It has been a while. My brain has been exclusively commandeered for Ecosquared. However, the web-app beta is currently being coded, and we are not approaching investors until that is done, so I have a month or so to pursue more esoteric, or pure XQ math.

## A little revision

- -1 as ‘not 1’ — So, -1 is not interpreted as the ‘opposite’ of 1.
- -1 as mental state — If +1 is a thing, then -1 is the mental version of the thing.
- square root of -1 is both 1 and -1 — Instead of thinking of defining root -1 as i, we consider both roots simultaneously; based on x^2=-1, x=-1/x, which means if LHS x=1 then RHS x=-1/1=-1, and if LHS x=-1 then RHS x=-1/-1=1
- no number lines — We are not applying mathematics to geometry but to social dynamics directly.

## Basic Mind Model

For the sake of this post, consider that mind is the operation of the interaction of 1 and not 1. And we can capture this process as x{1|-1}, times by both 1 and -1. Interpret this as the projective part of mind (-1) and the energy which is inwardly directed eg frequency of light (1). This is the process by which mind makes sense of existence.

The above graphic suggests anticlockwise motion, partly because it is legacy of multiplication by i. The clockwise motion is produced by multiplying by {-1|1}. (I suspect spin of quarks derives from the same misapplication of spatial mathematics. Any application of the math we derive here to quantuum processes is to be explored by others. What is important is to stick with mathematising the psycho-social continuum.)

There are two basic directions, at least mathematically. But this is because we are representing the 1 and not 1 on a piece of paper, with 1 to the right of not 1. It is another basic legacy, a convention: positive number line to right and negative number line to left. We want to relate to current mathematical techniques, but as a shadow; primarily we should be translating this in our minds as an application to actuality. If +1 is a thing out there (A, B, C, or D) and -1 is its corresponding mental object (like a computer screen or keyboard or table or light, while remembering it is not negative 1 but not 1), then {1|-1} is the interactive field of mind making sense of A as a computer screen, B as keyboard, C as table, D as light, and so on. The two directions indicate an emphasis, rather than a direction:

- {1|-1} indicates an emphasis on sense
- {-1|1} indicates an emphasis on projection

Perhaps link this to buddhist notion of origination and dissolution*.

I am not sure of my interpretation. Obviously, as I am not sure about any of this. Until we reach a stage which is systemic, self-supporting, and possibly useful. Practicing slow-motion tai-chi moves is all very nice and well, but it is their application in a martial context which proves their efficacy. (And longer term health benefits are trickier to prove too.) The objective, as always, is to create enough mental space to play with these mental elements; to be in a state of reception, in fact. Yes, this mathematics may derive something useful for AI, but I am more interested in its application to reflect our psycho-social condition, such that mathematical operations may help guide political decisions. If this path of exploration is to reveal anything useful may it be this: if these models match some kind of individual psychology, the same math may match larger social phenomena. Instead of ‘personality’ types, Myers-Briggs categories, and political parties or political forms like socialism and capitalism, we have a continuous psycho-social field with self-similar mathematical operations; behave in certain ways, and the emergent social phenomena will take on certain shape. Less mystery, more engagement and determinacy.

The mathematics suggest opposite, but I’d rather interpret it as emphasis. These two states of emphasis (translated as rotations around the origin in traditional math modeling of negative as opposites on the cartesian coordinate system), have different meanings depending on which part of the mental cycle it is operating on. Here’s a first guess:

- {1|-1} indicates an emphasis on sense
- from 1, the intention is appreciating the sense, the target; being receptive to the objective truth as it were; the search or hunt for meaning
- towards the midpoint {1|-1}, engaging the unknown; open-minded
- from the midpoint {1|-1}, assimilating to what is known

- from -1, the intention is supporting the mind’s projection, will, the subjective truth as it were; the seeking of understanding
- towards the midpoint {-1|1}, accreting knowledge
- from the midpoint {-1|1}, speculating

- from 1, the intention is appreciating the sense, the target; being receptive to the objective truth as it were; the search or hunt for meaning
- {-1|1} indicates an emphasis on projection
- from -1, the intention is negating the mind’s projection, will, the subjective truth as it were;
- towards the midpoint {1|-1}, revealing truth
- from the midpoint {1|-1}, letting go of one’s projection and embracing the truth of sense

- from 1, the intention is negating the sense, the target, questioning the objective truth as it were; the search or hunt for meaning
- towards the midpoint {-1|1}, questioning sense, taking a critical attitude
- from the midpoint {-1|1}, questioning one’s internal state, perhaps insecurity

- from -1, the intention is negating the mind’s projection, will, the subjective truth as it were;

Note, I have adopted more ‘conscious’ descriptors, eg ‘search for meaning’, ‘accreting knowledge’, ‘speculating’, etc; there are equivalent pre-conscious activities (recognition, belief); as well as small scale social dynamics (talking, listening, leading and following, questions, statements); as well as larger scale social dynamics.

I suspect there is a better systemic interpretation of these mathematical processes, which is internally consistent, and in combination produce mathematical descriptions equivalent to personality or shapes of being. The distillation of mind to ascertain what math applies to what we do mentally requires a fine mind, and perhaps decades of delicate, restful observation. Good luck.

And a further caveat which deserves repeating: the objective is not to create a model of the mind, but to note a concurrent between the mathematical operation in mind and equivalent mental operations. That is, the mathematical operation is a distilled version of general mental activity. In the same way that multiplying by negative 1 can change a negative into a positive, the buddhist training exercise, once practiced with small negatives can be applied to larger negatives. That is changing mental state. Practicing maths, conducting the mathematical operation, is simply applied to the mathematicians own mental operations. And by mental, I mean psychology of thought and feelings and ‘spirit’ too.

## the kicker — when the object is a subject

In the above mapping we take one mind’s engagement with external actuality. Try applying a similar mapping when two minds engage. That is, when the 1 is another mind.

I am not sure how to operate this. There are plenty of variations on how this articulation occurs.

- Do we take the other mind as positive, as true, as true as the sense of light from a candle? Or do we take it as negative, as not-true; or as we might sense the darkness?
- Or do we correlate the base emphasis of mind, whether {1|-1} or {-1|1}, rather than the ‘end-points’ of 1 and -1?
- And do we consider the magnitude?

I am thinking we can map this to whether we have competitions of will, the test of oppositional state, strength of mind; or we have a flocking of will, the game of co-operation, submission to the truth. The first is the path of leadership, the second the path of fellowship.

I have conducted a rudimentary mapping, but I feel it is at the end of this exploration. I will pick it up at some point in the future. Some final observations:

- this may help understand why some people when they listen, a new idea pops into their head, they follow their idea rather than the idea the speaker is attempting to elucidate
- different balance points of individuals: totally contained in their mind (insane), in their mind (solid, heavy, ego, judgemental; willfully negative, critical or willfully positive, self-determined), towards sense (light, receptive, non-judgemental, fickle; assume positive or assume negative, fatalism), totally out of their mind (insane), and the middle state, the superposition of perfect equanimity or zen-hell of nihilism
- dynamics arise according to comparison/combination of balances within individuals
- within range, alignment
- outwith range, opposition

- may be useful to apply this to tango, as long as we avoid physical mapping and consider the leading-following dynamics, and especially the rarer follow-follow bond; same goes for tai-chi
- perhaps I have got to the age that I can experiment with people? play mental games — for the benefit of others, of course; like ‘devils advocate’ or ‘reverse psychology’
- personally, conducting these mathematical operations before sleeping, waking up; holding both 1 and -1, operating on visual sense, on thoughts, on feelings; applying the correct math to appropriate conditions

Gosh, there’s a lot to explore. I hope Ecosquared works well enough that it provides more free time to consider these things.

***an alternative — see the next post**

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