Notes

[Notebook: Language DB 57 ]

[Sunday 26 September 2004 - Saturday 25 September 2004]

[page 6]

Sunday 26 September 2004

Degrees of control 0 -> 1; 0: like praying for rain (spurious or deluded control supported by chance

[page 7]

fluctuations and coincidence); 1: like precise industrially controlled manufacturing process to the functioning of a computer chip[ or an error proof communication channel. channel = [physical link, code]

Error has a cost and the correction of error has a cost. How do we minimize costs? We cannot do this without considering the meaning of the information under consideration. We should be prepared to spend trillions to make certain that the bit of information that sets off a full scale nuclear war does not change state without careful consideration. On the other hand we are not going to be worried about a few bits wrong in an image file which already contains a certain amount of noise.

Minimum action and the treadmill of consumption. How do we get off. Consume less for the same (or nearly) level of satisfaction.,

Agatha: The Clocks page 204: 'To be sure means that when the right solution is reached, everything falls into place. You perceive that in no other way could things have happened.' Christie Ie the wave function is constrained by physical events.

page 2 'I think you are wise. You haven't got at it takes for this job like Rosemary's father. He couldn't understand Lenin's dictum: 'Away with softness'

I thought of Hercule Poirot's words:

'I am content', I said, 'to be human'.'

The Celestine Prophecy: almost everyone who comes

[page 8]

with a new religion comes up with an ancient wise prophet manuscript. Redfield

IRAQ - From dictatorship to chaos (symmetry). Now will the symmetry break into order, and what will be the order, .. on the scale from chaos to anarchy. These may not be the same.

CHAOS: all possible events have equal probability.

ANARCHY (= PEER GROUP) probabilities are manipulated by a network of communication in which all parties are PEERS

DICTATORSHIP The dictator is the sole peer and all the other biologically peer parties are assigned to a group of non-peers, deprived of their rightful political influence in the peerage.

The market represents the integrated insight of all its participants, rather like the dot.product, (integral of a product).

Monday 27 September 2004

Tuesday 28 September 2004

Wednesday 29 September 2004

Thursday 30 September 2004

Friday 1 October 2004

Saturday 2 October 2004

What we are trying to do these days is make the connection (mapping) between function space and linguistic space, so that we can look at quantum

[page 9]

mechanics in the light of language.

This problem seems related to the problem of mapping the ordered set (permutation) approach to generating the cardinal numbers of the hierarchy of reals to the cardinal of the natural numbers. The link is through cardinal numbers. Given a set of permutations with a certain cardinal, we can establish a 'natural' order of these permutations using a dictionary technique, putting all those permutations with the number n at a certain point in the order ahead of those which have n+1 at the same point, and so on. Although it is customary to make some sort of absolute distinction between discrete and continuous Cantor's construction shows that this distinction is relative and is a matter of resolution. We 'resolve' the naturals among the reals in the same way as information shows us how to 'resolve' the actual sequence of symbols emitted by a source among all possible sequences that cold have been emitted by that source, even in the presence of noise.

Resolve symbols.mappings/meanings. Resolution requires entropy ie headroom, a set of states. The permutation construction gives an ordered sequence of sets of states in which to discuss these matters in an abstract mathematical way that finds application in all sorts of physical ways.

So the full abstract power of mathematics us available at every point but is concretely realized in a different way at each point in the Universe. Our fundamental tautology: points are not distinct unless they can be distinguished.

[page 10]

Points are identified by meaning. The recipient of a message on receipt of a symbol, measures its distance from each prearranged acceptable symbol and decides that the received symbol represents the one to which it is closest. The measuring process may be said to assign meaning to the received symbol, so that we can say that the discrimination of messages is not possible without meaning. Although the theory of communication abstracts form the meanings of the various symbols to their final user, it is nevertheless concerned with establishing which possible message in its space of messages is meant by each symbol that it receives. In the presence of noise we use excess entropy to move the acceptable symbols further apart in the space of possible symbols in order to reduce the possibility of error in the meaning extraction process. All his is quite simple to express in the mathematical theory and shows us how meaning is communicated up and down the hierarchy from physical to user layers (peer levels).

Minimum social inhibition = maximum social entropy = maximum stability,

When I am good I am very very good but when I am bad I am better (T Shirt)

How does a mathematics book embody mathematics? Is it any different form the way other parts of the world embody mathematics?

Distinction is of the essence of communication. Each

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letter and word in this communication has a (relatively, given poor handwriting) distinct form. The essence of coding is to give ordering (meaning) to sets of symbols so that their veracity (ie correspondence with sender) can be checked.

Physical space is the broken degeneracy of events taking place at the same time. We imagine the geometric line as a time-line. Evolution (epitomized by the Cantor Universe) reveals transfinite complexity in this time line which can be mapped onto 3-surfaces of constant time, upon which stage we live, 3+1D spacetime. The same metric applies to space and time (ie proper distance is a mixture of space and time), ie it does not distinguish between them. What is held constant is the energy or rate of development of any closed (to energy) system.

Superposition occurs 'outside' space and so does not break this degeneracy. The only way we can see a superposition is by repeatedly observing systems prepared in the same way.

In mathematics we represent all numbers digitally since transfinite numbers cannot be physically realized (eg as heaps of pebbles) we can only point to them by demonstrating an algorithm to generate them. Cantor's theorem is an algorithm to generate the Universe.

A norm is a sum or integral.

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty

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Copyright:

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Further reading

Books

Click on the "Amazon" link below each book entry to see details of a book (and possibly buy it!)

Christie, Agatha, The Clocks, HarperCollins Publishers Canada 1988 Amazon costomer review: 'The first time I read this novel, I had to reread it again. Why? So many questions still linger at the end of the story even though the pages has ended. I wondered and reread and after the third reading, I finally got it all. The Clocks is a story that has two main plots, and the one has absolutely nothing to do with the other. But they were connected in a way when a young typist finds a dead body in a livingroom of a blind woman. From there it's red herring all the way. But bits of real clues emerge when Mr Lamb (a fake name) talks to a girl with a broken leg. Poirot only comes in now and then but became more interested when another murder occurs, while Lamb becomes Poirot's legs, ears and eyes. Oh yes, there are clues aplenty, but a broken high heel has never been this important as a clue. Christie delivers this story with delightful take that neither too wordy nor too lengthy. This is another often neglected classic Christie, so get it. madonluv  Amazon   back

Graves , Robert, Goodbye to All That, Penguin Classics 2000 Amazon Product Description 'In 1929 Robert Graves went to live abroad permanently, vowing 'never to make England my home again'. This is his superb account of his life up until that 'bitter leave-taking': from his childhood and desperately unhappy school days at Charterhouse, to his time serving as a young officer in the First World War that was to haunt him throughout his life. It also contains memorable encounters with fellow writers and poets, including Siegfried Sassoon and Thomas Hardy, and covers his increasingly unhappy marriage to Nancy Nicholson. "Goodbye to All That", with its vivid, harrowing descriptions of the Western Front, is a classic war document, and also has immense value as one of the most candid self-portraits of an artist ever written.'  Amazon   back

Jaynes, Julian, The Origin of Consciousness in the Breakdown of the Bicameral Mind, Mariner Books 2000 Jacket: 'At the heart of this book is the revolutionary idea that human consciousness did not begin far back in animal evolution but is a learned process brought into being out of an earlier hallucinatory mentality by cataclysm and catastrophe only 3000 years ago and still developing.'  Amazon   back

Order of Preachers, Antiphonarium Ordinis Praedicatorum volume 1 Psalter, St Elias Press 2008   Amazon   back

Redfield, James, The Celestine Prophecy, Warner Books 1995 Amazon from Publishers Weekly: 'Redfield's debut is a fast-paced adventure in New Age territory that plays like a cross between Raiders of the Lost Ark and Moses's trek up Mt. Sinai.'  Amazon   back

Seymour-Smith, Martin, Robert Graves: His Life and Work, Bloomsbury Publishing PLC 1995 Introduction: 'Robert graves is unique in English letters: in his paradoxical versatility -- as brilliantly successful popular historical novelist, eccentric but erudite mythographer, translator, pungent and outspoken critic, and as arrogant poet oblivious to pubic opinion -- and in his lifelong refusal to conform. It is of course as a poet that he will be chiefly remembered, and by general readers as well as by critics, who are certain to accord him major status (a phrase he hates). But he will be remembered too as a man, as a personality and perhaps as a kind of prophet of 'the Return of the Goddess'.'  Amazon   back

Zee, Anthony, Quantum Field Theory in a Nutshell, Princeton University Press 2003 Amazon book description: 'An esteemed researcher and acclaimed popular author takes up the challenge of providing a clear, relatively brief, and fully up-to-date introduction to one of the most vital but notoriously difficult subjects in theoretical physics. A quantum field theory text for the twenty-first century, this book makes the essential tool of modern theoretical physics available to any student who has completed a course on quantum mechanics and is eager to go on. Quantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics. These days, physicists turn to quantum field theory to describe a multitude of phenomena. Stressing critical ideas and insights, Zee uses numerous examples to lead students to a true conceptual understanding of quantum field theory--what it means and what it can do. He covers an unusually diverse range of topics, including various contemporary developments,while guiding readers through thoughtfully designed problems. In contrast to previous texts, Zee incorporates gravity from the outset and discusses the innovative use of quantum field theory in modern condensed matter theory. Without a solid understanding of quantum field theory, no student can claim to have mastered contemporary theoretical physics. Offering a remarkably accessible conceptual introduction, this text will be widely welcomed and used.   Amazon   back

Links

Nyquist-Shannon sampling theorem - Wikipedia Nyquist-Shannon sampling theorem - Wikipedia, the free encyclopedia 'TThe Nyquist–Shannon sampling theorem, named after Harry Nyquist and Claude Shannon, is a fundamental result in the field of information theory, in particular telecommunications and signal processing. Sampling is the process of converting a signal (for example, a function of continuous time or space) into a numeric sequence (a function of discrete time or space). Shannon's version of the theorem states: If a function x(t) contains no frequencies higher than B hertz, it is completely determined by giving its ordinates at a series of points spaced 1/(2B) seconds apart.' back