natural theology > notes > 10 September 2000

Notes

[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 there 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) = ℵ₀. 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 ℵ₀! to the set of all permutations of N and (again following Cantor) coin a new name ℵ₁ = ℵ₀! By permuting the elements of ℵ₁ we arrive at a set of ordered sets whose cardinal number is ℵ₂ 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

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty

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Burgess, Anthony, Here Comes Everybody: An Introduction to James Joyce for the Ordinary Reader, Hamlyn Paperbacks 1982 Foreword to revised edition: 'My book does not pretend to scholarship, only to a desire to help the average reader who . . . sees all his works available in aperback and is scared more of their content than their price. The appearance of diffuclty is part of Joyce's big joke; the profundities are usually expressed in good round Dublin terms; Joyce's heroes are humble men. If there was ever a writer for the people, Joyce was that writer. But there is need for the kind of pilot-commentary I attempt to provide. After nearly fifty years of reading Joyce, it seems only right that I should pass on what I have learned of his methods to those who come fresh to his riches.'
Amazon back

Christie, Agatha, Death Comes as the End, HarperCollins 2001 Amazon customer review: "An ancient setting. An age-old crime. A timeless mystery." 'I have read everything Agatha Christie has ever written, and i think this one is definitely the best. Even such masterpieces as Murder on the Orient Express, Towards Zero, Murder in Mesopotamia and Ordeal by Innocence pale in comparison with this brilliant piece of writing. With this book, she outdoes Paul Doherty and Ellis Peters at their own game with just a single blow. The characters are great, the plot is great, the setting is the most interesting ever. This is her best novel. It's nothing short of fabulous.' A reader, 15 Dec 2001.
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Deighton, Len, Only When I Laugh, # Mysterious Press 1987 Amazon Editorial Review: From Publishers Weekly Originally published in England in 1968, this early Deighton novel is set not in his familiar espionage milieu but in the world of international con artists. As caper novels go, it is entertaining, even cute at times, but it is far less than what Deighton fans expect from the author of such bestsellers as The Ipcress File, SS-GB and Berlin Game. Told in alternating chapters by the three members of the con teamSilas, Liz and Bobthe book recounts the trio's exploits, first in New York as they bilk a pair of businessmen and later in their London home base where they launch an ill-fated scheme to sell phony arms to a small African nation. The repartee among the three is as much a part of plot as are the details of the "stings." Bob's ambition to become the ringleader, as well as to separate Liz from Silas, leads to a final operation in Beirut. Clever and not without charm, the book is nonetheless unpolished and lightweight compared to Deighton's best. 50,000 first printing; 35,000 ad/promo. Copyright 1987 Reed Business Information, Inc.
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Feynman, Richard P, and Robert B Leighton, Matthew Sands, The Feynman Lectures on Physics (volume 3) : Quantum Mechanics, Addison Wesley 1970 Foreword: 'This set of lectures tries to elucidate from the beginning those features of quantum mechanics which are the most basic and the most general. . . . In each instance the ideas are introduced together with a detailed discussion of some specific examples - to try to make the physical ideas as real as possible.' Matthew Sands
Amazon back

Feynman, Richard P , and Albert P Hibbs, Quantum Mechanics and Path Integrals, McGraw Hill 1965 Preface: 'The fundamental physical and mathematical concepts which underlie the path integral approach were first developed by R P Feynman in the course of his graduate studies at Princeton, . . . . These early inquiries were involved with the problem of the infinte self-energy of the electron. In working on that problem, a "least action" principle was discovered [which] could deal succesfully with the infinity arising in the application of classical electrodynamics.' As described in this book. Feynam, inspired by Dirac, went on the develop this insight into a fruitful source of solutions to many quantum mechanical problems.
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Feynman, Richard, QED: The Strange Story of Light and Matter, Princeton UP 1988 Jacket: 'Quantum electrodynamics - or QED for short - is the 'strange theory' that explains how light and electrons interact. Thanks to Richard Feynmann and his colleagues, it is also one of the rare parts of physics that is known for sure, a theory that has stood the test of time. . . . In this beautifully lucid set of lectures he provides a definitive introduction to QED.'
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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.
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Jackson, Roger, and Roger Makransky (editors), Buddhist Theology: Critical reflections by contemporary Buddhist Scholars, 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.'
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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.'
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Misner, Charles W, and Kip S Thorne, John Archibald Wheeler, Gravitation, Freeman 1973 Jacket: 'Einstein's description of gravitation as curvature of spacetime led directly to that greatest of all predictions of his theory, that the Universe itself is dynamic. Physics still has far to go to come to terms with this amazing fact and what it means for man and his relation to the Universe. John Archibald Wheeler. . . . this is a book on Einstein's theory of gravity (general relativity).'
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Shelley, Mary, Frankenstein, Pocket 2004
Amazon back

Shelley, Mary Wollstoncraft, and Johanna M Smith (editor), Frankenstein: Complete, Authoritative Text With Biographical, Historical, and Cultural Contexts, Critical History, and Essays from Contemporary Critical (Case Studies in Contemporary Criticism), Palgrave MacMillan 2000
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Tomonaga, Sin-itiro, The Story of Spin, University of Chicago Press 1997 Jacket: 'The Story of Spin, as told by Sin-itiro Tomonaga and lovingly translated by Takeshi Oka, is a brilliant and witty account of the development of modern quantum theory, which takes electron spin as a pivotal concept. Reading these twelve lectures on the fundamental aspects of physics is a joyful experience that is rare indeed.' Laurie Brown, Northwestern University.
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Wiener, Norbert, Cybernetics or control and communication in the animal and the machine, MIT Press 1996 The classic founding text of cybernetics.
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Papers

Shannon, Claude E, "Communication in the Presence of Noise", Proceedings of the IEEE, 86, 2, February 1998, page 447-457. Reprint of Shannon, Claude E. "Communication in the Presence of Noise." Proceedings of the IEEE, 37 (January 1949) : 10-21. 'A method is developed for representing any communication system geometrically. Messages and the corresponding signals are points in two function spaces, and the modulation process is a mapping of one space into the other. Using this representation, a number of results in communication theory are deduced concerning expansion and compression of bandwidth and the threshold effect. Formulas are found for the maximum rate of transmission of binary digits over a system when the signal is perturbed by various types of noise. Some of the properties of "ideal" systems which transmit this maximum rate are discussed. The equivalent number of binary digits per second of certain information sources is calculated.' . back

Turing, Alan, "On Computable Numbers, with an application to the Entscheidungsproblem", Proceedings of the London Mathematical Society, 2, 42, 12 November 1937, page 230-265. 'The "computable" numbers maybe described briefly as the real numbers whose expressions as a decimal are calculable by finite means. Although the subject of this paper is ostensibly the computable numbers, it is almost as easy to define and investigate computable functions of an integrable variable or a real or computable variable, computable predicates and so forth. The fundamental problems involved are, however, the same in each case, and I have chosen the computable numbers for explicit treatment as involving the least cumbrous technique. I hope shortly to give an account of the rewlations of the computable numbers, functions and so forth to one another. This will include a development of the theory of functions of a real variable expressed in terms of computable numbers. According to my definition, a number is computable if its decimal can be written down by a machine'. back

Links

Aquinas 113 Summa I, 18, 3: Is life properly attributed to God? Life is in the highest degree properly in God. In proof of which it must be considered that since a thing is said to live in so far as it operates of itself and not as moved by another, the more perfectly this power is found in anything, the more perfect is the life of that thing. . . . back

Aquinas 45 Whether this is a god definition of eternity, "The simultaneously-whole and perfect possession of interminable life". I answer that, As we attain to the knowledge of simple things by way of compound things, so must we reach to the knowledge of eternity by means of time, which is nothing but the numbering of movement by "before" and "after." For since succession occurs in every movement, and one part comes after another, the fact that we reckon before and after in movement, makes us apprehend time, which is nothing else but the measure of before and after in movement. Now in a thing bereft of movement, which is always the same, there is no before or after. As therefore the idea of time consists in the numbering of before and after in movement; so likewise in the apprehension of the uniformity of what is outside of movement, consists the idea of eternity. Further, those things are said to be measured by time which have a beginning and an end in time, because in everything which is moved there is a beginning, and there is an end. But as whatever is wholly immutable can have no succession, so it has no beginning, and no end. Thus eternity is known from two sources: first, because what is eternal is interminable--that is, has no beginning nor end (that is, no term either way); secondly, because eternity has no succession, being simultaneously whole. back