Number is Space
Posted: Fri Jun 26, 2026 2:46 am
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Number is Space; Space is Form; Form is Limit; Number is Change
Change reveals order at the macro and micro levels of existence by degree of the revealed nature of limits; the foundational nature of change is the emergence and dissolution of limits; a limit contains space, excludes space and is the space between the contained and excluded. What remains is spatial distinctions.
The 4 fold nature of change:
1. All movement from Point A to Point B reveals the repetition of the limit across space; this is repetition/recursion in two respects simultaneously:
The r/r in regards to the limit itself repeating;
The r/r in regards to the repeating cooridinates as expression of space repeating through the limit.
2. The beginning of any limit requires expansion in said limit from a point 0, the end as contraction into a point 0; this is expansion and contraction; by expansion and contraction of a limit does a limit reveal identity as the limit,
this identity is the expansion of the limit and the contraction of exterior space, the contraction of the limit and the expansion of exterior space;
What remains is the expansion and contraction of space by the limit itself.
3. All limits diverge into further limits or converge into limits phenomena; this is divergence and convergence;
One limit converges to another as a single new limit;
One limit diverged into multiple limits.
The convergence of one limit is the relative divergence of another and vice versa, example:
A. The convergence of 2 line segments into one is the divergence of the 2 previous lines from there prior individual unities.
B. The divergence of 1 line segment into 2 is the convergence of the 2 new line segments as individual unities.
4. All things are composed of space, exist in space, thus space folds upon itself as existence itself; this folding reveals points 1 through 3; the fourth nature is the collapse of 0d space into nd space. The collapse of 0d space is the equivalent of a single indistinct point, as pure void, repeating unto a distinct state as the collapse of potential into actual, indistinct into distinct. By repetition of the point does self-scaling of space occur as a 0d point is pure space and the collapse is the self scaling. In these respects a point is pure space as pure void given
a 0d point is all potential 0d points that occur recursively through self-scaling;
pure void is all potential voids that occur recursively through self-scaling;
pure space is all potential spaces that occur recursively through self-scaling;
pure potentiality as all potentialities that occur recursively through self-scaling;
Thus ● contains itself as ● through n● scaling.
Now points A through C reveal simultaneous mathematical properties:
Recursion results in the scaling of a number as a new number as addition/multiplication and substraction/division.
*** Each zero is equivalent spatially to a 0d point reflection a line segment (the negative numbers are the space between the positive space and original unity, ie the negative space between a line segment and the corresponding line segments which follow from it) :
0 is the indistinct void state as pure space, this number is non-sensical
The recursion of 0, in the following states results in the distinction of it by a self-contained self-contrast as recursion itself, the postive number is the space itself, as a self embedding ratio, the negative number is the negative spaces between its presences and the original limit:
00 -> 1
000-> 2,-1
0000 -> 3,-2
Expansion and contraction of a thing is synonymous to addition/multiplication and subtraction/division.
****see example in point 1.
Convergence and divergence is addition/multiplication and subtraction/division.
**** these are visual spatial proofs, the spacing of the sequence corresponds to the mathematical act, any quality or quantity suffices.
(000)(0000) ->
5, -3 addition;
2, 0 subtraction
(X)(Y) observes the convergence of scales where the convergence results in a simultaneous expansion by convergence of postive scales or purely negative scales and contraction by interaction of postive and negative scales.
*** The multiple results, as a set, occur given:
2 and 3 from (000)(0000)
-1 and -2 from (000)(0000)
-1 and 3 from (000)(0000)
2 and -2 from (000)(0000)
Multiplication and Division:
((000)0000) ->
6, -3, 2, -4 multiplication
2/3, -1/3, 1/2, -1 division
((X)Y) observes X as the scale scaled further by seperate dimensional scale Y as the expansion and contraction of X. This repetition is simultaneously multiplication, as a scale expanding by scale, and division, as the scale contracting by scale. The expansion and contraction of scales through scales is simultaneous thus resulting in a set of numbers in one respect while observing the relative nature of scale application in another respect prior to collapse of phenomena by applied measurement.
2 multiplied by 3 as ((000)0000)
-1 multiplied by 3 as ((000)0000)
-1 multiplied by -2 as ((000)0000)
2 multiplied by -2 as ((000)0000)
2 divided by 3 as ((000)0000)
-1 divided by 3 as ((000)0000)
-1 divided by -2 as ((000)0000)
2 divided by -2 as ((000)0000)
****The multiple results, as a set, occur given the corresponding nature of a 0 sequence resulting in simultaneous positive and negative numbers
In these respects numbers are inseperable from limits as an operator requires the limits of the operand to successfully operate on thus revealing that number is inseperable from limits themselves.
The nature of number being primarily conceptual is nullified by space as a medium as space is both abstract and empirical by nature. What remains of the number is limits as the number where a limit is inseperable from form and form is inseperable from space.
In these respects number is the ratio of spaces as 1 is a space, by limit, 2 is a space by limit, etc with any negative number being the spaces between spaces as an inverse space.
Any abstract notion of number is reducible to space, any empirical notion of number is reducible to space; the number as a symbol is the isomorphism of the symbol, by representation, of what the symbol represents and what is represented by the symbol is the isomorphism of the represented by the represented; the represented and represented are spatial by nature.
This can be observed in the symbol being spatial and what the symbol represents being spatial; the spatially is the limits by which the symbol and the symbolized are distinct.
The mediation of abstract and empirical, by space, is further represented by the limits of the abstract and empirical as the space of such distinctions. What remains is limits, these limits are space.
Number as change is the emergence and dissolution of limits;
By application of number is a limit revealed on the quantified as emergent;
by the quantifified is number revealed as dissolutive into the quantified;
Number is the emergence and dissolution of limits; emergence is emergent from dissolution as a limit, dissolution is dissolve from emergence as a limit.
The emergence of number is the emergence and dissolution of limits.
Relative to the previously claimed sequences:
****negative number/spaces are calculated in correspondingly to the results in accords with each negative number space in individual sequences
****Each sequence results in multiple simultaneous values by nature of the space thus each answer is a relative contextual answer within said sequence.
In summary the foundation of things being forms, as distinctions, reveals that reality is self-ordering spaces within spaces where this self-ordering is the limits of emergence and dissolution through the further limits emerging and dissolving thus resulting in an inherently order nature of change by degree of the limits always present.
Order is symmetry by repetition, chaos is disorder by assymetry as the absence of repetition; given limits repeating across scales:
The assymetric is composed of repetitive limits;
The assymetric is purely limit; limit as an event repeats;
The assymetric is repeats as assymetric;
The assymetric is a scale of the symmetric.
Order, symmetry, is inevitable by degree of the limits of things, this order is emergent and dissolutive into the nature of the change, as chaos or assymetry, itself. In these respects order/symmetry and chaos/assymetry are a false dichotomy, in this context, and are replace by spatial distinction as a self-embedding event.
Number is Space; Space is Form; Form is Limit; Number is Change
Change reveals order at the macro and micro levels of existence by degree of the revealed nature of limits; the foundational nature of change is the emergence and dissolution of limits; a limit contains space, excludes space and is the space between the contained and excluded. What remains is spatial distinctions.
The 4 fold nature of change:
1. All movement from Point A to Point B reveals the repetition of the limit across space; this is repetition/recursion in two respects simultaneously:
The r/r in regards to the limit itself repeating;
The r/r in regards to the repeating cooridinates as expression of space repeating through the limit.
2. The beginning of any limit requires expansion in said limit from a point 0, the end as contraction into a point 0; this is expansion and contraction; by expansion and contraction of a limit does a limit reveal identity as the limit,
this identity is the expansion of the limit and the contraction of exterior space, the contraction of the limit and the expansion of exterior space;
What remains is the expansion and contraction of space by the limit itself.
3. All limits diverge into further limits or converge into limits phenomena; this is divergence and convergence;
One limit converges to another as a single new limit;
One limit diverged into multiple limits.
The convergence of one limit is the relative divergence of another and vice versa, example:
A. The convergence of 2 line segments into one is the divergence of the 2 previous lines from there prior individual unities.
B. The divergence of 1 line segment into 2 is the convergence of the 2 new line segments as individual unities.
4. All things are composed of space, exist in space, thus space folds upon itself as existence itself; this folding reveals points 1 through 3; the fourth nature is the collapse of 0d space into nd space. The collapse of 0d space is the equivalent of a single indistinct point, as pure void, repeating unto a distinct state as the collapse of potential into actual, indistinct into distinct. By repetition of the point does self-scaling of space occur as a 0d point is pure space and the collapse is the self scaling. In these respects a point is pure space as pure void given
a 0d point is all potential 0d points that occur recursively through self-scaling;
pure void is all potential voids that occur recursively through self-scaling;
pure space is all potential spaces that occur recursively through self-scaling;
pure potentiality as all potentialities that occur recursively through self-scaling;
Thus ● contains itself as ● through n● scaling.
Now points A through C reveal simultaneous mathematical properties:
Recursion results in the scaling of a number as a new number as addition/multiplication and substraction/division.
*** Each zero is equivalent spatially to a 0d point reflection a line segment (the negative numbers are the space between the positive space and original unity, ie the negative space between a line segment and the corresponding line segments which follow from it) :
0 is the indistinct void state as pure space, this number is non-sensical
The recursion of 0, in the following states results in the distinction of it by a self-contained self-contrast as recursion itself, the postive number is the space itself, as a self embedding ratio, the negative number is the negative spaces between its presences and the original limit:
00 -> 1
000-> 2,-1
0000 -> 3,-2
Expansion and contraction of a thing is synonymous to addition/multiplication and subtraction/division.
****see example in point 1.
Convergence and divergence is addition/multiplication and subtraction/division.
**** these are visual spatial proofs, the spacing of the sequence corresponds to the mathematical act, any quality or quantity suffices.
(000)(0000) ->
5, -3 addition;
2, 0 subtraction
(X)(Y) observes the convergence of scales where the convergence results in a simultaneous expansion by convergence of postive scales or purely negative scales and contraction by interaction of postive and negative scales.
*** The multiple results, as a set, occur given:
2 and 3 from (000)(0000)
-1 and -2 from (000)(0000)
-1 and 3 from (000)(0000)
2 and -2 from (000)(0000)
Multiplication and Division:
((000)0000) ->
6, -3, 2, -4 multiplication
2/3, -1/3, 1/2, -1 division
((X)Y) observes X as the scale scaled further by seperate dimensional scale Y as the expansion and contraction of X. This repetition is simultaneously multiplication, as a scale expanding by scale, and division, as the scale contracting by scale. The expansion and contraction of scales through scales is simultaneous thus resulting in a set of numbers in one respect while observing the relative nature of scale application in another respect prior to collapse of phenomena by applied measurement.
2 multiplied by 3 as ((000)0000)
-1 multiplied by 3 as ((000)0000)
-1 multiplied by -2 as ((000)0000)
2 multiplied by -2 as ((000)0000)
2 divided by 3 as ((000)0000)
-1 divided by 3 as ((000)0000)
-1 divided by -2 as ((000)0000)
2 divided by -2 as ((000)0000)
****The multiple results, as a set, occur given the corresponding nature of a 0 sequence resulting in simultaneous positive and negative numbers
In these respects numbers are inseperable from limits as an operator requires the limits of the operand to successfully operate on thus revealing that number is inseperable from limits themselves.
The nature of number being primarily conceptual is nullified by space as a medium as space is both abstract and empirical by nature. What remains of the number is limits as the number where a limit is inseperable from form and form is inseperable from space.
In these respects number is the ratio of spaces as 1 is a space, by limit, 2 is a space by limit, etc with any negative number being the spaces between spaces as an inverse space.
Any abstract notion of number is reducible to space, any empirical notion of number is reducible to space; the number as a symbol is the isomorphism of the symbol, by representation, of what the symbol represents and what is represented by the symbol is the isomorphism of the represented by the represented; the represented and represented are spatial by nature.
This can be observed in the symbol being spatial and what the symbol represents being spatial; the spatially is the limits by which the symbol and the symbolized are distinct.
The mediation of abstract and empirical, by space, is further represented by the limits of the abstract and empirical as the space of such distinctions. What remains is limits, these limits are space.
Number as change is the emergence and dissolution of limits;
By application of number is a limit revealed on the quantified as emergent;
by the quantifified is number revealed as dissolutive into the quantified;
Number is the emergence and dissolution of limits; emergence is emergent from dissolution as a limit, dissolution is dissolve from emergence as a limit.
The emergence of number is the emergence and dissolution of limits.
Relative to the previously claimed sequences:
****negative number/spaces are calculated in correspondingly to the results in accords with each negative number space in individual sequences
****Each sequence results in multiple simultaneous values by nature of the space thus each answer is a relative contextual answer within said sequence.
In summary the foundation of things being forms, as distinctions, reveals that reality is self-ordering spaces within spaces where this self-ordering is the limits of emergence and dissolution through the further limits emerging and dissolving thus resulting in an inherently order nature of change by degree of the limits always present.
Order is symmetry by repetition, chaos is disorder by assymetry as the absence of repetition; given limits repeating across scales:
The assymetric is composed of repetitive limits;
The assymetric is purely limit; limit as an event repeats;
The assymetric is repeats as assymetric;
The assymetric is a scale of the symmetric.
Order, symmetry, is inevitable by degree of the limits of things, this order is emergent and dissolutive into the nature of the change, as chaos or assymetry, itself. In these respects order/symmetry and chaos/assymetry are a false dichotomy, in this context, and are replace by spatial distinction as a self-embedding event.