THE INTEGRITY PAPERS | Mathematics Main Index Page | ceptualinstitute.com |
The Mathematics of Integrity |
Panorama - Getting Comfortable
This link site will give you access to the simple yet formidable mathematics that rest at the core of the Integrity Paradigm. Don't let anything you read here put you off, scare you off, or intimidate you. If you have the language skill to read these words, you have the skill to comprehend the mathematics. It is just another language. The images are absolutely primal. You -- your life, your mind, your world -- are extensions and expressions of it, and everything you read will be familiar.
Yes, there are conceptually intense and exotic mathematical forms and concepts in the world. Yes, there are notions built on notions, subtle and hard won from the minutia of human thought and of experience which deep thinkers have found or enunciated out of their singular moments of creative insights throughout the generations. But each and every one of those ideas were born out of the same experiences and cognitions that every person is capable of -- when they put their mind to it. All I am saying, is that you may have made choices during your life, to spend most of your time thinking about other things besides mathematics, but that you are as capable as any great thinker to understand the universe we are part of.
This is what human existence and civilization relies on in fact -- the ability of every human to sentiently grasp, ingest, internalize -- ceptualize -- any and all possible thoughts which any of our companions can come up with. How extraordinary! How absolutely wonderful and marvelous! Our species -- building skill upon mental skill -- surviving and thriving and advancing, all because each one of us harbors a competence intrinsically equal to any other.
Expect yourself to rise to any occassion of mental challenge, even this one. Know that you already have insights and abilities which are automatic, autonomous, autonomic, and define your integrity as a human being. These math discussions are merely awakenings of what is already part of your thoughts and knowing. I will be interpreting what is just another of humanity's languages. Equations and such are not so much "rules" as they are descriptions of relationships, models of how things relate to one another -- in shape, in time, in sequence, in quantity, and in quality. Relationships which every human being experiences and intuitively understands long before being written and codified in the language of mathematics. They mean something. And you can understand.
For those of you well versed in higher mathematics, don't be dissuaded by the simplicity of the metrical diagrams or paucity of symbolic equations. Think of them as variations of Feynman diagrams . . . geometric correlates of relationships and extensive information inherent in the complex equations you are more used to. Linguistic transductions. Alternative renderings of the same information.
(.htm conversions are in progress -- un-linked files will be web-published shortly)
MATHEMATICAL TOPICS
Where to start?...with Candor Mathematicians on Mathematics
Dimensions & Boundaries - The Primer
Fundamental Complexity - Plural (+/-) Entropies
Rethinking Heisenberg's U.P. as Information Operator
Apollonius - Alternative to Pythagorean Trigonometry
Shifting Dimensions - Keeping "Information" (quads;coding)
Particle/Wave Equality & Heterotelic Quarks
Simson Line
Abelian vs non-Abelian Information Content
Symmetry Breaking - source of +/- Entropies
Integrity Dynamics - Function, Poise, Endurance & Change
Consistency, Coherence, Compatibility
The Integrity Function. Probabilities where 0 = 1.
Primacy of Gradients - Time precedes Statistics
Temporal Topology - Gravity re-constructed
Temporal Topology - Non-locality revisited
Gödel completed - Plato and Invisible Apples
Sonoluminescence - Unbreaking "symmetry"; info packing
Ljubljana Internet lecture - "Self-Sentient Topology"
Good discussion of most of the essential geometry dynamics that
are to be covered in several of the as yet unlinked topicsThe "Integrity Game"
THE INTEGRITY PAPERS (LINKS TO CEPTUAL READINGS)
GENRE WORKS (OTHER WRITERS)
POETICS
MINDWAYS (LINKS TO GLOBAL THINKERS)
"NON-FRACTAL COMPLEXITY" (Order the Videotape)
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