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2001
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... to restore theology to the mainstream of science
[Notebook TTC, DB 54]
[Sunday 1 July 2001 - Saturday 7 July 2001]
[page 81]
Sunday 1 July 2001
Monday 2 July 2001
Religion is closely related to education; in the new religion the place occupied by the Greek and Roman classics is taken over by mathematics. It is clear to any reader that much of the classical literature is already mathematically inspired (consider the line from Pythagoras through Plato to the founding authors of Christianity)
A broad view of History. Knox Let Dons Delight. Knox
Verbum State - A state is a description of itself (it can execute itself).
Lonergan, Verbum. Lonergan.
OPERATOR = INTELLECT
Implicit in this assumption is the notion that intelligence operates at all scales in the universe. Intelligence, we might say, is the faculty of encoding and decoding
[page 81]
messages, and operates as surely among atoms, shaping their internal states by exchanging photons as among people sharing internal states by sharing texts (ordered sets of symbols) such as this page.
Tuesday 3 July 2001
Wednesday 4 July 2001
The key concept of religion is warmth, the thermodynamic equivalent of love.
Warmth and IMAGINATION
'Real' vs 'imaginary' numbers. Imaginary numbers are operators, agents of change rather than what is changed. What is changed may be another operator (imaginary number) or a real number. An operator operating on its conjugate delivers a real number.
WARMTH stimulates IMAGINATION and imagination GUIDES WARMTH. Holy Fox
[page 82]
(Irwin). James, p 530.
Evolution has a ratcheting mechanism because systems which are 'manifestly more efficient' (ie use less action to maintain themselves) will tend to sequester resources from those less efficient, so that the probability of the more efficient is on the average higher than that of the less. While fluctuations obey some sort of power law, evolution by multiplication of the fitter is exponential, and so will prevail in the end.
'Facing the inevitable' James, fig 17, facing p 531.
Red and blue as colours on the political spectrum. This is people behaving as bosons (representative of late 19th century India?). When we become fermions, we rise above natural number states 'containing' a natural number of particles (ie with energy = mass of n particles) and move into transfinite (structured) states which may be represented as eigenvalues of a certain wavefunction (operator equation).
[page 83]
Running a belt can be represented by operator equations with certain symmetries (ie conserving belt length and therefore velocity at every point). (One may also have a belt that conserves mass but not length.
The antipope is an operator like the pope is an operator, one the inverse of the other, related by a conservation law, the conservation of action = energy.time. Same thing can be done quickly or slowly, with the same amount of action, ie the distance to equilibrium based on action is constant. We pay by the hour when we assume that the rates of action of each agent (worker) are the same, so that dollars per hour is a proxy for dollars per action.
Thursday 5 July 2001
Friday 6 July 2001
Symmetry breaking (evolution) = symmetry forming (knowledge, diagonalization) -1.
[page 84]
Lonergan wheel and circle - there are an infinity of insights into a wheel and their superposition in the real wheel. Lonergan, Insight p 31.
Am currently setting out to use L's version of Thos' version of Aristotle's version ... of insight as the motivation of a set theoretical (and algebraic) version of Lonergan's insight into insight. The structure so built will (I think) turn out to be isomorphic to quantum mechanics and so add weight to my suspicion that contrary to Lonergan's position, the universe is completely intelligent and intelligible and that ipsum intelligere = actus = action occurs at every scale in the universe.
METAPHYSICS = NETWORK THEORY (general heuristic structure).
ie the theory of networks of Turing machines able to interrupt one another and change one another's internal states.
Communication = correlated changes in internal state.
[page 85]
Every photon gives its life to communicate whereas more complex systems can both communicate and retain their identity.
Transfinite network of Turing machines forms a shell for the whole of mathematics, and so for the universe (where the 'shell' creates itself.)
Mutual control: COMPLEX (cunning) - SIMPLE (energetic).
Saturday 7 July 2001
Schopenhauer, The world as Will and Representation. Schopenhauer.
Translator's intro, p vi:
'Schopenhauer himself has stated that his philosophy is the natural continuation and completion of the Kantian, for he has taken as the foundation of his own system of thought the identity of space and time and the Kantian thing-in-itself, as expounded in the Critique of Pure Reason'
[page 86]
Replace space and time by computer network (the metaphysical heuristic structure) and we have the quantum mechanical completion of Kant.
<!--I wish to apply for a Rolex award on the grounds that knocking the bottom brick (keystone) out from under the RCC (and all similar monarchies = arbitrary and authoritarian regimes), as it is currently conceived by its present government) is tantamount to climbing Everest alone without oxygen an so is in the general class of activities that garner such awards. -->
My argument against monarchy arises from the cybernetic principle of requisite variety (Ground for Concern, chapter 6, p 159) Elliott. Chaitin's principle [if a theorem contains more information than a given set of axioms, then it is impossible for the theorem to be proved from the axioms]. Chaitin p 55.
From a phenomenal point of view the only difference between an act of insight and a quantum measurement is a difference in scale, the scale
[page 87]
being entropy or complexity expressed either as a number or the logarithm of a number (which is itself a number).
One difference that comes with scale is that we are to some degree conscious of our own insights, and so we can see the process of insight from the inside, as it were, and so perhaps gain further insight into insight on other scales.
Both insight and measurement are acts of decoding or translation. We begin with qm because the formalism is well established, and then expand our view from the quantum scale to all scales.
Books
| Chaitin, Gregory J, Information, Randomness & Incompleteness: Papers on Algorithmic Information Theory, World Scientific 1987 Jacket: 'Algorithmic information theory is a branch of computational complexity theory concerned with the size of computer programs rather than with their running time. ... The theory combines features of probability theory, information theory, statistical mechanics and thermodynamics, and recursive function or computability theory. ... [A] major application of algorithmic information theory has been the dramatic new light it throws on Goedel's famous incompleteness theorem and on the limitations of the axiomatic method. ...' Amazon back |
| Elliott, Mary, and (Foreword by Paul Ehrlich), Ground for Concern, Penguin Books 1977 Preface: 'This book is neither a political manifesto nor a textbook on nuclear power. It is a reasoned statement of the concern that Australians, and people throughout the world, feel about the prospects of a nuclear future. The authors have tries to grapple honestly wth the problems of the atomic age, which is our age. They have tried to speak about complex maters in plain language.' Amazon back |
| James, Lawrence , Raj: The Making and Unmaking of British India, The Softback preview 1998 Jacket: 'The Raj ... was always precarious. Its masters knew that it rested ultimately on the goodwill of the Indians, which was why pressure for self government was met with a mixture of compromise and sternness. The twists and turns of the struggle for independence are told with a wealth of fresh material. ' Amazon back |
| Knox, Ronald, Let Dons Delight: Being Variations on a Theme in an Oxford Common Room, Sheed and Ward 1958 Jacket: When Mgr. Knox died, many of his panegyrists singled this book out as the best of its kind he ever wrote - which in this case is saying much. Certainy, he alone could have done it. To create eight sets of Simon Magus dons, from 1588 to 1938, conversing and arguing with eachother each in the very voice of his age and in terms of the topics of his day - for that you really have to know your Oxford, your dons, your history, classics and English literature.'back |
| Lonergan, Bernard J F, Verbum : Word and Idea in Aquinas (Collected Works of Bernard Lonergan volume 2) , University of Toronto Press 1997 Jacket: 'Verbum is a product of Lonergan's eleven years of study of the thought of Thomas Aquinas. The work is considered by many to be a breakthrough in the history of Lonergan's theology ... . Here he interprets aspects in the writing of Aquinas relevant to trinitarian theory and, as in most of Lonergan's work, one of the principal aims is to assist the reader in the search to understand the workings of the human mind.' Amazon back |
| Schopenhauer, Arthur, The World as Will and Representation (Volume 1) (translated by E F J Payne), Dover 1969 Jacket: 'Arthur Schopenhauer's Die Welt als Wille und Vorstellung is one of the most important philosophical works of the 19th century, the basic statement of one important stream of post-Kantian thought. It is without question Schopenhauer's greatest work, and, conceived and published before the philosopher was 30, and expanded 25 years later, it is the summation of a lifetime of thought. Amazon back |
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