vol 7: Notes
2000
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... to restore theology to the mainstream of science
[Notebook NAKEDICAME, DB 53]
[Sunday 10 September 2000 - Saturday 16 September 2000]
[page 4]
Sunday 10 September 2000
Monday 11 September 2000
Tuesday 12 September 2000
Buddhist Theology Jackson and Maransky 2000
Let us accept that thee are now at present a large number of religions in the human world and that each of them has a system of symbolizing, preserving and developing its beliefs. Scholars have written volumes about particular religions, both from within those traditions and from outside. Those working inside have the advantage of a common language and common traditions, but the difficulty of adapting to an ever changing environment. Those working from outside have the difficulty of dealing with a foreign language, but
[page 5]
the advantage of a broader perspective that makes it easier to discern the role of religion in diverse cultures. Many might agree that such a study of religions and theologies shows fundamental symmetry.
AXIOM 1: Scale invariance -> set theory
AXIOM 2: complexity as the measure of scale.
The problem of theological translation may be viewed from the perspective of the mathematical theory of communication. So in we jump
1. Shannon
2. Coding and complexity management - permutation and combination
TRANSFORMATION THEORY
UNITARY OPERATOR REPRESENTING RELIGION
The structure of the wave function of the universe.
[page 6]
SET + COMPUTER (= MAPPER)
Hypothesis: the world is isomorphic to an implementation of the theory of sets
= {SET} + COMPUTER [MEANING]
MEANING == MAPPING (Function)
function: analytic - high probability set/ Lookup Table (LUT) the rest.
E-theorem on all functions (Khinchin 1957)
Within religions, 'monks' are the literate preserves and transformers of the religious language,
COMMUNISM and CAPITALISM are ORTHOGONAL elements of human space.
nakedicame chatroom.
[page 7]
What the transfinite network looks like in quantum physics is a transfinite hierarchy of unitary operators.
GOD - XIANITY
NO-GOD - BUDDHISM
Wednesday 13 September 2000
CRITICAL (academic) = COMPETITIVE (for tenure = retirement = peace)
PEACE = INDEPENDENT MEANS
Living off pure cashflow.
Steve Jobs, whose annual salary for rescuing Apple is $1.
So we establish to pure cashflow model. How far can it go? Whatever it does, it has to maintain its physical basis. As the system becomes more spiritual the cash/resource ratio will increase, so giving the same measure of human life for a
[page 8]
smaller physical footprint on the earth, We maximize LIFE/FOOTPRINT in any given situation and see where this leads.
NATURE
1 CANTOR SYMMETRY
2 FIELD THEORY
3 MODEL
4 ECONOMIC APPLICATION
5 NAKEDICAME
Let us manufacture the largest possible space in which to construct a model of God (or if you prefer, not-God; since God and not-God differ by the most significant symbol in an infinite ordered set of symbols they are almost equivalent. Tricky here. Anyhow, forget all this and simply ...
[page 9]
PhD: study of nakedicame concept
"The theology of money"
Money cannot buy love (of itself) but in the correct context it may be an expression of love, since love implies sharing value.
MATRIX REPRESENTATION OF PERMUTATION GROUPS.
Cantor symmetry = principle of finity (Hallett 1984)
Most significant symbol <-> first symbol
Least significant symbol <-> last symbol, and vice versa.
nakedicame gives faith, hope and charity by being bonded in the global system and therefore sharing in the global stability.
STABLE - UNSTABLE [diagram]
[page 10]
Why did we not draw stable and unstable in the opposite way? Because we assumed a direction for the potential field on the page with high energy at the top and low energy at the bottom. With the opposite convention, (that is the one in which we always hold our books top down in the earth's gravitational field) the opposite picture is used, although the words stable and unstable remain the same.
Make a little matrix to permute these symbols, {stable, unstable, up, down}
We are looking here for physical and metaphysical insight, using the mathematics as a tool.
We begin with the idea of permutation, that is varying the order of a set of distinct objects. The set {a} has but one permutation {a}. <> denotes ordered set, {\} disordered
[page 12]
{a} -> <a>
{a, b} -> <a, b>, <b, a>
{a, b,c} -> <a, b, c>, <a, c, b>, <b, a, c>, <b, c, a>, <c, a, b>, <c, b, a>and so on
The number of permutations of n symbols is n * (n-1) * (n-2) * ... * 1 written n!. This becomes clear when we think about selecting a given ordered set (permutation) out of a set of n objects. We can select the first symbol in n ways, that is we can choose any one of the n symbols, leaving (n-1) unchosen. The second symbol may be chosen in (n-1) ways from the (n-1) remaining, and so on until one is confronted with the last symbol, which gives only one choice, choose it.
Now we consider each permutation as symbol in itself. For clarity and abbreviation, let us name the six permutations of the set {a, b, c} {A, B, C, D, E, F}. From these six symbols we can construct 6! = 720 permutations, eg <ABCDEF> and so on. With these 720, we can create 720! further symbols, a gigantic number in the vicinity of ? And so on. Such is the power of permutation.
[page 12]
[do this for 2]
Now let us carry this idea over into the infinite domain. We begin with the set N of natural numbers. Although the set of natural numbers is infinite, the important properties common to all members of the set are expressed in Peano's axioms.
The natural numbers are infinite, that is there is no last one. Nevertheless the notion of the set of all natural numbers makes sense. Following Cantor we call the cardinal number of the set of natural numbers card(N) = aleph(0). We may also consider an object called the ordinal number of a set, that is a representation of the elements of a set in order. The natural numbers have a natural order imprinted upon them by the generation process described by Peano's axioms.
[page 13]
As well as the natural order of the natural numbers, we have permutations of the natural ordering. By analogy with finite sets, we assign the cardinal number aleph(0)! to the set of all permutations of N and (again following Cantor) coin a new name aleph(1) = aleph(0)! By permuting the elements of aleph(1) we arrive at a set of ordered sets whose cardinal number is aleph(2) and so on without end, thus giving us the infinite space of ordered sets called the Cantor Universe.
Now it is a common observation that in any language, meaning is expressed by ordered sets of symbols. The meaningful text may be an ordered set of letters (as in this text) or of lights or of sounds of or movements or anything which is detectable by the human senses.
Thursday 14 September 2000
Friday 15 September 2000
Saturday 16 September 2000
Books
| Hallett, Michael, Cantorian set theory and limitation of size, Oxford UP 1984 Jacket: 'This book will be of use to a wide audience, from beginning students of set theory (who can gain from it a sense of how the subject reached its present form), to mathematical set theorists (who will find an expert guide to the early literature), and for anyone concerned with the philosophy of mathematics (who will be interested by the extensive and perceptive discussion of the set concept).' Daniel Isaacson. Amazon back |
| Jackson, Roger, Buddhist Theology: Critical reflections by contemporary Buddhist ScholarsRichmond, Curzon Press 1999 Jacket: 'This volume is the expression of a new development in the academic study of Buddhism: scholars of Buddhism, themselves Buddhist, who seek to apply the critical tools of the academy to reassess the truth and transformative value of their tradition in its relevance to the modern world.' Amazon back |
| Khinchin, A I, Mathematical Foundations of Information Theory (translated by P A Silvermann and M D Friedman), Dover 1957 Jacket: 'The first comprehensive introduction to information theory, this book places the work begun by Shannon and continued by McMillan, Feinstein and Khinchin on a rigorous mathematical basis. For the first time, mathematicians, statisticians, physicists, cyberneticists and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field.' Amazon back |
Click on an "Amazon" link in the booklist at the foot of the page to buy the book, see more details or search for similar items
Related sites:
Concordat Watch
Revealing Vatican attempts to propagate its religion by international treaty
