Possibility Theory

The Oratory of "Possibility"

Abayomi-Oranmiyan, Alexandria U, school of Rhetoric and "the fine Sciences"

(It turns out that Eden is hundreds of pages, not this 1. Eden is my linguistics
Ph...nigguh)...

Possibility Theory
The Mathematics of Infinity



Ganja 3X


[This is a living document… the following idea to be inserted and explored]
The “truth” of a realm consists of an identity, what is perceivable by that identity within the realm, and the logical connections that create a “reality” based upon the perceivable within the realm. So, because perception is functional (there is a one to one mapping between what is perceived and how it is perceived), there is a singular truth or reality of a dimension. For instance, for some of us, reality might consist of the physical universe as well as the perceivable universe, as well as the absence of temporal constraints. What happens, however, if there is more than one way to perceive a perception? What happens if light is perceived both as light and a thing else, like a two thousand ton laughter? What is a two-thousand ton laughter? Exactly. What we are describing here are instances when the “psychic unity” of mankind, the uniformity in perception within a realm, provides the opportunity to perceive things in a different manner. We are not simply talking about modifications in size or scale, as with, for instance, how an ant, a bird and a human perceive a gust of wind. We are speaking of a gust of wind being not a gust of a wind even though all indications suggest that it is a gust of wind. When this occurs, we have transdimensional shift, which, in our mathematics, we’ll call numbershift. We’ll expound more on this idea, more lucidly too, but the main point is this: We know that by our uniform mathematical perception, two and two is four. But what if there existed a condition under which two and two was not four but five. Aha. I think you see where this is headed. Numbershift had occurred. A gateway into a new realm has opened. All we need, to return to our perception is a requisite gateway from the realm within which its own law will allow equilibrium to exist as a dynamic dialog between the two mathematics. See? I think you do. BTW, it is the fact that five is the sum and not four that clues us into numbershift. So, does numbershift exist in universal law or can it be simulated? If it can be simulated, then it might exist. We’ll see. However, if we were to use numbershift to describe the temporal manifestations that we DO know exist within universal law, then we might be able to characterize the science of it in a way so as to simulate it under particular circumstances.




OK...

We wish to explore the universe and its light years. Not one light year. Not two. Many, many.
We have this marvelous playground of infinite space (which is why I'm so amazed that is has scared people into organized religion--it's the greatest gift we could have as a civilization of creative people!!! But that's another discussion). So we need to think big. So I will make a distinction that should elucidate what I have been arguing about. A trillion is a number. A trillion-digit number is also a number. I don't care about "big" numbers like a trillion. But I care about numbers whose properties are characterized by "big" numbers (e.g. a trillion-digit number). For practical intents and purposes, a trillion-digit number is infinite.
I will address how.

Perhaps, dear sir, I needed a concordancer that would expose the trillionth... trillionth and oneth...
and trillionth and twoth digit of a calculation because it was relevant to light year space travel.
How, in fact, shall I gain access to this information? Symbols don't help me now. I need these digits for calculations. Of themselves, they may have symbols that glorify their great magnitude, but to find these digits... well, it could take several years, even with a monster computer. I put it to you that the discussion is not about large numbers. It is not about adding one trillion to one trillion. Instead it is about infinite numbers. Numbers for which the number of digits they contain is specified by large numbers. Trillion-trillion. Billion-trillion. etc. Numbers for which if we wished to document them could take several years or generations even.

Indeed, then, it is not about an abstraction, such as the set of very big numbers. It is about specific numbers that will be relevant to humanity in the future. Here is an example that was given to me by a spirit that thought it necessary for this suggestion to be considered. We do not now know if Pi has a pattern. As far as we can tell it doesn't. But if we compute it for a hundred years, we might find one. That pattern may be the key to opening up a whole new way of thinking about circularity and linearity in space and time. That pattern might just show us a whole new way to think about physics. That pattern might just be the light of our civilization. Yes, the trillionth trillionth trillionth trillionth digit of Pi is, itself, a single number. But it might be the turning point in all of mankind's approaches to science. How shall we get to that digit?
By building the biggest supercomputer that ever can be with so much memory it remembers the birth of the Universe? I suggest to you that there is a method for escaping the constraints of time and still being accurate. This is a fact. It has been done. Time has been traversed with complete and perfect accuracy. It is just now about codifying the science for future generations. Humanity will not be trapped in a shallow grave when the mere existence of an infinite universe should be our inspiration to be the gods who are worthy of such a fuckingly excellent playground. In the fullness of time it will be documented in detail. But here's the synopsis. Time traversal is all about zero-sum dimensional traversal. Whenever dimensions are traversed, the destination dimension contains "anchors" or material information relevant to its time path. Every time path is modeled by its history--the things that happened in its future and the things that happened in its past. What happens in a history? Everything? Some things? That's a very fascinating topic, but one day we will get to that (can't help m'self... if a tree falls in the forest and no one hears it, but it is prominently relevant to continuation of the life force in a time path, then it is part of the history of that time path. There are models, really nice ones too, but that's another story for another day).

In any case, as far as mathematics and time traversal is concerned, there are issues involved, not
the least of which includes the question of verification... for, certainly, it would take generations to verify that a number that I say is the gargantwillionth digit of Pi is in fact that number. Nevertheless, consider the hypothesis that 3 and 4 and 5 are the gargantwillionth and babantwillionth and fuckazillionth digits of Pi and that these ionths are related by magnitudes of order in the same way our tiny number system of thousands and millions and billions are. May we not then begin to postulate and ponder if in fact there is a pattern in the universe that just
requires infinite numbers to detect? May we not wonder if in fact there exists a higher intelligence whose expression we can begin to understand if only we could release ourselves from the shackles of the space-time continuum and discover patterns with magnitudes so vast it could take lesser sorts eons to find them? May we not begin to ponder if, in fact, we do ourselves a disservice by not opening up the floodgates of infinity and researching the mind of God? Of course, sir, these ionths are not infinite numbers perhaps you might say, but if it takes generations for their relevance to bear fruit, then they might as well be. No? So, you see, the idea is that these sorts of digits can provide us with relevant information. Adding a gargantwillion to a babantwillion is great stuff, but does us no good. Finding out, however, if that number of digits in a number can give us models of universal space that can enrich our perspective, now that's a different ball of wax. And, by the way, infinite numbers are heterosexual!

Ganja 3X


Preface: Identity-based Computation




He was a man of considerable wealth. Semi-retired, they whispered his nickname around the office as he strolled to his little corner of the world from where he could touch the future. “The shark.” He tried to get a rise out of me whenever he could. I was unsure, then, if he belonged. I was unsure, then, if he, too, studied the mysteries. I was to find out that he was part of the puzzle.
We sat down in the Gold Room, that hallowed space for V.I.Ps, before a business trip. We munched on nuts and drank beers. This was the good life. The life of the rich executives. Not being one of those, I sat quietly, sipping my beverage and enjoying the atmosphere. It must be grand, I thought, to enjoy these benefits. He said a funny thing. I tried not to laugh but could not help smiling. He leaned forward and said, “I just like to make him smile.” Then he did it. His secret handshake was poetry. It was about ancient Greeks and how they studied the length of fleas’ legs. Even he, I suspect, would not imagine that I would find the knowledge in those words that those with whom he consorted wondered if I would. Where they to be betting people, they would, at this moment, have lost. As with most of the answers we have discovered on this eternal journey, the answer came to us from a being attentive to our quest. And so the journey continues.
I am more conversant with ants than I am with fleas, but this does not invalidate the knowledge we wish to unlock. I imagine that fleas and ants have similar length of legs. So let us speak of ants. To an ant, the notion of fifty miles would be akin to what humans have determined to be light years. Ants might have wondered to themselves what existed on the other side of the universe, fifty miles away. The alien beings in the world of ants, birds, they can zap themselves from spot to spot like it was nothing. Like it was nothing. They visit the castle and provoke national security concerns. The Queen is in danger. From time to time a hungry bird abducts an ant. The stories are told, but because ants cannot conceive of beings so vast in technology, those who claim to have seen these beings are ridiculed. And then one day an ant looks through the eyes of a bird and realizes that in infinite space all there is is the possibility of existence. This exciting discovery opens up a whole new world. The ant has looked through the eyes of God.
Still, it would be implausible to imagine an ant trekking fifty miles to discover what exists at that end of the universe. Furthermore, ant technology is limited. There are flies and other insects, and for these, fifty miles has been charted by some of their more adventurous citizens, who send word back through emissaries in towns and cities along the way that they are on their way to a place light years away. Space is constrained when the ant hears of this. The ant determines that, somehow, it will, too, discover what is on the other side of the universe, fifty miles away. But there is only one way to do this. It is called projection. The ant must be able to look at finite space, its immediate environment, and determine that universal pattern that determines the course of history, so that it can move through the pathways of time and know when it has reached that place fifty miles away that would have taken a lifetime to reach. The secret to infinite space, the ant discovers, is in finite space and a universal key that unlocks the patterns that emanate from any place in the universe where the life force has converged (a “temple” so to speak) in order to propagate itself.. It is this key that we have discovered by studying the leg of a flea.
It would be helpful, for our purposes, to think of dimensions as realms in which time moves differently because of the ability to take quantum leaps of varying degrees. In the paradigm above, we might think of ant-world as one dimension, fly-world as another, human-world as another, and bird-world as another. Of all these, birds seem to have it all. They can move in great “strides” of time, but still have that fabled “bird’s eye view.” That is, even in their dimension, they can “resolve” existence in ant world. How fantastic it would be for us to figure out a way to compress and expand our universe just so. Now, you say, all this stuff is great, though lofty the aims be. Why can’t we just be like that civilization that used supermagnets to propel itself from here to there? Why, this is a great idea, and, in fact, we are doing some of that now. But low expectations have been the killer of many a people. Supermagnets may get us from one spot to another, but we wish to be able to get to any place, any place in this universe of infinite possibility! This thing that may seem to you like holographic time travel, well, it transcends the physics of the ant-world dimension and places us in birdland, and, at that, with a bird’s eye view.
Like walking, we have as a civilization mastered the science relevant to our primary existence. We have learned to describe the nature of our environment as it affects our survival in ways that are robust enough to ensure an adequate view of the state of affairs we find ourselves within. The time, however, has come to elevate our perspective and exercise considerable thought as regards understanding the depths of our existence. It is with this in mind that Identity-based Computation was created. In times past, as surely in times to come, independent ideas propelled civilization to new heights by working in concert with each other, providing a guiding light that must never be allowed to die out. The creativity that is the nature of us is what will determine how high we will ascend in our bid to reach the stars. It is a good thing, after all, that we do aim for the stars.
I have a favorite quote, and I think it is appropriate here. “We do these things, not
because they are easy, but because they are hard.” This famous quote by J.F.K is instructive. We are not content, as a civilization, to rest on the laurels of those who came before us. Neither are we intimidated by the heights they achieved. Those who remember know that we will always be the driving force of civilization, and we will always strive to open humanity’s eyes to the richness and depth of creation. This is the thrust of this book.
What is Identity-based Computation? I was recently studying the concept of “Zero” when it occurred to me that it was almost irresponsible, as a civilization, to have such a concept without a complete philosophy on the nature of existence. For a civilization that still grapples with religious division, it is rather remarkable that we have gotten this far with the concept of “Zero” and not crashed. Those with whom I have engaged in philosophical discussions are aware of my perspective on existence, but, sadly, their numbers are relatively few. So I decided to put, in words and symbols, the mathematics of this perspective. It is one which, I hope, will be just one stone within that pyramid that takes us to the heavens.
What is identity? The identity of an existence is its set of reactions (or “instinctive
responses” or “internal responses”) to states of affairs. Because states of affairs are infinite, the set of reactions to them are also infinite. However, within finite existence, there is a finite state of affairs. This finite state of affairs we call the metaphor of infinite existence. Infinite existence, in this paradigm, is always true. And because infinite existence is always true, there is an infinite set of reactions to the infinity of states of affairs. This infinity of states of affairs, symbolized in a metaphor, is called the possibility of existence. Finite existence and infinite existence are important in so far as the consciousness continuum is concerned. In truth, an identity is aware of its infinite reactions to states of affairs. In a dimension, an identity is aware of a subset of its infinite reactions. So, a metaphor exists within a dimension. An identity is able to traverse dimensions but has degradable consciousness. Consciousness is the total ability to respond to a metaphor within a dimension. (Note: We are working on stability, the ability to be conscious in multiple dimensions without degradation).
Dimensional metaphors are not infinite states of affairs. But they are the
singular state of affairs that is the possibility of infinite states of affairs. They can, thus, be translated from dimension to dimension. It is true that we will be dealing with these concepts in far greater detail, thoroughly hashing them out before we apply them to the symbols that make up the “mathematics.” However, it might be instructive to catch a glimpse, using the mathematics of the day, of some of the ways in which these conceptualizations are different.
We speak of identity and instinctive responses. What is the instinctive response of a table to a chair? Some might ask. What is the instinctive response of a worm to an airplane? These are not trivial questions, for the whole idea is that within any dimension, all states of affairs are part of the metaphor. So, dimensional parsing is often necessary to discern what constitutes a state of affairs in a dimension. It might surprise some to discover that even tables and chairs are part of some dimension, and that the metaphor of that dimension may have considerable relevance.
Take what we call the number one. 1. We often say that when there is a one, and then there is another one, then we have two. According to Identity-based Computation, however, a one and another one are simply a one and another one. They are not “two.” But the concept of “two” espoused by mathematics exists, and it exists because of the states of affairs consisting of a one and another one. A one and another one belong in the same dimension. “Two” belongs in another. And so, it is perfectly acceptable to do computations that involve ones, but to involve a “two” in such computations would require a traversal of dimensions. For, “one” and “two” exist in different dimensions. To add a two and a one, for instance, would not result in a “three,” as mathematics has it, but in a two-dimensional vector that consists of an entity “two” and an entity “one” and an entity “one”. It should be intuitive, then, that “one” is the primary or existential dimension, or D1. But it is possible to compute with twos. So, a two might be placed with another two. The first thing to notice is that such a computation is only related to D1 in so far as D2 is connected to D1 by a state of affairs. That state of affairs is “a one and another one.” So, if we have a two and another two, we have a two and another two. The eager might say, “Hey! This is similar to having a one and another one!” But this is missing the point (and would send us back thousands of years). Both twos in this D2 computation are connected to D1 by states of affairs that involve primary objects (denizens of D1). As we will see much later on, these states of affairs are a lot less trivial than just “a one and another one.” They are the foundation upon with infinite computation can occur. (*As you might easily imagine, no dimension could exist without D1… but more on that later.) But, just to preview, let us say that it is perfectly normal, in this paradigm, to count apples and oranges. So, then, is “a two and another two” four? How do we get four? First, a pop-quiz. Can we get four by having a three and a one? You’re right. The answer is no. But first, we have to determine how we got three in the first place. Can we get three? How can we get three? A two and a one? Is that possible, according to this paradigm? Again, you’re right. The answer is no. But we can get a four. So, then, are odd numbers impossible? How about one and one and one? Let us be disabused of the notion of conventional mathematics, for numbers play a far more important role in dimensional mathematics and infinite possibility computation.
We will return to that topic later on, but it is important to bring up another issue at this point, just to paint a wider picture of what is here occurring. When a one and a one exist in a metaphor within D1, there no longer is “a one.” Instead, there is a one and a one. Assume that there was a way in which it was possible not to be aware that the “other” one existed in D1, because it sill existed, the state of affairs in D1 would be a one and a one. The metaphor in a dimension is key to ensuring that the entirety of the state of affairs is available for computation. Even so, the possibility that the complete state of affairs is not available for computation must be accounted for. How? This is the meat of the issue. For, if we can account for the possibilities in a finite metaphor, because it is a metaphor of the singular metaphor of infinite states of affairs, we can account for infinite possibilities too. All this and much more will be hashed out in much greater detail.
It, however, is necessary to first provide sufficient philosophical background to the approach to ensure that it can transcend the limitations that would hope to impose themselves on it, much like the concept of infinity attempted to defeat science and reason. Please enjoy. Possibility Theory: The Mathematics of Infinity.

Chapter One: Existential Space

Existential space is that because of which all things existent exist. The unexistent, those without the ability to exist, unexist within non-existential space. Everything that has the ability to exist exists within existential space. The question might then be asked whether existential space itself exists, and if so, if it exists within itself. But such a question cannot possibly apply to existential space because all conceptions of existence only exist because of existential space, and so such the question, itself, is only relevant as a consequence of existential space.
Infinite three-dimensional space exists within existential space. That is to say that any location within infinite-three dimensional space only exists because it has the ability to exist because it is governed by existential space. Time exists within existential space. That is to say that any moment in time exists only because it has the ability to exist because it is governed by existential space.


Chapter Two: Infinite Numbers

A number in which each successive number has one added to it is the example of an infinite number that we will begin with. Such a number is something like 12345678910111213…
What is the hundredth digit of such a number? What is the thousandth? Millionth? Billionth? Trillionth? Had we enough time, we could determine any digit in this number, for knowing what exists at any point in infinite space is simply a matter of time. But science is constrained by our lack of time. So, what we need is the ability to traverse time and make determinations about existence in infinite space based upon a methodology. The problem is that verifying that we are accurate is a matter of time too, since we require time to compare the existence we computed through whatever methodology to what actually is the truth of the space within which our computation is relevant. If we could create a metaphor for infinite existence, then we could verify our results by comparing them with our determination of what exists in finite space based upon a metaphor for finite space. The closer we come to equivalence of our determinations in infinite space based upon its metaphor and our determinations in finite space based upon its metaphor is what we call the possibility gradient of existence in infinite space.
But, we also require space to document the trillionth trillionth number in this infinite number. Again, we utilize metaphors so that we can capture infinite space in the same way we can capture finite space. Note that the example used contains a pattern. We are really much more concerned about an infinite number that has no such patterns. We are concerned about generating a way in which to view existence in finite space such that its relevance is what matters. In this way, we can determine the relevance of an infinite computation based upon a metaphor.
The decimal point. The space-time continuum is rather interesting in that from the perspective of its proponents, it begins from a fixed point and moves into the future. However, our attention is drawn to the fact that an infinite number begins in the future and when we search for its infinith digit, we are searching for where it started from. So, when we think of the number 100, the first digit tells us how far from the present the number is. So it is with infinite digits. In other words, what we can document of infinite numbers is the existence in future space and time. What we cannot document is the present. This ultimately simplifies our job. But then quite the opposite problem occurs when a decimal point is asserted. Digits to the immediate right of a decimal point are those closer to the present while the digits we cannot document are those that represent infinity. And so, the decimal point system might be helpful in describing infinite numbers. For instance, consider the number 123456.654321. This mirror image begins in the future within the hundred-thousand range and leads us to the present within the range of numbers between one and ten. But if the number was merely documented as 1234…|654… where the pipe ( | ) represented the beginning of a mirror image, then we would know that the digit 6 was the present and 5 was the future of that present and then 4 could possibly be unified with the 4 on the left side of the pipe such that we would know that it was the digit in the hundreds. If it was the case that the 4 on the left was indeed the 4 on the right, then the digits to the immediate right of the pipe would be mirrored to the immediate left of the pipe. So, one of our goals will be to construct a mirror image of an infinite number such that the digits beginning that mirror image would be the digits that end the infinite number.
One of the issues we should be addressing is that of how we now, in space, that we are in the right space in time. When we are at location X and we move to Location Y, we merely believe that we are in the right space in time because we did not transcend any dimensions, and so our existence in Y is related to our previous existence in X by the dimension within which the space-time traversal occurred. So, when we are at the beginning of an infinite number, we are attempting to rediscover the space in time from which the time-traversal began such that no dimensions were traversed (or, if traversal occurred, the final dimension was the initial dimension). We will discuss dimensions in the next chapter.
Chapter Three: Dimensional Mathematics
(To be revised. We reached the summit but could not maintain that height and so we lost sight).

There are nine dimensions in dimensional mathematics. They represent the totality of infinite possibility computation. We will discuss them intuitively first then apply the symbols relevant to them.
As we discussed earlier, the existential dimension, D1, is the dimension without which no other dimension could exist. This is so because it is this dimensions that symbolizes existence. The only number that can occur in D1 is the number one. As we will find, the maximum number of ones that can occur in D1 is nine.

The First One:
The first one is infinite existence. It is everything that has the ability to exist. It is every conceivable existence and even those as yet not conceivable due to the state of perception of those who conceive things. If a tree falls in existential space and no one hears it, does it make a sound? Enter the second one.

The Second One:
Because one symbolizes infinite existence, a one extant in the presence of another one is, clearly, a metaphor for infinite existence that allows for the possibility of infinite awareness of infinite existence. When this second one exists, that is when this metaphor is, D2 is created. The second one (in concert with the existence of the second dimension) is thus known as the primary metaphor. It is that because of which the possibility of infinite awareness exists. And so, the number two now exists in D2. A single two in D2 represents the existence of the primary metaphor.

The Third One:
When D2 is active, we can speak of the possibility of infinite awareness of infinite existence. What then happens if we have another one introduced in D1? We may call this new one the instantiated existence that came about as a direct consequence of infinite existence and its metaphor. So, D3 is that dimension in which an existence with infinite awareness of infinite existence exists.


The Fourth One:
A new one is introduced to D1, which, quite clearly, is a metaphor for the newly created recursive existential object that instantiated D3. This metaphor represents the possibility of existence of exact numbers of the type from D3. We can call it the secondary metaphor and it is represented by the number four. Let us peek into each dimension, now, and see what states of affairs obtain. In D1 we have a one and a one and a one and a one. In D2 we have a two, the primary metaphor (and the possibility of the existence of a thing). In D3 we have a three, the “type” object. In D4 we have a four, which is the secondary metaphor (and possibility of the existence of a number of the types made extant through D3).

The Fifth One
This one, then, it should not surprise us to find, is the quantity of the created types from D3. D5, containing the number five, (really an allusion to the fifth one), can represent infinity because an infinite number of types can exist. That is, there is no constraint on the number of recursive existential objects that can be created as a result of D4, the secondary metaphor. Now we arrive at computation. Now that we have computable numbers, due to the existence of D5, we need the possibility to manipulate these numbers in any way possible. So, we introduce a new one. Note that the closer the number in D5 gets to infinity, the less stable the fifth one is and the metaphor’s direction may change so that if infinity is reached, the process is completely reversed and the fifth one is reabsorbed back into the third one and D5 “collapses” or merges into D3, the dimension within which exists the type from which an infinite number of types that can be produced exists.

The Sixth One
The sixth one is the computation metaphor. For any computation to occur with the number symbolized by the fifth one, there will be required to be a set of symbols that will be used in this computation. This metaphor allows for the possibility of this set of symbols since the metaphor of the object from D5 can be any computational symbol. It allows any sort of numeric manipulation to occur with the number symbolized by the fifth one. A metaphor for a number, as you might imagine, can be any number. So, any conceivable computation is theoretically possible due to D6. It is possible for D6 to occur after D5 has merged into D3 due to infinity. This is infinite computation. The computation, at this point, involves types, so that we can compute the purest type against a conventional numeric type and obtain answers that contain relevant information. This is the advantage of recursive existential objects. They can be used for infinite computation when necessary because, since they are metaphors for existential space, they contain within them infinity.

The Seventh One
This one, obviously, is the result of the computation carried out due to D6.