Friday, October 26, 2007

The meaning of the title

This writing is all about everything and about nothing; it is about certainty and uncertainty; it is about determinacy and about indeterminacy; it is about stability and about change.

I call it Foundation Theory, because we tend to create these distinctions that transform little by little, bit by bit, so that what we once revered as everything changes to nothing;what we once swore upon as a certainty now seems more uncertain; what we once relied upon as stable no longer offers that same security. The opposite pattern also occurs, where from nothing something grows, uncertainty tends to find a surer more certain footing, the insecure gain confidence.

The goal of writing this is to free up our functioning world-wide, that is expressing itself differentially in better environments, but not as potently as it ought to universally, to bring hope and prosperity to all societies, and all of humanity within those societies beyond the cloistered environs of religion and science.

This is exactly the same expressed aim of Jesus, as written, when he declared, "I have come so that you might have a more abundant life." There are millions living the abundant life, but there are billions who are not. Nothing here changes the earlier prophetic messages. The intent of this writing is to express the generality that underlies all of our religion, our scientific effort, and our productivity.

We need a principle that states the commonality, and provides a method for all of us to sort out the contradictions in our speech, to lend strength to our good intentions.

The God particle; where we come in

Mankind has always attempted to define conclusively and exclusively, what is super-natural, beyond understanding, and all powerful. It is a never ending quest that has centered upon strong leaderships, upon stupendous natural events, upon the heavens and upon particular heavenly bodies.

We know intuitively that we haven't the full tool set to realize what we do not know, but that our living with any kind of prosperity and success depends upon our search.

Formalistic based searches, as proved by Kurt Godel,are incomplete. He identified the source of our tool-making developments as discoverable by Intuition alone.

Intuition is a dimensionless concept, like the concept of a point, a line, and a circle. It is therefore a birth-right tool, as meaningful, and as meaningless, as the first life-indicating response of a new borne child.

If we in error, continue to fix a concept of God, we will always end up shackled in service to a god, a particle of understanding, less expressive than our first awakening cry.

The Exodus is my inspiration for the Generality principle.
It is written that Moses, unable to express what he was confronted with, asked how to identify the indicator of the law. "Say that, I Am that I Am." Form begets Form, the source of all indication, the beginning and the end of all indication.
In order to restore indeterminacy, gained during the trials of the Exodus, but lost to the rigidity of the Form of the religions of his day, Jesus exhorted his followers to act in Faith. God is helpful, and is expressed intuitively, in continuous indication. Without faithful action, freely and intuitively expressed, God is not revealed.

So, A stifled people, no matter how religious in observance, will fail to grow in understanding and prosperity, when the natural birth-right of a oneness with God is denied or qualified by intercession.

The form of Buddha is not God. The form of Roman Catholicism is not God. The form of Allah is not God.
We are at war now because we are all idolaters to the forms of our incomplete understandings. God is still, and always will be, beyond the explication of our keenest endeavors.

A better understanding depends upon our acknowledging all humanity at the borders of our societies. We won't find a peaceful solution in any particular religion or religious study. We do need to heed with great caution, and with great humility, the relativity of Form and Function, and do all we can to create a better fit for all within our societies and without, and determine the truth of this Foundation Theory through daily observance in general activity.

The Uncertainty Principle: Heisenberg

The more precisely the position is determined, the less precisely the momentum is known in this instant, and vice versa.
--Heisenberg, uncertainty paper, 1927

The above quote is taken from the following source:
http://www.aip.org/history/heisenberg/p08.htm

That there is a search for the forces defining the shape of the electron, in the Higgs boson, the so-called "God particle", will not alter the concept and the reality of the uncertainty principle first described by Werner Heisenberg as a generality in Foundation Theory.

Foundation Theory must ever relate to the sensibility of living matter. Just a Kurt Godel distinguished Intuitive Truth from Formal verification, and even as for example, the fluidity of water is an emergent quality of water, not found in a single molecule of water, There can be no such intelligible thing as a "God particle".

There is no end to formal discovery. Ultimate congruency is no more meaningful than a new borne baby's first cry, which means the whole totality, if we had but ears to hear it's message entirely.

The Incompleteness Theorems: Godel

In my earlier discussion, I attempted to illustrate that the function of any form is a relative concept, essentially indeterminate, and that no indication of a form is sufficient to satisfy congruency, that the broader currency of the indication relies upon an interpretation within a language structure.

Kurt Godel, 1906-1978, put it another way in his Incompleteness Theorems:
http://www.exploratorium.edu/complexity/CompLexicon/godel.html
The following is copied from the above reference site.

"In 1931 the mathematician and logician Kurt Godel proved that within a formal system questions exist that are neither provable nor disprovable on the basis of the axioms that define the system. This is known as Godel's Undecidability Theorem. He also showed that in a sufficiently rich formal system in which decidability of all questions is required, there will be contradictory statements. This is known as his Incompleteness Theorem.
In establishing these theorems Godel showed that there are problems that cannot be solved by any set of rules or procedures; instead for these problems one must always extend the set of axioms. This disproved a common belief at the time that the different branches of mathematics could be integrated and placed on a single logical foundation."

The Generality Statement

David Hilbert, the outstanding formalist of Europe, 1862-1943, made this observation: The art of doing mathematics consists in finding that special case which contains all the germs of generality.

I looked for what it was that defined mathematics, whether it was in geometry, symmetry, algebraics, or whether it was in logic, in intuition, or whether it was in an appreciation of beauty. I couldn't find any discipline that exactly and exclusively defined what mathematics was.

My concern was this: is mathematics a natural tool of all form, or not? Clearly if a tool of all form, then it has to be accessible to all form, both consciously and unconsciously.

Whatever mathematics may be, therefore, must be found in this generality:

Form determines function;function alters Form.

The indeterminacy of Form and Function

Because any form begins as an indicated encirclement within an undefined form, and because the event of indication is either arbitrary or without any perceived cause, it must be understood to be indeterminate.

There is no doubt that our forms and our functions are invested with undoubted reality. But that is not the point. When we are caught up in our pursuits, and fully engaged functionally, we have no real concept of our form. When we are fully and properly defined according to any perceived status, we have no real concept of our potential functionality.

Indeed, definitions of form may limit function; definitions of function may limit form Some may say, "Ah,ha! Clearly this means determinacy." Perhaps practically, this may seem so. Yet, virtually all of the current problems in our world society may begin to find resolution when humility establishes as a "universal" truth, the intuitive truth that as we grow, our forms, our functions, our tools, our comprehensive capacities and capabilities change.

This leads me to offering a formal expression of Foundation Theory.

Function: a form of a tool within a Form

The idea of a function is simply this: a function is that which indicates a Form.

The study of genetics and epi-genetics is revealing more clearly how mechanically we form in interaction with our environment. The formation is one-to-one in reaction to sensibility.

The indicative function compounds with experience to increase the formal congruency internally and externally, or to increase an understanding of a potential congruency. In general, as a concept, the boundary activity never ceases.

This may be understood as an indeterminacy.