natural theology > VII notes

Notes

[Sunday 4 December 2011 - Saturday 10 December 2011]

[Notebook: DB 71 Israel]

[page 91]

Sunday 4 December 2011

Travelling = accessing memory

Monday 5 December 2011

Continuing with the Synopsis trying to tweak it closer to my current view of reality.

Everything we do is gardening and our whole technology consists in establishing juxtapositions (and disestablishing them). So we may say that space-time is the dynamic screen (interface) between us

[page 92]

The world runs on confidence, that is trust that the correspondent will respond appropriately, like paying a debt, delivering the goods, keep their promises etc. Trust is required when an event is not deterministic (fully controlled [variety reduced to zero]).

. . .

The question always arises: Is all this work worth it? Am I compromising the survival of myself and my descendants by giving so much time to a project that may ultimately prove unproductive, a business doomed to fail? Turing says some calculations do not terminate, but there is no way to tell in advance which ones.

Tuesday 6 December 2011

Wednesday 7 December 2011

Empirical residue = symmetry

At this moment, in my mind, the key connection is between the eigenfunctions of a quantum operator and computable functions.

Those who would pry into other people's affairs can to some extent constrain the software that is running in a computer by sampling the spectrum of the electromagnetic radiation that it emits and perhaps compare it to the spectra of software packages known to them.

[page 93]

ELEMENT = PACKAGE = POINT = VECTOR . . .

Hiassen: Amusing catalogues of Florida's vices, ie errors threatening its stability seen through the eyes of a long time working journalist. Hiaasen

Orgasm = insight, the state of creative bliss resulting from bringing something into being, occurs at all scales. With the creation we invariably expect some annihilation, so we can prevent creation by preventing annihilation, ie make things deterministic by avoiding all errors.

You grip my heart (or maybe me) with your tales of woe as well as the attraction you radiate. The coupling is based on the shared code of love. Love, like God, has a large number of stationary points which are gradually introduced to the measurement basis in the process of 'getting to know you'.

Quantum mechanics has no memory and therefore no concept of order, a fact reflected in the symmetry between basis states in a Hilbert space. At the quantum mechanical level all states are equiprobable. The symmetry is broken when space, memory and ordering appear.

Gödel numbers encode an ordered set into a cardinal number one transfinite (ie exponential) step beyond the cardinal of the relevant ordered set.

So quantum mechanics is a cardinal rather than an ordinal theory and the sheep we are counting are quanta of action, pure and simple, like sheep, quanta are conserved and their

[page 94]

cardinal in general is (< ?) ℵ₀. We may assign any natural number to the set of acts, and reorganize them as units with no form so that they are identical = symmetrical, a bit like prime matter, but also a bit like pure act. The set whose cardinal is 0 does not exist by definition. No action, no existence. Quantum mechanics deals with sets of cardinal 1, 2, 3, . . . < ℵ₀ Because these states have no personality, only existence, they are symmetrical (or effectively continuous) -- is this how we move the continuous symmetry theorems into the quantum (= digital) space? So all quantum interactions at this scale conform to simple arithmetic E₁ + E₂ = h(f₁ + f₂), perfectly linear as we expect the work of accountants to be when they deal in a unit called $ rather than h.

Can we boil Gödel down to the proposition that a small Gödel number cannot control a large Gödel number just as two acts cannot control three acts. The two acts may neutralize any two of the acts, but the third is still free.

Arithmetic is symmetrical with respect to the size of the number it deals with. Accounting is the same for both paupers and billionaires, although in real life there are nonlinearities (creative, annihilative) at both levels (all levels, strict arithmetic is waived by higher forces).

So arithmetic has the symmetry of a boson. It is indifferent to the energy (actions per second) in a state.

The vocabulary of mathematics begins with the natural numbers. These numbers are infinite because we can always

[page 95]

add the next one, but they are the lowest degree of infinity called countable. The numbers are symmetrical which is why inductive proof (and process) works.

At every point the world is completely intelligible, but that does not constrain the symmetry inherent in the point, its creative edge, the space into which it can evolve.

Fixed point a firm personality. Communist Party of China is not a fixed point, it has no corporate face or identity, it can do what it likes. McGregor

. . .

If it seems too good to be true it probably is. To the contrary is the long period of development that goes before each leap forward as many ideas are juggled until one comes to the top. This may be a sign of continuous real progress or ever better developed delusion, the judgement can only come when the creative dynamic is fossilized into a publication (message, stationary point). So over about the last 25 years these notes reflect my slow stagger toward the current position. On the road every little step counts, and small steps coalesce into big ones with connection and pruning, ie variation and selection.

A big thing now is to make certain that all this work has not been in vain by publishing and evangelizing.

The mathematical literature (written and oral) is the set of fixed points of the mathematical community.

The principal concern of a ruling power is to

[page 96]

control the external forum, the messages that people transmit to one another, so no killing, no bodily harm and so on. This control may be exercised either by policing the external forum of educating (propagandizing) the internal forum.

Mungello Leibniz and Confucianism: How should Christians approach China? To learn or to convert? Mungello

Thursday 8 December 2011

Kahneman page 11: Herbert Simon on expert intuition: 'The situation has provided a cue; this cue has given the expert access to the information stored in memory, and the information provides the answer. Intuition is nothing more and nothing less than recognition.' Kahneman

Arithmetic can all be built from addition and subtraction, the fusion and dissection of sets of units, ie the addition and subtraction of cardinal numbers. Arithmetic, like gravitation, is completely blind to the nature of the units to which it is applied, be they atoms or galaxies. All these things instantiate the formal expression 1 + 1 = 2.

Mungello page 36: 'In spite of Leibniz' disagreement on the origin of the Tartars, he was later to be generally sympathetic to the view, held by so many Jesuits, that ancient China did possess the True law, and that this was the basis on which the cultural accord between China and the West could best be

[page 97]

established.'

Not Christianity, humanity, much broader.

Friday 9 December 2011

Do I trust what I am saying? Yes. I have been skittering over the top of things for a long time, looking for breadth of vision rather than detail. But the devil is in the details and I am coming to them now, fitting the dream into the reality which means mapping the transfinite network to quantum field theory.

I believe in it because I believe there is salvation in bandwidth. The more clearly we see things the more sensibly we will act. Many people (the right, authoritarian wing) want to blur our vision, hide in secrecy.

There is no justification for secrecy. A higher layer, using a lower layer, must respect all the protocols of the lower layer if it wants maximum entropy. One maximises entropy by maximizing the entropy per symbol emitted, ie by making them equiprobable.

Saturday 10 December 2011

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty

You December copy this material freely provided only that you quote fairly and provide a link (or reference) to your source.

Christie, Agatha, Murder at the Vicarage, Dodd Mead 1986 Amnazon customer review: 'Murder at the Vicarage, first published in 1930, is the book that first introduced the world to Miss Jane Marple and the cozy English village of St. Mary Mead. Every mystery fan in the world is or should be familiar with Christie's classic character of Miss Marple. This book presents her at her best and is required reading for any mystery fan. The writing is sharp, the plotting crisp and clever, there are many red herrings and the solution is very satisfying. This is Christie at her very best. Highly recommended.' Lisa Bahrami
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de Jonge, Alex, Stalin: and the Shaping of the Soviet Union, William Morrow & Co 1986 Editorial review: From Library Journal: 'De Jonge has written a provocative biography of this major figure of Soviet history. He has drawn heavily upon emigre accounts and diplomatic reports; all the same his study is not free of superficialities. He sharply criticizes Stalin's rivals and his World War II allies, and he hides nothing of Stalin's savagery. Yet de Jonge's conclusions, sure to be challenged, are also clear: Russia could never have become a superpower without coercion (the national work ethic being what it is), and, in exercising that coercion, Stalin enjoyed support from every level of Soviet society. This biography will not replace Adam Ulam's Stalin: the man and his era (1973), but it is a useful, clear-eyed introduction for the general reader.' R.H. Johnston, History Dept., McMaster Univ., Hamilton, Ontario Copyright 1986 Reed Business Information, Inc.
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Hiaasen, Carl Hiaasen, Stormy Weather, Grand Central Publishing 1996 From Library Journal 'Take one devastating Florida hurricane, a New York couple on their honeymoon, a skull-juggling but sensitive guy, one former governor turned Everglades hermit, two small-time con artists, a corrupt building inspector, two state troopers, a hapless insurance agent, and what do you have? The recipe for Hiaasen's (Native Tongue, LJ 9/1/91) sixth novel, a delightful romp that is by turns hilarious and moving. These strange characters maneuver through a broken landscape as if born to it, and the author's control of both style and narrative keeps the novel from slipping into silliness. The crimes plotted are minor aspects of a fiction that explores the intersection of the grotesque and the human. Buy wherever good fiction is read.' A.J. Wright,
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Kahneman, Daniel, Thinking, Fast and Slow, Farrar, Straus and Giroux 2011 'Daniel Kahneman is among the most influential psychologists in history and certainly the most important psychologist alive today. He has a gift for uncovering remarkable features of the human mind, many of which have become textbook classics and part of the conventional wisdom. His work has reshaped social psychology, cognitive science, the study of reason and of happiness, and behavioral economics, a field that he and his collaborator Amos Tversky helped to launch. The appearance of Thinking, Fast and Slow is a major event.' —Steven Pinker
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Keynes, Randal, Annie's Box: Charles Darwin, his Daughter and Human Evolution, Riverhead Hardcover 2002 Editorial Reviews From Publishers Weekly 'In this intimate portrait of the great naturalist as devoted family man, Keynes describes how Charles Darwin's "life and his science were all of a piece." The great-great-grandson of the scientist, Keynes uses published documents as well as family papers and artifacts to show how Darwin's thinking on evolution was influenced by his deep attachment to his wife and children. In particular, his anguish over his 10-year-old daughter Annie's death sharpened his conviction that the operation of natural laws had nothing to do with divine intervention or morality. Keynes, also a descendant of economist John Maynard Keynes, shows that much of Darwin's intellectual struggle in writing On the Origin of Species and The Descent of Man arose from his efforts to understand the role of suffering and death in the natural order of the world. Early in his career, Darwin saw the indifference of natural law as an answer to the era's religious doubts about how a benevolent god could permit human misery; cruelty and pain, he argued, should not be seen as moral issues, but as inevitable outcomes of nature. After Annie's death, however, Darwin's views darkened, and in a private letter he railed against the "clumsy, wasteful, blundering low and horridly cruel works of nature!" Though Keynes doesn't break new ground about Darwin's life and work, he produces a moving tribute to a thinker who, despite intimate acquaintance with the pain inflicted by the "war of nature," could still marvel that, from this ruthless struggle, "endless forms most beautiful and most wonderful have been, and are being, evolved." ... ' Copyright 2001 Cahners Business Information, Inc.
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McGregor, Richard, The Party: The Secret World of China's Communist Rulers, Harper 2010 Amazon editorial review: From Publishers Weekly 'McGregor, a journalist at the Financial Times, begins his revelatory and scrupulously reported book with a provocative comparison between China™s Communist Party and the Vatican for their shared cultures of secrecy, pervasive influence, and impenetrability. The author pulls back the curtain on the Party to consider its influence over the industrial economy, military, and local governments. McGregor describes a system operating on a Leninist blueprint and deeply at odds with Western standards of management and transparency. Corruption and the tension between decentralization and national control are recurring themes--and are highlighted in the Party™s handling of the disturbing Sanlu case, in which thousands of babies were poisoned by contaminated milk powder. McGregor makes a clear and convincing case that the 1989 backlash against the Party, inexorable globalization, and technological innovations in communication have made it incumbent on the Party to evolve, and this smart, authoritative book provides valuable insight into how it has--and has not--met the challenge. ' Copyright © Reed Business Information, a division of Reed Elsevier Inc. All rights reserved.
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Milburn, Gerard J, The Feynman Processor : Quantum Entanglement and the Computing Revolution , Perseus Jacket: 'Starting with a clear and concise description of the basic principles of quantum physics, Milburn goes on to introduce some of its most amazing, newly discovered (sic) phenomena, including quantum entanglement, the strangest property of what is already the strangest field of science. Quantum entanglement - which Einstein called "spooky action at a distance" - underlies the interdimensional connections that join seemingly unrelated events and objects. He shows how conventional computers cannot go on getting smaller and faster forever and how the unpredictability of matter at this level has enabled scientists to rethink the way that we could design, build and use the new "quantum computers". Finally Milburn takes us into the near future, when physicists and computer scientists will build new and incredible devices that will deliver a world of lightning-fast computers, unbreakable codes, and even the beginning of Star-trek like matter teleportation.'
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Mungello, David E, Leibniz and Confucianism: The Search for ASccord, The University press of Hawaii 1977 Jacket: 'In the closing years of the seventeenth century, one of the mot brilliant of modern European philosophers became actively involved in the search for intellectual and spiritual accord between Europe and China. In his search, Gottfried Wilhelm Leibniz entered the "Rites Controversy" on the side of the Jesuits, who had achieved positions of remarkable proximity to the Chinese throne. Yet forty years later, the optimism of their cause dimmed. Leibniz died in isolation in Hanover, the papacy ruled against the Jesuits in Rome, and in China there was growing distrust of the Christian missionaries by the monarchy.
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Papers

Maddox, John, "Is biology now part of physics?", Nature, 306, 5941, 24 November 1983, page 311. "Reductionism is now almost a dirty word, especially in biology, but after 30 years of DNA it is high time that biologists paid attention to the question of what constitutes an explanation. back