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Notes

[Notebook: Transfinite field theory DB 56]

[Sunday 29 February 2004 - Saturday 6 March 2004]

Sunday 29 February 2004

[page 53]

Monday 1 March 2004

The idea that quantum mechanics, taken at the breadth of the wave function of the Universe, might be isomorphic to Lonergan's metaphysics, is taking root. Perhaps the first step in a (much belated) publishing program could be 'Is Lonergan's metaphysics isomorphic to quantum mechanics?' Given this isomorphism, a subsequent article must ask 'Does the quantum no-cloning theorem rule out Lonergan's empirical residue?' Lonergan pp 50 sqq.

Tuesday 2 March 2004

Money as a measure of power probably explains a large proportion of the variance in the outcomes of human lives.

[page 54]

Modern Jihad Loretta Napoleoni. Napoleoni.

Napoleoni page 46: 'Terror [is] no longer the exclusive domain of the superpowers and their close allies; it has become an autonomous business.

Armed groups finance themselves by working for various interests in the foundation society. Their existence points to rifts and stress in the social environment, in which they thrive. We wipe them out by adjusting the environment.

page 65: State characteristics:

1. monopoly on violence
2. territory
3. taxation
4. bureaucracy
5. sovereignty
6. constitutionality
7. law
8. impersonality
9. legitimacy of authority and citizenship.

Wednesday 3 March 2004

The key to the union of Hilbert spaces is that their size should grow exponentially with union, ie card(S1 X S2) card ( S1 + S2) !. If this is true then we are in total clover. We should be able to prove it by the permutation methods of constructing the Cantor Universe.

Napoleoni writes as though this terror financing is new, but it seems to me to be the age old habit of warlords to extort the funds for their warmaking from the victims of their activities. Our basic global problem is warlordism at all scales from the US government to school and domestic bullies.

Thursday 4 March 200

[page 55]

Friday 5 March 2004

To survive in a dynamic environment requires a mixture of prudent management and daring innovation.

We are going for the maximum entropy/minimum energy (most stable) configuration of human society. Democracy (and the empowerment of all in general to work in parallel) is a move toward increasing entropy.

So we think about the Gibbs free energy of a transfinite network. Frank L. Lambert.

Network theory gives us a fixed point in a dynamic Universe, a fixed point whose existence is predicted by Brouwer's fixed point theorem. Casti, chapter 2. I write this but feel strangely other. Much of the tension (and pleasure) in the world results from the interactions between human individuals and the system they are in. A fundamental requirement for a system is that all its subsystems work harmoniously in parallel. This is how the physical Universe seems to work.

Theory - computation - mind. The key to our survival is our ability to manipulate (compute) abstract models of the world in order to achieves guides to action more efficient that pure trial and error.

Saturday 6 March 2004

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty


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Further reading

Books

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Casti, John L, Five Golden Rules: Great Theories of 20th-Century Mathematics - and Why They Matter, John Wiley and Sons 1996 Preface: '[this book] is intended to tell the general reader about mathematics by showcasing five of the finest achievements of the mathematician's art in this [20th] century.' p ix. Treats the Minimax theorem (game theory), the Brouwer Fixed-Point theorem (topology), Morse's theorem (singularity theory), the Halting theorem (theory of computation) and the Simplex method (optimisation theory). 
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Kolmogorov, A N , and Nathan Morrison (Translator) (With an added bibliography by A T Bharucha-Reid), Foundations of the Theory of Probability, Chelsea 1956 Preface: 'The purpose of this monograph is to give an axiomatic foundation for the theory of probability. ... This task would have been a rather hopeless one before the introduction of Lebesgue's theories of measure and integration. However, after Lebesgue's publication of his investigations, the analogies between measure of a set and mathematical expectation of a random variable became apparent. These analogies allowed of further extensions; thus, for example, various properties of independent random variables were seen to be incomplete analogy with the corresponding properties of orthogonal functions ... ' 
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Lonergan, Bernard J F, Insight : A Study of Human Understanding (Collected Works of Bernard Lonergan : Volume 3), University of Toronto Press 1992 '... Bernard Lonergan's masterwork. Its aim is nothing less than insight into insight itself, an understanding of understanding' 
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Napoleoni, Loretta, Modern Jihad: tracing the Dollars Behind the Terror Networks, Pluto Press 2003 Editorial Review from Publishers Weekly: 'No punches are pulled in this alarming study of a $1.5-trillion terrorist economy that is as integral a part of the Western economy as banking or big oil. So compelling is Italian economist and journalist Napoleoni's indictment of the West for the creation and sustenance of international terrorism that she believes this is the reason publication was nixed by her commissioning publisher's board of directors. Napoleoni traces 50 years of Western economic and political dominance in developing Muslim countries backing repressive, corrupt regimes, fighting the Cold War by proxy and blocking the legitimate economic ascendancy of millions. "As in the Crusades," in which Napoleoni finds many modern parallels, "religion is simply a recruitment tool; the real driving force is economics." The only way those left behind by globalization can afford to fight back, the author says, is with the proceeds of crime, drugs, arms, prostitution, gems, smuggling, even slavery, all fueled by the West's addictions and other "poisonous dependencies" and laundered and reinvested by the West's own financial industry. Interviews with former terrorists, intelligence officials and world-class economists enliven this thoughtful and informed analysis, but evidence of the FBI and CIA being prevented by the Clinton and Bush administrations from fully investigating the real (Saudi) sources of Islamist terrorism and of the real motives for the campaigns in Afghanistan and Iraq could create a political firestorm here and abroad.' Copyright 2003 Reed Business Information, Inc. 
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Links
Frank L Lambert Entropy and Gibbs free energy 'This page is for students who have wrestled with some problems involving the Gibbs equation, DG = DH - TDS, and think that the DH in it has nothing to do with entropy.' back

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