with the premise set in double negation of intuitionistic logic), all looping of 1 through one also results in a set of numbers.
(1 ---> 2) ---> 3 necessitates that 3 is 1/3 of the original number while 3 whole numbers in itself. 3 rings expanding from a center ring (1) necessitates the outer ring as being 3 times the size. contracting necessitates the inner ring as 1 third the size.
Each of these rings, as a circumference, is thus a length when unwound and can be observed as linear ratios or lines within lines (again repition of a phenomena around zero as looping from another angle).
So one loop progressing too 2 loops as three loops observes a simultaneously formation of odd numbers and odd fractions/fractals.
(0-->0)-->1
(1-->(0,1)) (1,1/2,2),(1,2,1/2)
(1-->(1/2,0,1,2))--> (1/3, 1/2, 1, 3/2, 2, 3)
Etc. With each new number as 1 intrinsically empty number in itself following the same paradigm where rings as composed of rings, are composed of further rings as well as line segments composed of line segments are composed of further line segments.
7. Considering all numbers inprogressing in one direction are positive, the negative number as numbers progressing in an opposite direction.
Thus (0-->0)-->1, -1<--(0<--0) with negative numbers following the same looping nature.
Thus 0 can be observed as a center point between two progressing and self maintained loops which is what we see intuitively as the infinity sign.
8. Thus 0=0 is the foundation for all numbers as instrincially empty loops which exist as linear ratios when the circumferences are unwound.
What will be argued is the numbers are loops and the act of counting is an act of looping with other phenomena that are loops (see curvature as contextual looping thread).
1. All numbers exists through an inherent looping. 1 and 1 as 1 and 2 where 1 is maintained and 2 is the variation of one, this differs little from cause and effect. One is the cause, 2 is the effect as a cause in itself through 1. This looping continues as 2 loops both through itself and 1 as: (1,2,3,4). 1 is cause, 2 is cause, through 1 and (3,4) are effects in the respects.
This pattern repeats.
2. However point 1 observes that 1 directed towards itself is a loop...this is the assumed beginning point of the above argument. It does not address zero, nor negative numbers as well as the inherent intuitive proposition that loops are empty forms.
1 as a function of counting is assumed to a form with these form intrinsically composed of looping curvature (see all phenomenon as contextual looping curvature thread). Thus 1 as a self referencing loop (further implicated by 1=1 and P=P of aristotelian identity properties) effectively as a means of counting a phenomenon also quantifies a phenomenon that in itself is a complex empty loop. Counting, using both the number as a loop and the phenomenon as a loop, is an acting of looping itself.
But to re-address the point again the loop is an empty form. The center point of the circle is 0d point space or 0.
3. The uncaused cause of the number line is 0. 0 is void of positive and negative value. The number line originating with zero instead of 1 gives a different context. 0 is empty and as empty is is contradictory by nature as emptiness is a statement of relation. If I see something as empty I see it through a cup, or tube or anything for that matter in which an object exists as necessitating a relationship to some other phenomena (for instance a cup and water) while as empty is defined by self referencing curvature (a glass in contrast to some other object is strictly curvature but there is no beginning or end point).
0 as empty and observed through relation is empty of itself. As void voids itself into being where being is perpetually created through the voiding of void and manifests further being by voiding one being into many being, so does 0=0.
It is the equivocation of 0 to 0 where the first directional nature occurs:
0 <---> 0 or((0 --> 0)&(0<--0)).
This equivation is the first direction we see, with this direction being not just form but a quantity as form where 1 as a means of counting is an attachment to a form in empirical existence (with this form composed of and composing loops as a loop).
4. Thus (0-->0)-->1
Zero as formless and one as form necessitates as formless it divides form much in the same manner 1 sandwhich is divided into 2 by an intrinsic emptiness instilled.
Therefore
(1-->0)--> 1/2 as 2. 1 approaching 0 becomes a fraction and as a loop a fractal. This fraction and fractal are whole numbers in themselves as a half of 1 is fundamentally 2 ones...thus 2. Considering 1 is always maintained in this halving 1 is part of the answer as well.
So as looping through 0, one effectively progresses to 2 and 1/2 simultaneously. 2 as a loop within a loop observed that 1 is effectively repeating itself, thus looping itself as evidenced in point one. One a progressing to other numbers, through a self repetition, is the act of 0 inverting one number to another number. One number to many numbers considering all numbers are forms grounded in directionality expressed under a self referencing loop or the Directional properties of the number line.
5. 2 follows thus same nature as an extension of 1, considering both 1 and 2 are loops:
(2-->0) --> 1/4, 4.
2 also loops to 1 as 1 is intrinsically empty resulting in (3,1).
3 loops to both 1 and 0 as (1,4) and (1/6).
6. Each number as looping back to 0 effectively is halved. Each number as halved necessitates a continual production of even numbers when x loops through 0. However considering each number also loops through 1, considering 1 is inherently empty of value as the voiding of void (with the premise set in double negation of intuitionistic logic), all looping of 1 through one also results in a set of numbers.
(1 ---> 2) ---> 3 necessitates that 3 is 1/3 of the original number while 3 whole numbers in itself. 3 rings expanding from a center ring (1) necessitates the outer ring as being 3 times the size. contracting necessitates the inner ring as 1 third the size.
Each of these rings, as a circumference, is thus a length when unwound and can be observed as linear ratios or lines within lines (again repition of a phenomena around zero as looping from another angle).
So one loop progressing too 2 loops as three loops observes a simultaneously formation of odd numbers and odd fractions/fractals.
(0-->0)-->1
(1-->(0,1)) (1,1/2,2),(1,2,1/2)
(1-->(1/2,0,1,2))--> (1/3, 1/2, 1, 3/2, 2, 3)
Etc. With each new number as 1 intrinsically empty number in itself following the same paradigm where rings as composed of rings, are composed of further rings as well as line segments composed of line segments are composed of further line segments.
7. Considering all numbers inprogressing in one direction are positive, the negative number as numbers progressing in an opposite direction.
Thus (0-->0)-->1, -1<--(0<--0) with negative numbers following the same looping nature.
Thus 0 can be observed as a center point between two progressing and self maintained loops which is what we see intuitively as the infinity sign.
8. Thus 0=0 is the foundation for all numbers as instrincially empty loops which exist as linear ratios when the circumferences are unwound.