The Mathematics of Unifiables, and a New Periodic Table
Posted: Mon Jan 27, 2014 12:34 am
Walking through a chilly storm tightly packed in my boiler suit, passing by a guy who weirdly went looking with a metal detector along the shores in the middle of storms, I came to a land formation I think in English is called in "headland" or "spit", both are translates from the dictionary.
So there I was in the place with the heaviest wind, and I lied down getting some cover for the strong wind and I relaxed, almost getting to sleep in my suit which was constantly battling to keep me warm. The harsh weather proved tranquil, and in the midst of the storm I pondered, I thought, deeply, about The Space of Needs, for which anyone who have read a significant amount of my posts should have heard about by now.
Specifically, I pondered long a question I'd had for a long time, about the mathematical properties of the Need Graphs, whose shape is like this (although this depiction is slightly outdated in terminology):

Specifically, again, how I can quantify the properties in the Need Graph, and, Eureka!!! I got it. Every object (every pocket of space with its surrounding borders) is a quantity of unity! The whole graph can be atomized into quantities of unity which are the same as a given quantity between x>0 AND x<1! With the central object being y=1. This is because the layer outwards of the central object summarizes to one because if you do not complete all of them they cannot be whole, so they must be less than 1 if incomplete and therefore not an actual object in the real world (which we would've else been able to count as a natural number).
However, another realization then dawned, and that is that the second layer (or ring if you want to call it that), can only be divisions of the pockets (the blocks) for which it relates to inwardly towards the centre, that is, if you are to regard their existence in relation to the centre, their summarized value is equal to the value of the first layer, and hence they must individually by divisions of that layer when their own number of elements exceeds the number of elements in the first layer (which they are supposed to do always). For instance, C.2 can only relate to "C", and C.2.1 can only relate to "C.2", but while C is 1/3 of the central object with a real value of 0.333333..., its two cousins in the second layer can only be 2/(1/3), which is 1/6, or else the value of the second layer would exceed the value of the first layer (and they could not be worth disproportionate, as all elements are equal when they are all required, no more and no less, to make out a specific form of unity).
Further on my thoughts went (where the reason for why "unifiables" are values at all is because Need is based in causal nature as a driving force for unity, and causal powers, that is "structures of causality", makes up the Need Space), and those thoughts of mine reasoned that while I had found a generic value for Need Graphs, every object could only be combined with any other object for which it had an orientation for. Because of this, every object in Need Space gets a unique name (or so I envision it) composed of the reference name for other objects it works as a recipe for (every object for which it can be part of). In this sense you get a practically infinitely big Periodic Table-style collection of elements which by the rules designated in their names can be combined to enforce any kind of specific reality (any kind of unity for which creates at least 1 of the given object, and two if you have a second set of equally applicable elements).
Please comment your thoughts and any objections
So there I was in the place with the heaviest wind, and I lied down getting some cover for the strong wind and I relaxed, almost getting to sleep in my suit which was constantly battling to keep me warm. The harsh weather proved tranquil, and in the midst of the storm I pondered, I thought, deeply, about The Space of Needs, for which anyone who have read a significant amount of my posts should have heard about by now.
Specifically, I pondered long a question I'd had for a long time, about the mathematical properties of the Need Graphs, whose shape is like this (although this depiction is slightly outdated in terminology):

Specifically, again, how I can quantify the properties in the Need Graph, and, Eureka!!! I got it. Every object (every pocket of space with its surrounding borders) is a quantity of unity! The whole graph can be atomized into quantities of unity which are the same as a given quantity between x>0 AND x<1! With the central object being y=1. This is because the layer outwards of the central object summarizes to one because if you do not complete all of them they cannot be whole, so they must be less than 1 if incomplete and therefore not an actual object in the real world (which we would've else been able to count as a natural number).
However, another realization then dawned, and that is that the second layer (or ring if you want to call it that), can only be divisions of the pockets (the blocks) for which it relates to inwardly towards the centre, that is, if you are to regard their existence in relation to the centre, their summarized value is equal to the value of the first layer, and hence they must individually by divisions of that layer when their own number of elements exceeds the number of elements in the first layer (which they are supposed to do always). For instance, C.2 can only relate to "C", and C.2.1 can only relate to "C.2", but while C is 1/3 of the central object with a real value of 0.333333..., its two cousins in the second layer can only be 2/(1/3), which is 1/6, or else the value of the second layer would exceed the value of the first layer (and they could not be worth disproportionate, as all elements are equal when they are all required, no more and no less, to make out a specific form of unity).
Further on my thoughts went (where the reason for why "unifiables" are values at all is because Need is based in causal nature as a driving force for unity, and causal powers, that is "structures of causality", makes up the Need Space), and those thoughts of mine reasoned that while I had found a generic value for Need Graphs, every object could only be combined with any other object for which it had an orientation for. Because of this, every object in Need Space gets a unique name (or so I envision it) composed of the reference name for other objects it works as a recipe for (every object for which it can be part of). In this sense you get a practically infinitely big Periodic Table-style collection of elements which by the rules designated in their names can be combined to enforce any kind of specific reality (any kind of unity for which creates at least 1 of the given object, and two if you have a second set of equally applicable elements).
Please comment your thoughts and any objections