Notes
[Notebook NAKEDICAME, DB 53]
[Sunday 21 January 2001 - Saturday 27 January 2001]
[page 131]
Sunday 21 January 2001
So at last we getting somewhere with a few actually productive questions. Is the transfinite network a topological space - compare to axioms.
We are working toward a transfinite dimensional Hilbert space.
The creation and annihilation operators operate on us as they do on every other level in the Universe. We use set theory to pump them up (complexify them) until they are adequate to the task.
[page 132]
One acts for return. The probability of return is a function of personal power and the stability of society. Weak people in an unstable situation must act in desperation, whereas powerful in a stable environment may act at leisure. Parametrize this duality.
We are strangers to one another because our minds tend to be formed in small subspaces of the space of human mind. The trend in education, at least in the scientific world for the last four hundred years, has been toward the creation of larger and larger mindspaces. Science, by looking on to the mindspace of the Universe has been forced to realize that anything less than transfinite mathematics is totally inadequate to deal with the world as we find it. The infinite dimensional Hilbert space of quantum mechanics is just the least complex layer of the universal space we inhabit.
[page 133]
. . .
The easiest way to express myself is in technical language then it has to be translated into natural language and promulgated.
Lets say the planning phase (1963-2001) is over and construction is under way.
This is a challenge to my fellow persons and other corporations: Where do you fit in this scale of ???
NATURAL-SPIRIT.COM
The last few centuries have seen a battle
[page 134]
of the individual against the machine. In some cases we are winning. In others the machines are winning. We are on our side. Machines must serve us and not vice versa. Since we rely on the planet for survival this is tantamount to saying that the machines must serve the planet.
Now read on.
More generally, the machines must serve the spirit. This is the natural and stable thing to do.
Natural-spirit is about corporate murder. We prove scientifically that there are no corporate grounds for killing people in the optimum system.
What is the coupling constant between judicial murder and the prevention
[page 135]
of crime?
WAR = CORPORATE MURDER
A delightful epistemological romp through the late middle ages when science was struggling to drag itself clear of ancient religions and superstitions. Pears
Method:
Explanation = {HISTORY, STRUCTURE}
All of the books listed for sale are ones that I own and have read once or many times, some dating back to my childhood. They may all be assumed to have had some influence on what I write here and would repay reading if you wish to understand ideas by their history.
Monday 22 January 2001
Tuesday 23 January 2001
Wednesday 24 January 2001
Thursday 25 January 2001
"No institutions currently have the authority to enforce responsible use of the global commons." This is the task of Natural-Spirit, to set
[page 136]
up a global treaty to which all individuals may accede, and which imposes individual responsibility for the use of commons in the context of open debate and scholarly documentation of possibilities and outcomes.
Kauffman: At home in the Universe. Kauffman
Symmetry - TOPOLOGICAL SPACE (continuous deformations = actions within the peer level [peer group]
MANIFOLD - LORENTZ METRIC
Then to PROBABILITY SPACE
HILBERT SPACE
ARCHITECTURE: From dream to reality via formalization and engineering.
Formalization : proof : construction TRAPPING ELEMENTS IN PLACE with the right number of degrees of freedom.
IN LUST is a member of IN LOVE
a subset is not identical.
[page 137]
Kauffman: autocatalytic network. Implemented in transfinite computer networks. This network is big enough to be absolutely autocatalytic. Tnrp is itself a catalyst catalyzing the reaction from Roman Catholic to natural religion (and of course back again) but the increased entropy of natural religion will make it the predominant state almost everywhere.
One theorem in the model per section of the Development - back to the old ens, res, aliquid, unum, verum, bonum.
[diagram linking these to method, model, physics, biology, cybernetics, psychology, theology.]
[page 138]
How does Kauffman's theorem relate to symmetry ; minimum autocatalytic group.
Draw it in trees and graphs (permutations)
Group actions eg EM field which is in a sense autocatalytic (like a pendulum) autocatalytic with a period.
How does it relate to equality, democracy, localization etc. [edge of chaos attractor]
The inherent symmetry of symbolism = duality = dual topological space.
PROVE THE E-THEOREM ON THE TRANSFINITE NETWORK. Khinchin
The inner structure of the complex dynamics might be best explained in the TCN (transfinite computer network), the interior of each transfinite cardinal (peer space) acts as a black box to the levels above and below it (decoupled)
[page 139]
COMPLEX DYNAMICS - CREATION THEOREMS
A rigid tetrahedron of theorems transported through time THEOREM = TIME INVARIANT
Using the likes of Kauffman (the E-Theorem and the minimum action theorem) we come to a set of symmetries that bring the divinity down to the human scale over peer space in which we work out our human interactions.
Without loss of generality god = god for humans = {all possible human communications} = ℵ0 [Why? this is true physically, but the space of all meanings of human physical interactions is bigger?]
Communication: either by mystery or by the transmission of digital symbols. We opt for the latter, physical states = {structures = ordered sets of information}
[page 140]
SETHOOD is the DUAL OF TRANSFINITY
We generate stable structures by placing membranes in place. A tree is like a membrane in that it defines a closed set of elements connected through the branches to the root.
SYMMETRY -> PROOF
PROBABILITY SPACE (METRIC)
What are we looking for in a closed autocatalytic system?
LOCAL = PERSONAL
SYMMETRY : THE REAL LINE (history if incommensurability = not-SYMMETRY)
We need to generalize Kauffman's NK model to the transfinite degree, asking as we go questions like is mathematics autocatalytic? is mathematics conscious? is mathematics consistent,
[page 141]
complete, computable etc.
Are complex numbers the routes from the rational to the real?
rational (ℵ0) via complex to real (aleph( > 0))
The properties of a set depend on cardinal number, and on the cardinal numbers of all its subsets.
In the GUI [graphic user interface] analogy, we speak of the power (number of pixels) of a window.
PIXEL = NATURAL NUMBER
What does the E-Theorem mean in topological (geometric space) : Combinatorial expansion of the distance between symbols eventually overcomes any propensity for confusion. Pierce
CONVERGENCE [increasing bandwidth (greater than source entropy) converges to error free]
NATURAL SPIRIT = SOCIAL CONTRACT {arbitrary, necessary}
