natural theology

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Notes

Sunday 2 January 2022 - Saturday 8 January 2022

[Notebook: DB 87: Cognitive Cosmology]

[page 150]

Sunday 2 January 2022

[page 151]

The big question is: are the Lorentz transformations of Hilbert space the only way to introduce special relativity into classical space or does special relativity in fact only influence real particles? Here we have to ask some questions about complex energy and the most interesting answer we look for is the transformation of complex energy into real energy by the absolute square of amplitudes. Complex energy is linear like quantum mechanics. Real energy is quadratic and linked to momentum in a Pythagorean triangle. Here we have a significant new idea, complex energy (related to complex time?) which helps to describe the relativistic relationship of the null geodesic on Minkowski space. All this stuff needs to be compressed into a little article explaining that Hilbert space is the true and unobservable domain of Minkowski space. Imaginary time - Wikipedia

We start all this from the quantum initial singularity and the associated Lie group which describes the interior of the Universe and all other particles generated within the universe by fixed point theory. They all have continuous interiors pixellated by quantum fixed points. Sunny Auyang (1995): How is Quantum Field Theory Possible?, pp 45 sqq

Monday 3 January 2022

Can this be true or am I going for a bridge too far? The fact must be that if the universe begins with a structureless initial singularity it must be a potential universe, ie not nothing. We might say the universe is a "quantum fluctuation" but something must fluctuate. My instinct is that the notion of uncertainty being a dynamical principle is in some way false so zero point energy is a fiction, just as graduating [measuring] tapes in [discrete] units does not create new distances, it simply limits the resolution with which we can measure distance [with that particular tape].

Rosza Peter Playing with Infinity: the fundamental mythical being. There is no actual infinity, the mythology of [1, 2, . . . ∞] This leads to an ancient radical error: 'god is infinite' meaning god is undefined. What we might say is that there is no uncountable infinity in Hilbert space, so C is a fiction [everything real and observable is defined]. Rózsa Péter (1976): Playing with Infinity: Mathematical Explorations and Excursions, Easwaran, Hajek, Mancosu & Oppy (Stanford Encyclopedia of Philosophy): Infinity

[page 152]

It is hard to believe logical arguments without empirical verification, the scientific safety net. Question: How secure is physics? Cosmological constant problem says it is not at all secure, so lets take a look under the rug. Richard P. Feynman (1965): Nobel Lecture: The Development of the Space-Time View of Quantum Electrodynamics

Tuesday 4 January 2022

The spirit proceeds from a superposition of the father and the Son. Thus far we have followed Catholic dogma precisely. Now we can go into natural number mode, from Trinity to transfinity.

Wednesday 5 January 2022

I am acting in my divine capacity.

The Catholic Church is an image of the world formed about 2500 years ago before the enlightenment we associate with Ancient Greece began to propagate around the Mediterranean. The Catholic God is an ancient warrior deity who did not hesitate to kill any number of people to show their power. We are now teetering on the edge of a new age of human rights, democracy, adequate food and shelter, global healthcare, sustainable business and all the other benefits of a modern evidence based outlook on the world we find ourselves in. Reactionary forces in the form of the Catholic Church, the Communist Party of China and authoritarian rulers are still powerful. The ghosts of the bad old days of war, disease and famine remain and we know how to kill them if we have the political will.

God has no structure, no entropy, no control in its initial condition and then begins to generate entropy by a procession of actions with no cloning [as the Father Begets the Son, differentiated in the Aquinas model by the relationships of paternitas and filiatio].

From an information theoretical point of view the universe started

[page 153]

as one state, an empty set, entropy log2 1 = 0.

Chaitin: Gregory J. Chaitin (1982): Gödel's Theorem and Information

As in god, action begets action, which is the mechanism of causality.

Thursday 6 January 2022
Friday 7 January 2022

One is always wondering about consciousness and the subconscious They are both mechanisms that go their own way and there is nothing more mystical or mysterious about them than any other process in the universe. As Turing notes, some processes come to a halt and produce a result. Others, faced by an incomputable problem, go on forever. We might guess that this is what keeps the universe going and perhaps keep me going. This paragraph is the output of a computation that has halted, but it is motivated by my ongoing problem, which is to create a coherent story about a divine cognitive universe. . . . I am writing this because at the moment I am not motivated to make any progress on this project: In other words I do not have a step forward that motivates me to write, ie the problem I am working on has not halted. We understand a Turing machine as a linear serial set of logically connected operations which create a logical continuum between a set of hypotheses and a set of conclusions [that is a mapping or correspondence]. The network model of the universe, modelled as the superposition of the set of all possible Turing machine mapped onto the natural numbers would [(might?)] have a lot more power than a simple Turing machine. . . . Like Feynman's path integral it contains all possibe computable paths from an input to an output. This suggests, that like Feynmans integral, it will select one path out of the possibilities and it will appear as the propagator from the hypothesis to the conclusion. Path integral formulation - Wikipedia

Although motivated by lack of progress, this paragraph, which envisages a superposition of of all processes in a transfinite network, seems to contain the germ of of an idea to explain the intelligence of the universe in a Hilbert space of computational processes. Perhaps an orgasmic idea, slow in coming, but I can search back through these notes

[page 154]

to find the point where I first saw a network as a superposition of linear turing processes which may be understood as geodesics through the spacetime of all possible processes constructed by mapping Turing machines onto the natural numbers and permuting them as Cantor did. Georg Cantor (1897, 1955): Contributions to the Founding of the Theory of Transfinite Numbers

How do we relate phase to computation? Thinking along the lines of fast Fourier transformation and gauge symmetry, which basically tells us that waves of constant frequency have an infinity of initial points so that they can be differentiated with respect to their [local] effect. Something to do with phase, causality and computation. Back to Chaitin, but first come breakfast, bread and avocado. Fast Fourier transform - Wikipedia

All processes are linear sequences of actions which is why we only observe one quantum state at a time, selected out of a superposed stream since in the beginning there is no time and we have a situation rather like Aquinas's god with the whole idea of the universe contained in one absolutely simple system of pure eternal act. It is easy to put these words together, but do they mean anything comprehensible [or can we shelves the issue by saying god is incomprehensible]?

[Individual] words carry superpositions of meaning and by stringing them together we select certain elements out of each word that fit together to form a logically continuous process, eg this sentence.

As in the two slit experiment, the structure of a superposition arises from the structure of the space in which the system finds itself, whether it be two slits or the infinity of possible paths that Feynman imagines between the initial and final states which we imagine to be the inputs and outputs of the countable infinity of different Turing machines. So the old question - how does a logically continuous path (the execution of a Turing machine) correspond to a Feynman trajectory (propagator) and more particularly an extremal propagator [ie the most efficient algorithm for achieving the desired result]? Even more particularly, how does this sentence correspond to a process within me? The physical path is connected to the mental path by the network property of symmetry with respect to complexity [my network being billions of neurons connected by trillions of synapses].

[page 155]

Chaitin and Gödel lead to static incompleteness. Then we turn to dynamics and the Turing machine introduces memories and evolution. We then construct a creator which comes up [out of the initial singularity] with spacetime, gravitation, fundamental particles. So simple.

It must be simple because the world at this level is too simple to accommodate quantum field theory and string theory in their full complexity .

We see people everywhere and know that they are conscious entities like ourselves with an inner life that corresponds to their immediate environment tempered by their experience of their lives, and we can attribute similar proportionate inner lives to all particles in the universe as a consequence of invariance with respect to complexity.

First we imagine, then words, images, design and dimension with measurement and numbers, the passage from imagination to engineering.

The velocity of light may be an arbitrary but fixed ratio of time to space and perhaps there is a relation between space, time, action and energy built into the complex numbers all based on the closure of circular motion implicit in the quantum of action, ie the basic structure of quantum theory is implicit in complex arithmetic [which seems to fit the idea that Hilbert space is the invisible imagination of the universe that underlies observable events in classical Minkowski space].

Saturday 8 January 2022

The usual morning thoughts: is it all straw or an effective new vision of god? What I like best about Aquinas is the overall simplicity of his arguments which almost all boil down to Aristotle's potency and act. Lonergan translated this for me into the distinction between meaningless ("empirical residue") and meaningful. Over the years this has metamorphosed in my mind to uncontrolled and controlled via the cybernetic principle of requisite variety which Chaitin coupled for me to Gödel's incompleteness and showed clearly that the ancient ideas of an omniscient and omnipotent God controlling

[page 156]

everything down to the last detail is impossible. Finally, Penrose, Hawking and Ellis introduced me to the initial singularity implicit in Einstein's relativity. This brought me to the starting point of my honours thesis, the identification of a new vision of god starting with the identification of the initial singularity and the completely simple god of Aquinas with the creator of the world. All this is classical stuff. In the last two years I have introduced quantum mechanics into the picture by identifying the quantum of action with the "actus purus"of Aquinas and set myself on course to see quantum theology as the crestive power of a divine universe which I can identify with the mind of god using cognitive cosmology. Now I am, I think on the road to my scientific heaven and I just have to document it, and my personal website is to be the front end of the programme.My objective now is to spend 2022 and 2023 writing my home made application for a licentia docendi centred on my new vision of God. Thomas Aquinas: My writing seems like straw to me, Licentiate (degree) Wikipedia, Jeffrey Nicholls (2016): Essay 16: Green theology: a path to heaven (2016)

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Further reading

Books

Auyang (1995), Sunny Y., How is Quantum Field Theory Possible?, Oxford University Press 1995 Jacket: 'Quantum field theory (QFT) combines quantum mechanics with Einstein's special theory of relativity and underlies elementary particle physics. This book presents a philosophical analysis of QFT. It is the first treatise in which the philosophies of space-time, quantum phenomena and particle interactions are encompassed in a unified framework.' 
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Bonhoeffer, Dietrich, Letters and Papers from Prison (Dietrich Bonhoeffer, Works vol 8), Fortress Press 2010 'This splendid volume, in many ways the capstone of the Dietrich Bonhoeffer Works, is the first unabridged collection of Bonhoeffer's 1943 prison letters and theological writings. Here are over 200 documents that include extensive correspondence with his family and Eberhard Bethge (much of it in English for the first time), as well as his theological notes, and his prison poems. The volume offers an illuminating introduction by editor John de Gruchy and an historical Afterword by the editors of the original German volume: Christian Gremmels, Eberhard Bethge, and Renate Bethge.' 
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Bultmann, Rudolf, History of the Synoptic tradition, Harper 1976 'This translation of Bultmann's concise and erudite work in the form-critical method of understanding the composition of the Synoptic Gospels is not for the beginner. Like Bultmann, the translator leaves the Greek untranslated. While a boon for serious scholars, this will make it difficult for those unfamiliar with the Greek of the Gospels. However as a complete work it remains unsurpassed in the school of form-critical method, but this also demonstrates the work's age, since source criticism has drawn the attention of scholars in recent decades. It is, however, a work that cannot be ignored; Bultmann's reputation as a scholar and theologian of the finest quality is permanent, and this book is an excellent illustration of why that is.' An Amazon customer 
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Cantor (1897, 1955), 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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Coleridge, Samuel Taylor, The Collected Works of Samuel Taylor Coleridge, volume 9: Aids to Reflection, Princeton University Press 1993 'Coleridge's "Aids to Reflection" was written at a time when new movements in thought were starting to unsettle belief. It was read with admiration by early Victorians such as John Sterling, F. D. Maurice, and Thomas Arnold, contributing to the formation of the Broad Church Movement, and with respect by members of the High Church Movement, including John Henry Newman. Coleridge had intended simply to produce a selection from the writings of the seventeenth-century Archbishop Robert Leighton with comments of his own, but as he worked at the book he found the commentary expanding to take in the fruits of his religious thinking over the years, so that the second, and more important, part of the volume was totally dominated by his thought. In this, the first major edition of "Aids to Reflection", the intricate story of Coleridge's changing conception is unfolded by way of an introduction and detailed notes, the surviving materials for the volume being printed in appendixes. The introduction also traces the subsequent influence of the work in England and America; further appendixes include James Marsh's influential preface to the first American edition, which is reproduced in full.' 
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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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Haight, Roger, Jesus Symbol of God, Orbis Books 1999 Jacket: 'This book is the flagship of the fleet of late twentieth century works that show American Catholic theology has indeed come of age. Deeply thoughtful in its exposition, lucid in its method, and by turns challenging and inspiring in its conclusions, this christology gives a new articulation of the saving "point" of it all. . . . Highly recommended for all who think about and study theology.' Elizabeth Johnson CSJ, Fordham University. 
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Ostoff, H., and K Brugman, Morphologische Untersuchungen Auf Dem Gebiete Der Indogermanischen Sprachen, Nabu Press 1923, 2014 'This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.' 
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Péter (1976), Rózsa, and Z. P Dienes (translator), Playing with Infinity: Mathematical Explorations and Excursions, Dover 1976 ' This popular account of the many mathematical concepts relating to infinity is one of the best introductions to this subject and to the entire subject of mathematics. Dividing her book into three parts — the Sorcerer's Apprentice, the Creative Roe of Form, and the Self-Critique of Pure Reason, Rózsa Péter develops her material in twenty-two chapters that sound almost too appealing to be true: playing with fingers, coloring grey number series, we catch infinity again, the line is filled up, some workshop secrets, the building rocks, and so on.' 
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Robins, R H, A Short History of Linguistics, Routledge 1997 'This complete revision and updating of Professor Robins' classic text offers a comprehensive account of the history of linguistic thought from its European origins some 2500 years ago to the present day. It examines the independent development of linguistic science in China and Medieval Islam, and especially in India, which was to have a profound effect on European and American linguistics from the end of the eighteenth century.' 
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Schleiermacher, Friedrich, On Religion: Speeches to its Cultured Despisers (Cambridge Texts in the History of Philosophy), Cambridge University Press 1799. 1996  
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Yourgrau, Wolfgang, and Stanley Mandelstam, Variational Principles in Dynamics and Quantum Theory, Dover 1979 Variational principles serve as filters for parititioning the set of dynamic possibilities of a system into a high probability and a low probability set. The method derives from De Maupertuis (1698-1759) who formulated the principle of least action, which states that physical laws include a rule of economy, the principle of least action. This principle states that in a mathematically described dynamic system will move so as to minimise action. Yourgrau and andelstam explains the application of this principle to a variety of physical systems.  
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Links

Alastair Wilson, How could the Big Bang arise from nothing?, ' READER QUESTION: My understanding is that nothing comes from nothing. For something to exist, there must be material or a component available, and for them to be available, there must be something else available. Now my question: Where did the material come from that created the Big Bang, and what happened in the first instance to create that material? Peter, 80, Australia.' back

Andrew Taylor, Sacked for being vaxxed: ‘Church’ defends decision to terminate worker who got COVID jab, ' A letter from the church’s vice-president Karen Burge praised Ms Chait’s work but said getting a vaccination was inconsistent with its religious teachings. “It is the position of the COU that to receive the COVID-19/Sars Cov 2 injection consciously and deliberately with intent is in contradiction with our Constitution and contrary to our position on what is required of us by our Lord God and Creator,” she said.' back

Dietrich Bonhoeffer - Wikipedia, Dietrich Bonhoeffer - Wikipedia, the free encyclopedia, 'Dietrich Bonhoeffer (German: 4 February 1906 – 9 April 1945) was a German Lutheran pastor, theologian, anti-Nazi dissident, and key founding member of the Confessing Church. His writings on Christianity's role in the secular world have become widely influential, and his book The Cost of Discipleship became a modern classic.' back

Easwaran, Hajek, Mancosu & Oppy (Stanford Encyclopedia of Philosophy), Infinity, Infinity is a big topic. Most people have some conception of things that have no bound, no boundary, no limit, no end. The rigorous study of infinity began in mathematics and philosophy, but the engagement with infinity traverses the history of cosmology, astronomy, physics, and theology. In the natural and social sciences, the infinite sometimes appears as a consequence of our theories themselves or in the modelling of the relevant phenomena back

Eberhard Jüngel - Wikipedia, Eberhard Jüngel - Wikipedia, the free encyclopedia, 'Eberhard Jüngel (born 5 December 1934) is a German Lutheran theologian. He is also Emeritus Professor of Systematic Theology and the Philosophy of Religion at the Faculty of Evangelical Theology of the University of Tübingen.' back

Fast Fourier transform - Wikipedia, Fast Fourier transform - Wikipedia, 'A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex-number arithmetic to group theory and number theory; this article gives an overview of the available techniques and some of their general properties, while the specific algorithms are described in subsidiary articles linked below.' back

Feud - Wikipedia, Feud - Wikipedia, the free encyclopedia, 'A feud, referred to in more extreme cases as a blood feud, vendetta, faida, beef, clan war, or private war, is a long-running argument or fight, often between social groups of people, especially families or clans. Feuds begin because one party (correctly or incorrectly) perceives itself to have been attacked, insulted or wronged by another. Intense feelings of resentment trigger the initial retribution, which causes the other party to feel equally aggrieved and vengeful. The dispute is subsequently fuelled by a long-running cycle of retaliatory violence. This continual cycle of provocation and retaliation makes it extremely difficult to end the feud peacefully. Feuds frequently involve the original parties' family members and/or associates, can last for generations and may result in extreme acts of violence. They can be interpreted as an extreme outgrowth of social relations based in family honor. back

Friedrich Wilhelm Ritschl - Wikipedia, Friedrich Wilhelm Ritschl - Wikipedia, the free encyclopedia, 'Friedrich Wilhelm Ritschl (April 6, 1806 – November 9, 1876) was a German scholar best known as a student of Plautus.' back

Gregory J. Chaitin (1982), Gödel's Theorem and Information, 'Abstract: Gödel's theorem may be demonstrated using arguments having an information-theoretic flavor. In such an approach it is possible to argue that if a theorem contains more information than a given set of axioms, then it is impossible for the theorem to be derived from the axioms. In contrast with the traditional proof based on the paradox of the liar, this new viewpoint suggests that the incompleteness phenomenon discovered by Gödel is natural and widespread rather than pathological and unusual.'
International Journal of Theoretical Physics 21 (1982), pp. 941-954 back

Henry Sweet - Wikipedia, Henry Sweet - Wikipedia, the free encyclopedia, 'Henry Sweet (15 September 1845 – 30 April 1912) was an English philologist, phonetician and grammarian.
back

Imaginary time - Wikipedia, Imaginary time - Wikipedia, the free encyclopedia, ' Imaginary time is a mathematical representation of time which appears in some approaches to special relativity and quantum mechanics. It finds uses in connecting quantum mechanics with statistical mechanics and in certain cosmological theories. Mathematically, imaginary time is real time which has undergone a Wick rotation so that its coordinates are multiplied by the imaginary unit i. Imaginary time is not imaginary in the sense that it is unreal or made-up (any more than, say, irrational numbers defy logic), it is simply expressed in terms of what mathematicians call imaginary numbers.' back

Jeffrey Nicholls (2016), Essay 16: Green theology: a path to heaven (2016), ' We proceed here on the assumption that the Universe is divine. From this we conclude that the observable Universe is God's body. We assume that the Universe executes all the functions traditionally attributed to God: creator, sustainer and judge. Since we, too are agents of God, our actions are part of God's action. The premise of green theology is that life is, to a large degree, what we make it. Ancient religions promise heaven and hell in an afterlife. In reality we die. We experience heaven and hell in this life. The role of green theology is to guide us toward the experience of heaven and away from hell.' back

Kerygma - Wikipedia, Kerygma - Wikipedia, the free encyclopedia, 'Kerygma (from the Greek word κήρυγμα kérugma) is a Greek word used in the New Testament for "preaching" (see Luke 4:18-19, Romans 10:14, Matthew 3:1). It is related to the Greek verb κηρύσσω kērússō meaning, literally, "to cry or proclaim as a herald" and used in the sense of "to proclaim, announce, preach". According to the New Testament (Luke 4:17-21), Jesus launched his public ministry when he entered the synagogue in Nazareth, read from the scroll of Isaiah and identified himself as the subject of Isaiah 61. The text is a programmatic statement of Jesus' ministry to preach or proclaim – kerygma – good news to the poor, the blind and the captive.' back

Licentiate (degree) Wikipedia, Licentiate (degree) Wikipedia, the free encyclopedia, ' As a license to teach, the ijaza at-tadris (license to teach) developed in the Islamic world in the 10th century at the latest. Its origin ties to the development of the science of fiqh and hadith, originating from a license to transmit hadith. In the later 12th century, it made its appearance in the Latin West in a papal decree of Pope Alexander III as a licentia docendi. It was regulated by the popes, such as in the Third Lateran Council of 1179. There is some debate as to whether the licentia docendi has roots in the ijaza at-tadris. Nonetheless, the timeline and translation match up perfectly with the Latin translations of the 12th century.' back

Monica Gill, India needs to protect its farmers against neocolonial agendas, ' So what is stopping the Indian prime minister from moving forward and implementing MSP? Besides his well-known closeness to the Indian corporate sector and tacit support for monopolies, he is also facing intense pressure from the World Trade Organization and countries such as Canada, the United States, and Australia. . . . Furthermore, in their campaign against India, what the developed countries fail to recognise is that they offer other types of income support for their citizens, including farmers, which are not available in developing nations. . . . The infrastructure of developing nations simply does not support the creation of similar social policies. An Indian citizen cannot rely on any other support besides their primary income.' back

Nicholas Bourbaki - Wikipedia, Nicholas Bourbaki - Wikipedia, the free encyclopedia, 'Nicolas Bourbaki is the collective pseudonym under which a group of (mainly French) 20th-century mathematicians wrote a series of books presenting an exposition of modern advanced mathematics, beginning in 1935. With the goal of founding all of mathematics on set theory, the group strove for rigour and generality. Their work led to the discovery of several concepts and terminologies still discussed.' back

Path integral formulation - Wikipedia, Path integral formulation - Wikipedia, the free encyclopedia, 'The path integral formulation of quantum mechanics is a description of quantum theory which generalizes the action principle of classical mechanics. It replaces the classical notion of a single, unique trajectory for a system with a sum, or functional integral, over an infinity of possible trajectories to compute a quantum amplitude. . . . This formulation has proved crucial to the subsequent development of theoretical physics, since it provided the basis for the grand synthesis of the 1970s which unified quantum field theory with statistical mechanics. . . . ' back

Perichoresis - Wikipedia, Perichoresis - Wikipedia, the free encyclopedia, 'Perichoresis (from Greek: περιχώρησις perikhōrēsis, "rotation") describes the relationship between each person of the triune God (Father, Son, and Holy Spirit). The word circumincession (later circuminsession) is also used to mean the same idea. The term, as used in Christian theology, was first used by the Church Fathers.' back

Reicher, Haslam, Ntontis & Jurstakova, Capitol assault: the real reason Trump and the crowd almost killed US democracy, ' But just as Trump empowered and emboldened the crowd to act, so they emboldened him. Many, including key insiders, have written of the central place that rallies played in Trump’s progress and of how the size and enthusiasm of these crowds were used as a measure of his political power. . . . Journalist and author Michael Wolff makes a similar point about the events of January 6, arguing the crowd’s enthusiasm pushed Trump further than he might otherwise have gone – “not … that he would incite the crowd but the crowd would incite him”. . . . Ultimately, what happened on January 6 was a genuine co-production between Trump and the crowd. Consequently, to reduce the Capitol assault to a question of whether Trump did or didn’t “incite” or “instruct” the crowd is far too simplistic.' back

Richard P. Feynman (1965), Nobel Lecture: The Development of the Space-Time View of Quantum Electrodynamics, Nobel Lecture, December 11, 1965: I did gather from my readings, however, that two things were the source of the difficulties with the quantum electrodynamical theories. The first was an infinite energy of interaction of the electron with itself. And this difficulty existed even in the classical theory. The other difficulty came from some infinites which had to do with the infinite numbers of degrees of freedom in the field. As I understood it at the time (as nearly as I can remember) this was simply the difficulty that if you quantized the harmonic oscillators of the field (say in a box) each oscillator has a ground state energy of (½ and there is an infinite number of modes in a box of every increasing frequency ω, and therefore there is an infinite energy in the box. I now realize that that wasn’t a completely correct statement of the central problem; it can be removed simply by changing the zero from which energy is measured. At any rate, I believed that the difficulty arose somehow from a combination of the electron acting on itself and the infinite number of degrees of freedom of the field.' back

SCMP Editorial, America’s bloated military spending is at odds with reality, ' An arms race is not what the world needs with the worsening Covid-19 pandemic and the impact to supply chains, trade and travel. If the US wants to compete with China, it would do better to invest in education, technology and infrastructure. Inflating a perceived threat when none exists is feeding an already bloated military, risking confrontation and conflict. back

Srishti Jaswal, Bulli Bai: India’s Muslim women again listed on app for ‘auction’, ' New Delhi, India – On January 1, Quratulain Rehbar, a journalist from Indian-administered Kashmir, woke up to see herself listed for an “online auction”. Her photograph was sourced without her permission and uploaded on an app for “sale”. Photographs of more than 100 Muslim women, including prominent actress Shabana Azami, wife of a sitting judge of Delhi High Court, multiple journalists, activists and politicians were displayed on the app for auction as “Bulli Bai” of the day. . . . While there was no real sale involved, the online application – created on Microsoft-owned open software development site GitHub – was, according to Rehbar, intended “to degrade and humiliate vocal Muslim women”.' back

Thomas Aquinas, My writing seems like straw to me, 'All that I have written seems like straw compared to what has now been revealed to me.' Remarks on being requested to resume writing, after a mystical experience while saying mass on or around 6 December 1273, as quoted in A Taste of Water : Christianity through Taoist-Buddhist Eyes (1990) by Chwen Jiuan Agnes Lee and Thomas G. Hand.' back

Wilhelm von Humboldt - Wikipedia, Wilhelm von Humboldt - Wikipedia, the free encyclopedia, 'Friedrich Wilhelm Christian Karl Ferdinand von Humboldt (22 June 1767 – 8 April 1835) was a German (Prussian) philosopher, government functionary, diplomat, and founder of the University of Berlin, which was named after him in 1949 (and also after his brother, Alexander von Humboldt, a naturalist). He is especially remembered as a linguist who made important contributions to the philosophy of language and to the theory and practice of education. In particular, he is widely recognized as having been the architect of the Prussian education system which was used as a model for education systems in countries such as the United States and Japan.' back

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