vol VII: Notes
2019
Notes
Sunday 21 April 2019 - Saturday 27 April 2019
[Notebook: DB 83: Physical Theology]
[page 187]
Sunday 21 April 2019
Evolution = generation of meaning [creation]. We start with the equivalent of a empty set ∅, something with no content. Now we want to get from this, which is equivalent to the tradition [completely simple] God [to the universe we inhabit]. We know that the universe is at least as big as a sphere of 14 x 109 light years radius and its matter content is in the region of 10 hydrogen atoms per cubic metre. A simple calculation suggests that it is a dynamic system operating at . . . 1088 actions per second . . . [for a total of] 5 x 10105 quanta of action since the beginning. The question is how this is enormous bandwidth generated and what does it mean?
The answer, in the broadest sense, is evolution. We will [eventually] go into detail but here we want to suggest the general process, which has already been suggested by the Christian doctrine of the Trinity, is basically a matter of self reflection and copying in the network structure. We know the universe is constructed from fundamental particles, and these particles all fall into one of two classes, fermions and bosons. From a network communication point of view fermions are sources and bosons are communication links [messages].
Monday 22 April
On the way to see Pam, a thought, very real to me. The flywheel is an essential component of an internal combustion engine, carrying it through the compression stroke from the previous power stroke, carrying it over the unproductive period of capital investment. . . . the dimensions of the
[page 211]
quantum of action are angular momentum, and [the flywheel seems to suggest] how the quantum uses this momentum to break through energy barriers which are classically insurmountable, although as soon as we introduce the flywheel mechanism of the IC engine we see that tunnelling is no fancy quantum special feature but a perfectly classical way of dealing with a process that needs investment before it can yield a profit. Quite an eye-opener for me this, but soon will die down and it will subside into the general story of the creation of the divine world.
A symmetry is a process which can be represented by a Turing machine. So we see the simplest symmetry is act.
Momentum is the dynamic structure coupled to formal space and is effect capital that we can be used like a flywheel to carry a system through a lean period to the next productive period.
Thoughts are real physical things deeply encoded in the structure of the mind. So we can say evolution is a thought process, God thinking and discovering new things.
Nyquist theorem says we can digitize a continuous function by sampling it at twice its maximum frequency. Nyquist-Shannon sampling theorem - Wikipedia
Bury my heart at Wounded Knee Bury My Heart at Wounded Knee - Wikipedia
Yves Simoneau: Bury My Heart at Wounded Knee (film)
Bury My Heart at Wounded Knee (film) - Wikipedia
Atanarjuat: The Fast Runner - Wikipedia
[page 212]
Tuesday 23 April 2019
We are trying to build a transfinite Hilbert space as a domain for the universe. What we want to see is particles [at all scales] meeting one another as part of the universal quantum network, which we break down to a set of coupled atoms of communication, each fermion in the atom involved in a large number of interactions [which are the edges of the network seen as a graph]. We work from the local to the general. Each of these atoms may exist at any level of complexity from interactions between fundamental particles to people to clusters of galaxies. Armen H. Zemanian: Transfiniteness for Graphs, Electrical Newtorks and Random Walks
Wednesday 24 April 2019
How do we hook transfinite numbers onto Hilbert space? First we associate rays [axes, base states] in Hilbert space with computers and establish a one-to-one correspondence between dimensions in Hilbert space and orthogonal computations or algorithms. This enables a one to one correspondence between the dimensions and the natural numbers, giving us a Hilbert whose cardinal we can call ℵ0. We then apply permutation to get a function space of the natural numbers onto themselves, whose cardinal is ℵ1. From the point of view of ℵ1 ℵ0 has measure zero, so we can imagine the ℵ1 Hilbert space as orthogonal to the whole ℵ0 space. We can go on in this way with no upper bound, as Cantor has shown. The system may look exceedingly big to model the universe which looks relatively discrete and finite from a local point of view. There are a number of ways to deal with this.
The first arises from the distinction between 'platonic' snd 'machine' infinity which enables us to set ℵ0 to 2 or any other
[page 213]
finite number without affecting the logic of Cantor's proof. The second is the effect of natural selection which picks out dynamic structures which are 'self-bootstrapping', able to reproduce and propagate themselves. Even though such systems may be exceedingly improbable from a random variation point of view, the vast transfinite numbers almost guarantee their realization, and their realization greatly reduces the resources available for other possibilities by reproductively sequestering resources. Further, although this system is very large it is constructed of 'atoms' of communication which we intuitively understand, since we are born communicators.
. . . We want to argue that the universe is the mind of God. Tis argument has three steps: 1: that the universe is a network; 2: that network are the foundation of mind; and 3: that the universe is self-sufficient.
Feynman 1995, 2003: Gravitation: Hatfield page xxxiii: 'The charge associated with gravitation is mass, which we expect from special relativity to be equivalent to energy. Since everything that we know about has energy, it appears that gravity should couple to everything. The particle that mediates the gravitational force is called the graviton. Since a graviton has energy, gravitons can directly interact with each other.' This seems all wrong and I like the geometrical version better, remembering that energy-momentum behave like geometry (Feynman 1997 page 105). Feynman: Feynman Lectures on Gravitation, Feynman: Six Not So Easy Pieces
Thursday 25 April 2019
We are equating intelligent design with evolution by natural selection and proposing that random processes occasionally come up with systems that are consistent enough to maintain their own existence in the face of error, that is reproduce [retry]. We think that the development of the brain may work the same way, large numbers of random connections, ie
[page 214]
random processes being pruned by the elimination of those that don't turn out to be consistent with the system [just like a university, excluding the failures]. Now I am thinking of a similar mechanism to explain insight, when an idea propagates to a sufficient number of connections it becomes conscious, like this idea has done, and we are beginning to see more clearly how intelligence is a natural feature of networks, trying everything and every now and then coming up with a breakthrough, an insight whose consequences in the wider world may be good or bad, like the insight that led to the construction of nuclear weapons [or the wheel]. Maybe this ideas has some connection to scepticism, stress testing intellectual products to see whether they are a good safe investment. Jesse J. Prinz: Is Attention Necessary and Sufficient for Consciousness?
'As the old reporter told me on my first day "Its all one story, kid, its all one big story".' Manhattan Night - Wikipedia
We can begin with a very simple machine. We input one, it operates and halts, outputting zero. We can couple this to another almost identical machine [using the same algorithm ('not')]. We inout 0 (coming perhaps from the previous machine) and it operates and halts, outputting 1. These two machines, operating sequentially have effectively done nothing yet we can think of an endless string of them as a clock, going tick-tock or as an infinite wave train. The Nyquist-Shannon theorem tells us that the two machines can reproduce a wave, in effect 'sampling' it at twice its frequency, and one complex cycle is equivalent to one quantum of action, given the Planck-Einstein relation E=hf. Nyquist-Shannon sampling theorem - Wikipedia
We can imagine more complex ways of doing nothing, constructing machines that input one binary number and output another
[page 215]
connected to another machine so that the output of the first becomes the input of the second whose output is identical to the input of the first, a simple codec. So where does this idea lead? At present it is just another brick for a wall yet to be built, but maybe it can serve as a digital model of the superposition of many frequencies, each corresponding to a sequence of not operations by which this last machine remains linear and lossless as it does its work. Codec - Wikipedia
Feynman 1995 page 9: Total gravitational energy of all the particles in the universe is something like GMM/R where R = Tc where T is the Hubble time. If we compare this to the total rest energy of the universe we find that GM2/R = Mc2 so the total energy of the universe is zero. Does not make a lot of sense, but I love it. Zero-energy universe - Wikipedia
Friday 26 April 2019
Feynman 1995 page 13: 'The traditional description of the total quantum mechanics of the world by a complete Monster Wavefunction (which includes all observers) obeying a Schrödinger squation
i∂Ψ/∂t = HΨ
implies an incredibly complex infinity of amplitudes [given Ψ a vector in a transfinite dimensional Hilbert Space].
Saturday 27 April 2019
Struggling to think the killer thought. From an ancient point of view the principal objection to making the universe divine is space-time, since
[page 216]
the ancient god is considered to be outside space and time. Another way of expressing this is that the divinity is absolutely simple [and it is assumed that space-time is complex, full of stuff]. The generic cure for this problem is fixed point theory, which basically tells us that it would be inconsistent for there not to be an answer. The next step may be based on the idea that quantum mechanics is the theory of everything and we can find fixed points in quantum mechanics which arise from observation which we can, in the traditional world, think of the Father mapping itself onto itself to yield the Son. This too seems good. Next we observe from the Minkowski metric that space and time seem to be inverses of one another, so that they can be seen as emergent from some prior unitary system [time being the dynamic aspect, space being the kinematic aspect]. What we need, therefore, is a link between quantum mechanics and Minkowski space which we can guess to be something to do with the emergence of energy-momentum from energy. How does this work? Always we need to find an explanatory mechanism which can be expressed in symbols that is written down as a step forward from Feynman's Monster wavefunction. We might see the clue in Feynman's three rules of quantum theory:
1: P = probability, φ = probability amplitude. P = |φ|2;
2: When an event can occur in several different ways, the probability amplitude of the event is the sum of the amplitudes for each way considered separately, there is interference φ = φ1 + φ2, P = |φ1 + φ2|2;
3. When it is possible to see which path is actually taken, P = P1 + P2.
So the ancient conundrum: observability determines what happens. Feynman, Leighton & Sands FLP III:01: Quantum Behaviour
Symmetry: an invisible action. Feynman, Leighton & Sands FLP I:52: Symmetry in Physical Laws
We take the fundamental symmetry to be conservation of angular momentum, so physical laws are unchanged if the phase of
[page 217]
the wave function is shifted by an arbitrary constant (since the superposition is unchanged φ' = φeiΔ, |φ|2 = |φ'|2.
'The conservation law which is connected with the quantum mechanical phase seems to be the conservation of electrical charge'. Here we have a connection to the velocity of light and the structure of space-time, but what? What did Feynman know? Charge conservation - Wikipedia
Why does the absolute square of the probability amplitude give a probability? Because the invisibility theorem assumes that quantum processes can only do one thing at a time, so they are time division multiplexed (because they are one dimensional 'field' theories) (Zee page 18) and communicating is a process just like any other, so a system has to stop whatever it is doing to process the message that tells us what it is doing, but what it is doing then is communicating and it has to stop that to communicate, setting up an infinite regress that says that it basically has to stop everything to communicate.So the dynamic motion described by evolution of probability amplitude must remain hidden when an observer demands a readout on what it is doing, and the system yields the solution to the wave equation that it was working on when this interruption [observation] came. Zee: Quantum Field Theory in a Nutshell
No agent can concentrate on doing two things at once: eg fighting.
Let us say that potential is the fixed point of the action mapping onto itself, so the Son is the potential corresponding to the actual Father.
We continue to suck physics out of the Trinity.
[page 218]
Mathematics is very handy in physics, but it has to be applied, and the application must usually be described with the full power of natural language. It it is not possible to write a physics article in pure mathematics. There have to be descriptive passages between the mathematical passages describing what the symbols mean and why we are performing such and such operations on the quantities represented. A similar situation applies when we are giving a logical explanation of a physical processes, describing the use of the symbols and the logical operators.
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Further readingBooks
Click on the "Amazon" link below each book entry to see details of a book (and possibly buy it!)
Abelard, Peter, and Helois. William Levitan (editor), , Hackett Publishing 2007 Amazon book description: 'The most comprehensive compilation of the works of Abelard and Heloise ever presented in a single volume in English, The Letters and Other Writings features an accurate and stylistically faithful new translation of both The Calamities of Peter Abelard and the remarkable letters it sparked between the ill-fated twelfth-century philosopher and his brilliant former student and lover -- an exchange whose intellectual passion, formal virtuosity, and psychological drama distinguish it as one of the most extraordinary correspondences in European history. Thanks to this edition, Latin-less readers will be better placed than ever to see why this undisputed milestone in the intellectual life of medieval France is also a masterpiece of Western literature.'
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Agarwal, Ravi P., and Maria Meehan, Donal O'Regan, Fixed Point Theory and Applications, Cambridge University Press 2009 'This book provides a clear exposition of the flourishing field of fixed point theory. Starting form the basics of Banach's contraction theorem, most main results and techniques are ceveloped. . . . The theory is applied to many areas of current interest in analysis. . . . '
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Cantor, Georg, Contributions to the Founding of the Theory of Transfinite Numbers (Translated, with Introduction and Notes by Philip E B Jourdain), Dover 1895, 1897, 1955 Jacket: 'One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc, as well as the entire field of modern logic.'
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Collins, Paul, Papal Power: A Proposal for Change in the Catholicism's Third Millennium, HarperCollinsReligious 1997 Jacket: 'The papacy of the Roman Catholic Church is the world's oldest continuous institution. Paul Collins, historian and inveterate Vatican watcher, has looked beyond the details of this astonishing parade of over 260 popes to uncover the dynamics of papal power. . . . He traces the developments in theory and reality that have led to a modern papacy that exercises virtually sole and total rule over the world's largest religious community. Collins' provocative . . . study proposes a new model in the Catholic Church as it enters its third millennium - one that would allow all Catholics to participate in the work and decision-making of the Church.'
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Denzinger, Henricus, and Adolphus Schoenmetzer, Enchiridion Symbolorum, Definitionum et Declarationum de Rebus Fidei et Morum, Herder 1963 Introduction: 'Dubium non est quin praeter s. Scripturam cuique theologo summe desiderandus sit etiam liber manualis quo contineantur edicta Magisterii ecclesiastici eaque saltem maioris momenti, et quo ope variorim indicum quaerenti aperiantur eorum materiae.' (3)
'There is no doubt that in addition to holy Scripture, every theologian also needs a handbook which contains at least the more important edicts of the Magisterium of the Church, indexed in a way which makes them easy to find.' back |
Feynman, Richard Phillips, and Gerry Neugebauer (Preface), Roger Penrose (Introduction), Six Not-So-Easy Pieces: Einstein's Relativity, Symmetry and Space-Time, Perseus Press 1998 ' No single breakthrough in twentieth-century physics (with the possible exception of quantum mechanics) changed our view of the world more than that of Einstein's discovery of relativity. The notions that the flow of time is not a constant, that the mass of an object depends on its velocity, and that the speed of light is a constant no matter what the motion of the observer, at first seemed shocking to scientists and laymen alike. But, as Feynman shows so clearly and so entertainingly in the lectures chosen for this volume, these crazy notions are no mere dry principles of physics, but are things of beauty and elegance. No one - not even Einstein himself - explained these difficult, anti-intuitive concepts more clearly, or with more verve and gusto, than Richard Feynman.'
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Feynman, Richard, Feynman Lectures on Gravitation, Westview Press 2002 Amazon Editorial Reviews
Book Description
'The Feynman Lectures on Gravitation are based on notes prepared during a course on gravitational physics that Richard Feynman taught at Caltech during the 1962-63 academic year. For several years prior to these lectures, Feynman thought long and hard about the fundamental problems in gravitational physics, yet he published very little. These lectures represent a useful record of his viewpoints and some of his insights into gravity and its application to cosmology, superstars, wormholes, and gravitational waves at that particular time. The lectures also contain a number of fascinating digressions and asides on the foundations of physics and other issues. Characteristically, Feynman took an untraditional non-geometric approach to gravitation and general relativity based on the underlying quantum aspects of gravity. Hence, these lectures contain a unique pedagogical account of the development of Einstein's general theory of relativity as the inevitable result of the demand for a self-consistent theory of a massless spin-2 field (the graviton) coupled to the energy-momentum tensor of matter. This approach also demonstrates the intimate and fundamental connection between gauge invariance and the principle of equivalence.'
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Ford, David, The Modern Theologians : An Introduction to Christian Theology in the Twentieth Century, Blackwell 1997 Preface: 'The main aim of this volume is to introduce the theology of most leading twentieth-century Christian theologians and movements in theology. . . . The contributors are mostly based in Europe of North America and come from a wide range of institutions, denominational backgrounds, and countries. Most are themselves constructively engaged in modern theology, and their purpose has been to produce a scholarly account of their subject and also carry further the theological dialogue in each case.'
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Vonnegut, Kurt, Welcome to the Monkey House, Paw Prints 2008 Book Description
Release date: September 8, 1998
'Welcome to the Monkey House is a collection of Kurt Vonnegut’s shorter works. Originally printed in publications as diverse as The Magazine of Fantasy and Science Fiction and The Atlantic Monthly, these superb stories share Vonnegut’s audacious sense of humor and extraordinary range of creative vision.'
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Waddell, Helen, Peter Abelard, Buck Press 2007 Amazon customer review: A Great Version of a Great Story June 9, 2002
By A Customer
Format:Paperback
'I've always been an admirer of the philosopher Abelard, and like everyone else, I found the story of his love affair with Heloise very touching. So naturally, I jumped at the chance to read a book like this. And I was not disappointed. This book was very well written. Rather than painting Abelard as an egotistical, condescending, self-absorbed brute as some writers have (I'm pointing a finger at the author of "Stealing Heaven"), this book portrays him in a more sympathetic light. In this book, he is more accurately depicted as a deep and insightful man. Helen Waddell builds on what we know about Abelard, rather than making a bunch of wild guesses. Her writing style, too, is vivid and eloquent. "Peter Abelard" is a must for anyone who is into the story of Heloise and Abelard or anyone who likes a good book. I highly recommend it.'
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West, Morris, The Ambassador, New English Library 1970 Jacket: 'Out of every international crisis comes at least one great book. From the explosive, bitter and savage battlefront of Vietnam comes THE AMBASSADOR. . . . "
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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.
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Zemanian, Armen H, Transfiniteness for Graphs, Electrical Newtorks and Random Walks, Springer Verlag 1996 'A substantial introduction is followed by chapters covering transfinite graphs; connectedness problems; finitely structured transfinite graphs; transfinite electrical networks; permissively finitely structured networks; and a theory for random walks on a finitely structured transfinite network. Appendices present brief surveys of ordinal and cardinal numbers; summable series; and irreducible and reversible Markov chains. Accessible to those familiar with basic ideas about graphs, Hilbert spaces, and resistive electrical networks. (Annotation copyright Book News, Inc. Portland, Or.)'
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Links
Atanarjuat: The Fast Runner - Wikipedia, Atanarjuat: The Fast Runner - Wikipedia, the free encyclopedia, 'Atanarjuat: The Fast Runner (Inuktitut: ᐊᑕᓈᕐᔪᐊᑦ) is a 2001 Canadian epic film directed by Inuit filmmaker Zacharias Kunuk and produced by his company Isuma Igloolik Productions. It was the first feature film ever to be written, directed and acted entirely in the Inuktitut language.
Set in the ancient past, the film retells an Inuit legend passed down through centuries of oral tradition. It revolves around the title character, whose marriage with his two wives earns him the animosity of the son of the band leader, who kills Atanarjuat's brother and forces Atanarjuat to flee by foot.' back |
Bury My Heart at Wounded Knee - Wikipedia, Bury My Heart at Wounded Knee - Wikipedia, the free encyclopedia, ' Bury My Heart at Wounded Knee: An Indian History of the American West is a 1970 book by American writer Dee Brown that covers the history of Native Americans in the American West in the late nineteenth century. The book expresses details of the history of American expansionism from a point of view that is critical of its effects on the Native Americans. Brown describes Native Americans' displacement through forced relocations and years of warfare waged by the United States federal government. The government's dealings are portrayed as a continuing effort to destroy the culture, religion, and way of life of Native American peoples.' back |
Bury My Heart at Wounded Knee (film) - Wikipedia, Bury My Heart at Wounded Knee (film) - Wikipedia, the free encyclopedia, ' Bury My Heart at Wounded Knee is a 2007 historical drama television film adapted from the book of the same name by Dee Brown. The film was written by Daniel Giat, directed by Yves Simoneau and produced by HBO Films. The book on which the movie is based is a history of Native Americans in the American West in the 1860s and 1870s, focusing upon the transition from traditional ways of living to living on reservations and their treatment during that period. The title of the film and the book is taken from a line in the Stephen Vincent Benet poem "American Names." It was shot in Calgary, Alberta, Canada.' back |
Campbell Robertson, Crime Is Down, Yet U.S. Incarceration Rates Are Still Among the Highest in the World, ' Slightly under 1.5 million people were in prison at the end of 2017, a population that if gathered in one place would be one of the largest cities in the country. Still, this was a decrease of 1.2 percent from 2016, and a nearly 8 percent drop from the peak of prison population in 2009. County and city jails held around 750,000 inmates in mid-2017.
Combined, this would make the United States by far the world’s leader in incarceration according to data collected by the Institute for Criminal Policy Research at Birkbeck, University of London, though it is unclear exactly how many people are held in detention in China, the country with the second highest count. back |
Charge conservation - Wikipedia, Charge conservation - Wikipedia, the free encyclopedia, ' Charge conservation can also be understood as a consequence of symmetry through Noether's theorem, a central result in theoretical physics that asserts that each conservation law is associated with a symmetry of the underlying physics. The symmetry that is associated with charge conservation is the global gauge invariance of the electromagnetic field. . . . In quantum mechanics the scalar field is equivalent to a phase shift in the wavefunction of the charged particle . . . so gauge invariance is equivalent to the well known fact that changes in the phase of a wavefunction are unobservable, and only changes in the magnitude of the wavefunction result in changes to the probability function. This is the ultimate theoretical origin of charge conservation.' back |
Codec - Wikipedia, Codec - Wikipedia, the free encyclopedia, 'A codec is a device or computer program capable of encoding or decoding a digital data stream or signal. Codec is a portmanteau of coder-decoder or, less commonly, compressor-decompressor.' back |
David Fickling, We Should Let China Spy on Us, ' Governments that have detailed knowledge of other countries’ motivations and capabilities are likely to be much more circumspect about the sort of rash actions that can lead to war. That’s one reason why North Korea’s opaque regime can seem so alarming, whereas German-U.S. relations survived revelations of Washington eavesdropping on Chancellor Angela Merkel’s cell phone more or less unscathed. In this sense, espionage is just a more shadowy version of the nuclear inspections, Open Skies agreements and joint military drills that routinely build confidence between rival powers. back |
Divinyls - Chrissy Amphlett, Boys in Town (1981), back |
E. J. Dionne Jr., What House Democrats should do now, ' For now, it’s useful for Democrats such as Sen. Elizabeth Warren (Mass.) to underscore the outrageousness of the abuses Mueller found by calling for impeachment while Democrats in charge of the inquiries such as Nadler and Rep. Adam B. Schiff (Calif.), chair of the House Intelligence Committee, say, as both did on Sunday, they’ll reserve judgment while they sift through the facts.' back |
Eric L. Muller, The Roberts Court is Considering the Legal Reasoning of Jim Crow to Uphold a Rigged Census, ' Palmer v. Thompson was about a particular racist notion that surfaced in white people in the American South at the idea of being in the water with black people. As late as 1963, the city of Jackson, Mississippi, ran five public pools, all of them for whites only. A lawsuit led a federal judge to declare that black people had the constitutional right to unsegregated use of the city’s pools. Jackson’s political leaders responded not by integrating the pools but by closing them.
It was a devilish move that packaged Jackson’s racism in neutral wrapping paper. Closing the pools wasn’t racist, the city argued; it applied equally to everyone. Nobody—black or white—would any longer be able to beat the heat of a Mississippi summer in a Jackson municipal swimming pool.' back |
Feynman, Leighton & Sands FLP I:52, Symmetry in Physical Laws, 'First, what is symmetry? How can a physical law be “symmetrical”? The problem of defining symmetry is an interesting one and we have already noted that Weyl gave a good definition, the substance of which is that a thing is symmetrical if there is something we can do to it so that after we have done it, it looks the same as it did before. For example, a symmetrical vase is of such a kind that if we reflect or turn it, it will look the same as it did before. The question we wish to consider here is what we can do to physical phenomena, or to a physical situation in an experiment, and yet leave the result the same.' back |
Feynman, Leighton & Sands FLP III:01, Chapter 1: Quantum Behaviour, 'The gradual accumulation of information about atomic and small-scale behavior during the first quarter of the 20th century, which gave some indications about how small things do behave, produced an increasing confusion which was finally resolved in 1926 and 1927 by Schrödinger, Heisenberg, and Born. They finally obtained a consistent description of the behavior of matter on a small scale. We take up the main features of that description in this chapter.' back |
Globethics and World Council of Churches, Global Directory of Theological Education Insitutuions, 'The Global Directory of Theological Education Institutions lists more than 7'000 institutions of theological education (church based theological seminaries, Bible Schools, university departments of theology, faculties of religious studies).' back |
Gothic architecture - Wikipedia, Gothic architecture - Wikipedia, the free encyclopedia, 'Gothic architecture is a style of architecture that flourished during the high and late medieval period. It evolved from Romanesque architecture and was succeeded by Renaissance architecture. . . . It is in the great churches and cathedrals and in a number of civic buildings that the Gothic style was expressed most powerfully, its characteristics lending themselves to appeal to the emotions. A great number of ecclesiastical buildings remain from this period, of which even the smallest are often structures of architectural distinction while many of the larger churches are considered priceless works of art and are listed with UNESCO as World Heritage Sites. For this reason a study of Gothic architecture is largely a study of cathedrals and churches.' back |
Haroon Janjua, Polio Vaccinator is Shot and Killed in Pakistan, ' ISLAMABAD — Two gunmen on motorcycle shot and killed a polio vaccinator in the southwestern Pakistani city of Chaman on Thursday, bringing the death toll among vaccinators working in the country’s anti-polio drive to at least three this week, officials said.
The shooters opened fire on a group of vaccinators when they were at the front gate of a house in the remote village of Sultan Zai, near the border with Afghanistan, said Samiullah Agha, who is the assistant commissioner of Chaman.' back |
Jesse J. Prinz, Is Attention Necessary and Sufficient for Consciousness?, 'When we identify the neural mechanisms underlying intermediate-level perceptual processing, we have, in effect, located consciousness in the brain. One might think this is enough. If our goal is to find the NCCs, then we need look no further. Intermediate-level processing areas are well known in the brain, and we have overwhelming reason to think consciousness resides there.' back |
Jon Schwartz, The bet hot take on the Mueller report of from 1796, ' The Mueller report is now (mostly) public. The lurid speculation from Democrats and chunks of the corporate media that President Donald Trump was somehow a Russian agent was false. But the report, and Mueller’s previous indictments, should persuade any reasonable person that the Russian government did indeed intervene in the 2016 election in support of Trump.
The response from the U.S. political system to Russia’s meddling has been uniformly appalling, although in different ways from different factions. . . .
Incredibly enough, Washington called this whole thing back in 1796 as he was leaving office as America’s first president. His Farewell Address, as it became known, was until the 20th century as celebrated as the Gettysburg Address is now. The Senate still reads it every year on Washington’s birthday.' back |
Joseph Babcock, As corpses rot and the search for family memner's remains becomes more urgent, there is a special Vietnamese Office for Seeking Missing Persons but it helps find Americans, ' VIETNAM—Mai Huy Du was 17 when he volunteered for the People’s Army of Vietnam in 1970.. . . . Du is one of hundreds of thousands of Vietnamese soldiers still missing from the war with America. The Vietnamese government puts the number at 300,000, but the actual number of those whose bodies were buried in anonymous graves or never found and buried at all is widely believed to be closer to 500,000. Without a body to pray over and honor on certain days of the year, most Vietnamese believe that the soul of the dead wanders lost in the afterlife, stuck in a kind of purgatory.' back |
Knaster-Tarski theorem - Wikipedia, Knaster-Tarski theorem - Wikipedia, the free encyclopedia, ' In the mathematical areas of order and lattice theory, the Knaster–Tarski theorem, named after Bronisław Knaster and Alfred Tarski, states the following:
Let L be a complete lattice and let f : L → L be an order-preserving function. Then the set of fixed points of f in L is also a complete lattice.
It was Tarski who stated the result in its most general form, and so the theorem is often known as Tarski's fixed point theorem. Some time earlier, Knaster and Tarski established the result for the special case where L is the lattice of subsets of a set, the power set lattice.
The theorem has important applications in formal semantics of programming languages and abstract interpretation.
A kind of converse of this theorem was proved by Anne C. Davis: If every order preserving function f : L → L on a lattice L has a fixed point, then L is a complete lattice. ' back |
Manhattan Night - Wikipedia, Manhattan Night - Wikipedia, the free encyclopedia, ' Manhattan Night is a 2016 American crime thriller film written and directed by Brian DeCubellis. It is based on the 1996 novel Manhattan Nocturne by Colin Harrison. The film stars Adrien Brody, Yvonne Strahovski, Jennifer Beals, Campbell Scott, Linda Lavin and Steven Berkoff. The film was released on May 20, 2016, by Lionsgate Premiere. ' back |
Manhattan Nocturne - Wikipedia, Manhattan Nocturne - Wikipedia, the free encyclopedia, ' Manhattan Nocturne is a crime novel by Colin Harrison set in Manhattan, first published in 1996. The novel was published in America in hardcover by Crown and remains in print by Picador in trade paperback. Fifteen foreign, paperback, and bookclub editions were published and the book was selected a New York Times Notable Book.' back |
Nyquist-Shannon sampling theorem - Wikipedia, Nyquist-Shannon sampling theorem - Wikipedia, the free encyclopedia, 'In the field of digital signal processing, the sampling theorem is a fundamental bridge between continuous-time signals (often called "analog signals") and discrete-time signals (often called "digital signals"). It establishes a sufficient condition for a sample rate that permits a discrete sequence of samples to capture all the information from a continuous-time signal of finite bandwidth.' back |
Paul Monk, Cancer, and the science of a very human war, ' How many people even noticed that, on October 1 last year, the Nobel Prize for Physiology or Medicine was awarded to James P. Allison and Tasuku Honjo for breakthrough discoveries in stimulating the human immune system to attack cancer cells?
It took a century and the tenacity of a few pioneers to turn the human immune system against cancer. As recently as 2011, “most oncologists — most scientists — dismissed cancer immunology as a dead end, peopled by quacks and true believers” who confused hope with good science, Charles Graeber records in The Breakthrough: Immunotherapy and the Race to Cure Cancer (2019). But finally good science — exquisitely good science — yielded the breakthrough for which Allison and Honjo have just been recognised.' back |
Phlip Almond, Friday essay: How Western attitudes towards Islam have changed, ' The fault line in modern religion doesn’t go to a clash between civilisations or even to a clash between religions so much as to a struggle within religions and within cultures, between theologies, ethics, political ideologies, ethnicities, exclusivism and inclusivism.
It is a struggle between liberals and conservatives, fundamentalists and moderates, reason and revelation. It is a battle within theologies between a God who is thought to be knowable through nature, man and history and a God who is thought to be only knowable through the revelations contained in the inerrant pages of the Torah, the New Testament or the Quran.
It is a struggle within all religions between those who believe there are “many paths to Heaven”, endorse freedom of religion, encourage tolerance and support mutual respect against those who believe there is only “one way to Paradise” and desire to impose this on everyone else, whatever it takes.' back |
Reel Injun - Wikipedia,, Reel Injun - Wikipedia, the free encyclopedia, ' Reel Injun is a 2009 Canadian documentary film directed by Cree filmmaker Neil Diamond, Catherine Bainbridge, and Jeremiah Hayes that explores the portrayal of Native Americans in film. Reel Injun is illustrated with excerpts from classic and contemporary portrayals of Native people in Hollywood movies and interviews with filmmakers, actors and film historians, while director Diamond travels across the United States to visit iconic locations in motion picture as well as American Indian history.' back |
Sacred tradition - Wikipedia, Sacred tradition - Wikipedia, the free encyclopedia, 'Sacred tradition or holy tradition is a theological term used in some Christian traditions, primarily in the Roman Catholic, Anglican, Eastern Orthodox and Oriental Orthodox traditions, to refer to the fundamental basis of church authority. . . . The term "deposit of faith" refers to the entirety of Jesus Christ's revelation, and is passed to successive generations in two different forms, sacred scripture (the Bible) and sacred tradition (apostolic succession).' back |
Second Vatican Council, Dogmatic Constitution on Divine Revelation - Dei Verbum, 'The Second Vatican Council taught on tradition, scripture, and magisterium in Dei Verbum, n. 10:
Sacred Tradition and Sacred Scripture form one sacred deposit of the word of God, committed to the Church. Holding fast to this deposit the entire holy people united with their shepherds remain always steadfast in the teaching of the Apostles, in the common life, in the breaking of the bread and in prayers (see Acts 2, 42, Greek text), so that holding to, practicing and professing the heritage of the faith, it becomes on the part of the bishops and faithful a single common effort.
But the task of authentically interpreting the word of God, whether written or handed on, has been entrusted exclusively to the living teaching office of the Church, whose authority is exercised in the name of Jesus Christ. This teaching office is not above the word of God, but serves it, teaching only what has been handed on, listening to it devoutly, guarding it scrupulously and explaining it faithfully in accord with a divine commission and with the help of the Holy Spirit, it draws from this one deposit of faith everything which it presents for belief as divinely revealed.
It is clear, therefore, that Sacred Tradition, Sacred Scripture and the teaching authority of the Church, in accord with God's most wise design, are so linked and joined together that one cannot stand without the others, and that all together and each in its own way under the action of the one Holy Spirit contribute effectively to the salvation of souls.' back |
Tad Delay, taddelay | ABOUT, 'Tad DeLay is a PhD student (philosophy of religion and theology) at Claremont Graduate University. He holds an MA in Theology and Biblical Studies from Fuller Theological Seminary and a BA in psychology. He aspires to be a public scholar, professor, speaker, author, activist, and cigar connoisseur.
Specialities: Continental philosophy, theology and Biblical studies, psychology & psychoanalytic theory, political & economic theory back |
Tantra - Wikipedia, Tantra - Wikipedia, the free encyclopedia, 'Tantra is the name scholars give to a style of religious ritual and meditation that arose in medieval India no later than the fifth century CE.[1] The earliest documented use of the word Tantra is in the Hindu text, the Rigveda (X.71.9).
Tantra has influenced the Hindu, Sikh, Bön, Buddhist, and Jain religious traditions and spread with Buddhism to East Asia and Southeast Asia. . . . Modern scholars have also provided definitions of Tantra. David Gordon White of the University of California offers the following:
Tantra is that Asian body of beliefs and practices which, working from the principle that the universe we experience is nothing other than the concrete manifestation of the divine energy of the godhead that creates and maintains that universe, seeks to ritually appropriate and channel that energy, within the human microcosm, in creative and emancipatory ways' back |
Tithe - Wikipedia, Tithe - Wikipedia, the free encyclopedia, 'A tithe (. . . from Old English: teogoþa "tenth") is a one-tenth part of something, paid as a contribution to a religious organization or compulsory tax to government.[1] Today, tithes are normally voluntary and paid in cash, cheques, or stocks, whereas historically tithes were required and paid in kind, such as agricultural products. Several European countries operate a formal process linked to the tax system allowing some churches to assess tithes.' back |
Yves Simoneau, Bury My Heart at Wounded Knee, ' In the 1880s, after the U. S. Army's defeat at the Battle of the Little Bighorn, the government continues to push Sioux Indians off their land. In Washington, D.C., Senator Henry Dawes (Aidan Quinn) introduces legislation to protect Native Americans rights. In South Dakota, schoolteacher Elaine Goodale (Anna Paquin) joins Sioux native and Western-educated Dr. Charles Eastman in working with tribe members. Meanwhile, Lakota Chief Sitting Bull refuses to give into mounting government pressures.' back |
Zero-energy universe - Wikipedia, Zero-energy universe - Wikipedia, the free encyclopedia, 'The zero-energy universe hypothesis proposes that the total amount of energy in the universe is exactly zero: its amount of positive energy in the form of matter is exactly canceled out by its negative energy in the form of gravity. . . . The zero-energy universe theory originated in 1973, when Edward Tryon proposed in the journal Nature that the universe emerged from a large-scale quantum fluctuation of vacuum energy, resulting in its positive mass-energy being exactly balanced by its negative gravitational potential energy.' back |
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