Notes
[Notebook Turkey, DB 55]
[Sunday 29 December 2002 - Saturday 4 January 2003]
[page 139]
Sunday 29 December 2002
We want to build a model candidate for a theory of everything. We begin with the assumption that the Universe is divine, ie there is, by assumption, nothing outside it to limit it in any way. We continue through this chain of assumptions to construct what we imagine to be the
[page 140]
largest possible (or at least very large) structure. This for our purposes is the Cantor Universe conceived in terms of permutations rather than subsets.
Monday 30 December 2002
I have proven (in three instances) that I make an unsatisfactory married man. This seems simply because I am too self-centered and preoccupied with the religion business to give anyone the amount of attention necessary to maintain a marital relationship. Not that I would not like this, and see this period of random singularity as a time to get this business in some way over and done with. This means getting to some publicly exhibited foundation which all can see is the bees knees. The transfinite network remains my starting point.
Philosophy and Religion [= abstract and concrete] have been slowly evolving toward one another. The vehicle for this process is mathematics.
M (compare G) may be seen as the totality of possible human minds or anima mundi humani.
Proof or computation is a logical wormhole from one ordered set A (the hypotheses) and ordered set B (the conclusion). So the axioms (hypotheses) of Euclidian geometry give us Pythagoras' theorem.
Tuesday 31 December 2002
At present construction of the transfinite network is rather shonky, and I have submitted it to the hypercomputation discussion group for comment so far without result. The two keys seem to be the use of pointers (names) to manipulate transfinite sets and the use of communications (oracles) to beef up individual Turing machines. How do we combine these into a coherent
[page 141]
model, ie one powerful enough to make transformations that are in aggregate more than a single Turing machine can do. We may say that a Turing Machine implemented as a lookup table can handle any particular permutation of the natural numbers. Sop ℵ1 of these machines can produce the ℵ1 permutations of the ℵ0 natural numbers., But then what?
Wednesday 1 January 2003
Happy New Year.
Looking forward to another year prospecting in my claims for gold.
Continuing the division of self and Company, looking in it for lessons about the relationship between individual and corporation. Let us think of ℵ0 as the individual which we model by a universal Turing machine, that is, a machine on its own. In order to create a true corporation, we need to combine a number of autonomous entities into a functioning whole. Obviously the fact that the entities are autonomous means that their collective activity is no longer completely deterministic as in a Turing Machine. We therefore try to capture the essence of a corporation with a network of computers. Nevertheless, the system cannot be completely random. Its elements are deterministic and must follow deterministic protocols in processing their random instances of communication with one another. The fact that you are reading this page of all the written pages in the world is a random event, but the meaning that you derive from this physical entity is transmitted by our sharing the written English protocol.
[page ]
The baby playing is as much action as the Pope praying, and can be subjected to the same theological model.
Bertrand Russell: The Wisdom of the West page 185: "It is sometimes thought that at the turn of the seventeenth century science sprang into life fully armed as Athena from the head of Zeus. Nothing could be further form the truth . . . " Russell.
The first ground captured by the new fledged science as astronomy, where the situation is relatively precise and clear.
What we are trying to do is model 'the numerical structure of things. Russell p 185.
Right now there might be nobody else on he planet except me in this house. Soon however a random act of communication will occur (phone call, a visitor, a visit, etc) and remind me that I am part of a larger Universe. Every photon that we receive from outside the planet bears a similar message [as does every physical input to me as I sit here]
A corporation is a set of similar objects. The necessary similarity between them is that they share the same communication protocols. In a physically complete (= fully wired) world each corporation corresponds to a protocol in the same was that each language group (tribe) shares a language. By learning to translate between languages, corporations can be merged (and after the merger is completed revert to a singular language).
Thursday 2 January 2003
Here we assume that the Universe has evolved and is evolving. Additionally (and which amounts to the same thing) we assume that everything starts simple and gets more complex with the passage of time. We and our planet are the product of this process and to understand ourselves and our potential fates we need to understand how we came to be and the invariant elements of that process which have value for predicting the future. The process of discovery is a very haphazard business with many false starts and blind alleys [as these notes attest], but we have come far enough along the way of science to know that these fluctuations in progress are just fluctuations and we will overcome some day. Once things are understood, we can explain them to others, the process known as education. In many areas of education it also pays to start simple. The foundation of scientific explanatory simplicity is the mathematical object we call the ordered set. Here we have the mathematical expression of a form without motivation. Another name for this is text. Mathematics is all about the formal manipulation of texts. The fundamental form of manipulation is mapping where one thing is connected to (and often replaced by) another. If we are given an ordered set, e can rearrange it in a number of different ways called permutations, so that one ordered set can be mapped onto a set of ordered sets which is the set of all permutations of the original set.
mathematical existence.
How do we conceive of the Lorentz transformation as a permutation? Easy via the notion of function.
Friday 3 January 2003
'. . . in the everyday world of facts there is no contradiction.' Russell p 250.
Saturday 4 January 2003
We might explain motion as the freedom across the transfinite transition. At level n the aleph(n) elements in each permutation are in effect locked in by the determinism of their structure., They can
[page 144]
only move if they have access to another dimension. Invoking a principle of sufficient reason plus possibility to motivate any change (since change is expensive and dangerous). So we see the change in n moved by an impulse from layer n+1.
Best to conceive of heaven in terms of satisfaction rather than pleasure - ie system getting enough (and not too much) of all necessary inputs for error free functioning. Russell on JS Mill, p 267.
Another look at the political trinity:
Justice -> democracy in opinion "a fair say" spiritual
democracy
Socialism -> distributive justice, material democracy
Capitalism -> maximizing productivity - evolution - increasing
probability of survival, ie increasing durability and complexity of
'capital' seen both as an ordered set and as a cardinal number.
The Theology Company will spend seven years building an intellectual capital and then see shares in this capital to the public to finance the promotion and distribution of the structure we call the intellectual capital "natural religion". Fitting ideas to concrete realities.
Marx (Russell p 271) My body is the mode (means) of production of my life.
