Distinction Ontology; Non-Binary (Monadic) Computation; Recursive Scaling; LOF Side-Step
Here is a short text I wrote in about 1.5 hours for the h"ll of it. Looking for thoughts and feedback. The text covers distinction based ontology, using natural language, and extends into a proto-formalism while seeking to go layers deeper than LOF. Gemini results test positive. It claims it provides potential solutions to the limits in silicon based processing. To be frank, I am not sure I agree or disagree, just referencing claims.
Here it is:
There is distinction; ●●
There is the distinction of distinction (●●)●, by indistinction ●, thus indistinction is a distinction (●)● and as such scales as distinction ●● = (●)●.
There is the indistinction of indistinction, ●●, by the distinction of “indistinction of indistinction”, (●●)● and the distinction through indistinction from indistinction, ●●.
The distinction of distinction is a distinction ((●●)●)●; this is a distinction of itself as distinction remains across scale, (…(●●)…)● as, ●●.
“The distinction of distinction is a distinction” is a distinction, ((●●)●)●)●; this is a distinction of itself resulting in:
●…● , however ●…● is a distinction, ●●
Distinction contains itself as distinct, (●●)●● thus what is indistinct, ●, is but the scale of the distinct within the distinct by distinction contrasting itself.
Distinction is containment and contrast, containment and contrast as distinct thus what remains is ‘as is’ for:
What contrasts is contained by the contrast (●●)●●, what is contained is contrasting by the containment, (●●)●●; containing and contained reveal only distinction, ●●.
Distinction is transcendental of itself, ●…● thus remains as fixed across transcendence, ●●, and as such transcendence ceases outside of distinction, transcendence is but a distinction.
What remains is a distinction, what remains not is a distinction thus by degree “remaining” and “not remaining” are subsumed as distinction, ●●.
There is distinction, ●●; the indistinct, ●, is distinct from distinction, ●●, thus is a distinction, and distinction, ●●, is distinct from indistinction, ●, thus is a distinction; distinction distinguishes itself:
((●●)● ↔ ●●● ↔ ●…●) = ●●
((●)●● ↔ ●●● ↔ ●…●) = ●●
Number Scale
● = 0
●● = 1
●●● = 2,-1
●●●● = 3, -2 …
**** This corresponds directly to a line segment where ● is a 0d point. In these respects the sequence is effectively recursive 0 and recursive 0d points.
Addition/Subtraction
●●● = 1 + 1 = ●● ●● = ●●●
●●● = 2 - 1 = ●● ●●, ●●● = ●●●
●●● = ((1+1),(2-1))
●●●● =
**** ○ = removed dot for sequence contained within ●●●●. ●●●● reveals where each ●● sequence exists as the missing dot itself being the space of ●●.
1+1+1 = ●●○○, ○●●○, ○○●●
2+1 = ●●●●
3-2 = ●●●●, ●●●●
3-1 = ●●●●, ●●●○
-1-1-1 = ●●●○, ●●○●, ○●●●
-2-2 = ●●●●, ●●●●
●●●● = ((1+1+1),(2+1),(3-2),(3-1)(-1-1-1),(-2-2))
Multiplication/Division
**** ( ) represents the scale of the sequence acted upon. This scale is contained with ●● thus ( ) is the same as ●● but effectively resymbolized to minimize complexity.
(●●●●)●●● = 3×2 = (●●●●)(●●●●)
(●●●●)●●● = 3/2 = ●●●●/●●●
(●●●●)●●● = 3×-1 = (●●●●)(●●●●)
**** Negative numbers/spaces follow same dynamics as arithmetic section.
(●●●●)●●● = 3/-1 = ●●●●/●●
(●●●●)●●● = -2×2 = (●●●●)(●●●●)
(●●●●)●●● = -2/2 = ●●●●/●●●
(●●●●)●●● = ((3×2),(3/2),(3×-1),(3/-1),(-2×2)(-2/2))
Thus each sequence is a set that contains itself in the respect the sequences are grounded in ●● and contained as ●…● = ●●
In these respects ●● can be isomorphically represented as ( ).
Where
● = 0
●● = 1
( ) = 1 = 0
And overlapping points, such as ●●● observing overlap in the middle ●○●, as ●● ●●, can be represented as:
( | ) = 2, -1
( | | ) = 3, -2
( | | | ) = 4, -3 …
Where ( () ) or ( )( ) appear as ( | )
In these respects all ●…● = ●● as a set results in contained further ●…● = ●●.
●● contains:
1/2,1/2 and 2/1
1/3,1/3,1/3 and 3/1
1/4,1/4,1/4,1/4 and 4/1
2/3,1/3 and 3/2
1/4,1/4,2/4 and 4/2
1/4,3/4 and 4/3 …
Thus each ●● contains infinite superpositioned sets and these respects each ●● is a relative infinite series or infinity in itself.