natural theology

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Notes

Sunday 23 May 2021 - Saturday 29 May 2021

[Notebook: DB 86: Hilbert / Minkowski]

Sunday 23 May 2021
Monday 24 May 2021

[page 240]

Tuesday 25 May 2021

The progress of human knowledge (and culture in general) seems a bit like a river meandering across its flood plain or a stream of water running down a window. Every now and then the flow changes its course, perhaps due to a flood or encountering an obstacle, or some other random event [like an earthquake] which in theory may be infinitesimally small. I would like to see myself as the infinitesimally small religious event, [a] centre of condensation, that changes the global flow of theology. I have wandered around for 60 years looking for alternatives and have now settled on s project, a critique of the Summa which will serve, I hope, to illustrate the revisions I see required to set theology on a new path.

Yesterday was the fifth anniversary of the death of my

[page 241]

unshakeably Catholic mother who set me on my path through life. It is in honour of her that I feel constrained to correct the delusions propagated by the Roman Catholic Church by revising the foundations laid down by Aquinas.

Kaku, God Equation page 1: 'The challenge was to write an equation whose mathematical elegance would encompass the whole of physics'. An entropy problem here: Chaitin, Ashby. Michio Kaku (2021), Gregory J. Chaitin: Gödel's Theorem and Information, W Ross Ashby (1964): An Introduction to Cybernetics

page 2: 'many think we are converging on the final solution . . . a la Hitler, kill everything.

page 3: Kaku → string theory

page 4: 'all the wonders of modern technology owe their origin to the scientists who discovered the fundamental forces of the world. Have they improved the religion and the politics?

page 5: 'after all the hype and frenzy, real progress has stalled' - no evidence. String theory → mutitude of universes,

page 6; This book → balanced objective analysis of string theory's breakthroughs and limitations.

Quantum mechanics explains the Trinity because god interferes with itself like a photon going through two slits!

[page 242]

Wednesday 26 May 2021

More Kaku: page 128: Ober's paradox.

page 129: Edgar Allen Poe ' The night sky is black because the universe has a finite age.' Olbers' paradox - Wikipedia

'So it is truly amazing that by pure thought [ie looking for consistency] without doing any experiments whatever [apart from measuring the velocity of light and the size and age of the universe] one can conclude that the universe had a beginning.'

Thursday 27 May 2021
Friday 28 May 2021

Time is the space between actions.

Christianity paints a fantasy world which has been shared by billions of people over two millennia. Kaku's book reminds me of Christianity in that his favourite horse, string theory, is a complex mathematical tale fantastic and difficult to comprehend which seems to have shown so far no contact with reality. All it has done, for some people, is take some inconsistencies out of quantum field theory which, despite its many practical successes also seems to be a fantasy shared by physicists who have wandered far from reality.

The fundamental error reflecting Parmenides' god and Plato's forms is the creation of a geometric continuum which seems to be static and formally impossible, inhabited by continuous motion whose reality is modelled by calculus. It is from this false substrate

[page 243]

forced on a dynamic universe that all our infinities and other difficulties appear to rise. This is why I have gone back to the reappraisal of the quantum of action, a model of the ancient god which is pure action, revealing that like God an action is a discrete entity, calm and complete, in no way related o the notion of the seething vacuum that quantum field theory has invented. The root of the truth, I feel, is that information is physical and can only exist if encoded in discrete physical representatives that are in effect like gods with all the properties of the classical God [revealed by the identity of the classical god and the initial singularity]. How to make the universe out of them remains beyond me, but I hope that by working through the Summa from cover to cover my eyes will eventually open. While I am doing this I will work my way through Kaku's book and try to see if it helps at all, although all the stuff about 11 dimensional M theory strikes me as too complex to describe the universe made from an absolutely simple God. As usual, sleep on it. Michio Kaku (1998): Introduction to Superstrings and M-Theory

The world is pure dynamism, but because it is dynamic it has stationary points which are identified by the eigenvalue equation, and we can identify these stationary points with quanta of action, with gods [Thales said the world is full of gods?]. Kaku goes on about the god equation. It is not a formal equation, it is an action, the quantum of action, the fundamental empty symmetry of the world from which all other symmetries, ie fixed points, are constructed. Thales of Miletus - Wikipedia, Ronald Polansky: Aritsotle's De Anima

A quantum of action is a fixed point a particle, a relationship which we represent by a differential operator. The operators are the primary entities on the world, not the rods clocks or times but the relationships from which the world is built, like the Trinity.

[page 243]

Einstein failed in the end because he could not believe that the world is quantized and so put his faith in continuous mathematics and could not work out how to wrangle it to give particles. He might have done better to heed Whitehead and Russell and his friend Gödel and see that the world is constructed from discrete logical operators from which we can build a version of mathematics that couples discreteness and consistency to yield incompleteness and incomputability. Whitehead & Russell: Principia Mathematica, Kurt Gödel: Kurt Gödel: Collected Works Volume 1 Publications 1929-1936

Here in the Summa I, 21, 3-4 we find Aquinas struggling to dress the world's most vicious god in the trappings of mercy. The Father who killed his own Son, since it was the honourable thing to do to gain satisfaction for a fleabite from the first people who exercised their curiosity and free will against his express command. Satan put it very clearly. "Eat of the tree of life and you will be like god". The god who said "I am the Lord your God, you shall have no other gods before me" could not handle that so a human had to die. Aquinas, Summa, I, 21, 3: Is there mercy in God?

Saturday 29 May 2020

Science and mental health: what is the cost of believing fantasies like Christianity, Trump's notion that he won the election, etc etc? Reality rules us insofar as it formed us by natural selection [fit reality or die]. The role of science and art across the spectrum from science to all forms of technology up to religion is to keep us alive and sane. I still like the idea that religion is the technology of peace both physical and mental. It is a pity that so much peace is maintained

[page 245]

by violence spin and fantasy like heaven and hell [I as just normally stupid to believe that masturbation would send me to hell!].

Idato: One would love to become a theological David Attenborough if only I knew how. The foundation is there and the commentary on Aquinas is a path toward the work. Michael Idato: New Attenborough series will ruffle feathers – and then offer solutions

Insofar as the universe is a mind, mental illness might be a problem and we could identify common mode failures like Trumpism, Hitlerism, Maoism, Stalinism etc etc with something like epileptic seizures.

The 'final cause' is the principal tool of the 'top down' approach to politics, imagining some goal and using it to construct behaviour toward reaching that goal [like the construction of "Soviet Man"]. The goal of Christianity is beatitude, the carrot at the end of the stick and given this goal, the powers that be then define the class of behaviour that will lead us closer to and further from the goals that they have defined. So the whole meaning of Aquinas's work can be found in the prima secundae setting out to return to the paradise that was taken from us so long ago by an angry and vindictive god. Homo Sovieticus - Wikipedia, Aquinas, Summa, I, II, 1: It is proper for us to act for an end?

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Further reading

Books

Aristotle, and H Rackham (translator), Aristotle, XIX, Nichomachean Ethics, Loeb Classical Library 1934 ' . . . This book opened my eyes to the true meaning of "Philosophy". The translation is in modern English, free from the back-to-front syntax of the Ancient Greek text (which makes it impossible to understand the meaning of a sentence until you reach the end of it!). The subject matter is "Ethics". However, a modern author may have called it something more akin to "The Meaning of Life" or "The Art of Living". Aristotle proceeds with simple and clear logic, to reveal the objective of human struggle in this life. He demonstrates a deep understanding of the Human Being, what we are and what we are not, what makes us act in one way or another and what makes us feel joy or distress. He addresses anxienties of the modern human, such as the question of nature or nurture, the moral action versus the practical, violence versus non-violence. His recommendations for living this life in a manner that is meaningfull and rewarding are profound yet simple.. . . ' Agis Liberakis 
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Ashby (1964), W Ross, An Introduction to Cybernetics, Methuen 1956, 1964 'This book is intended to provide [an introduction to cybernetics]. It starts from common-place and well understood concepts, and proceeds step by step to show how these concepts can be made exact, and how they can be developed until they lead into such subjects as feedback, stability, regulation, ultrastability, information, coding, noise and other cybernetic topics.' 
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Feferman, Anita Burdman, and Solomon Feferman, Alfred Tarski: Life and Logic, Cambridge University Press 2004 Review "A chain smoker, a heavy drinker, a frequent user of 'speed', a relentless womaniser, and a man of Napoleonic self-regard and worldly ambition. This is not how one pictures an eminent Professor of Logic. And yet, this is how the great logician, Alfred Tarski, emerges from this marvellous biography. The Fefermans, of course, are uniquely qualified to lead the reader through the intricacies of Tarski's work, which they do very engagingly and with great expository skill. Tarski's colourful personality is conveyed with prose that is economical, superbly readable and extremely vivid, and the whole book is a joy to read." Ray Monk, Professor of Philosophy, University of Southampton 
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Feynman, Richard P, and Albert P Hibbs, Quantum Mechanics and Path Integrals, McGraw Hill 1965 Preface: 'The fundamental physical and mathematical concepts which underlie the path integral approach were first developed by R P Feynman in the course of his graduate studies at Princeton, ... . These early inquiries were involved with the problem of the infinite self-energy of the electron. In working on that problem, a "least action" principle was discovered [which] could deal successfully with the infinity arising in the application of classical electrodynamics.' As described in this book. Feynman, inspired by Dirac, went on the develop this insight into a fruitful source of solutions to many quantum mechanical problems.  
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Fowles, John, The Collector, Back Bay Books 1997 Amazon Product Description 'The Collector (1963) is disturbing, engrossing, unforgettable -- the story of an obsessive young man and the girl he kidnaps and holds prisoner in his cellar.' 
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Gödel, Kurt, and Solomon Feferman et al (eds), Kurt Gödel: Collected Works Volume 1 Publications 1929-1936, Oxford UP 1986 Jacket: 'Kurt Goedel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory and the consistency of the axiom of choice and the continuum hypotheses. ... The first volume of a comprehensive edition of Goedel's works, this book makes available for the first time in a single source all his publications from 1929 to 1936, including his dissertation. ...' 
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Kaku (1998), Michio, Introduction to Superstrings and M-Theory (Graduate Texts in Contemporary Physics) , Springer 1998 ' Called by some "the theory of everything," superstrings may solve a problem which has eluded physicists for the past 50 years -- the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. This is a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentation, including: string field theory, multi loops, Teichmueller spaces, conformal field theory, and four-dimensional strings. The book begins with a simple discussion of point particle theory, and uses the Feynman path integral technique to unify the presentation of superstrings. Prerequisites are an aquaintance with quantum mechanics and relativity. This second edition has been revised and updated throughout.' 
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Kaku (2021), Michio, The God Equation: The Quest for a Theory of Everything , Doubleday 2021 ' This is the story of a quest: to find a Theory of Everything. Einstein dedicated his life to seeking this elusive Holy Grail, a single, revolutionary 'god equation' which would tie all the forces in the universe together, yet never found it. Some of the greatest minds in physics took up the search, from Stephen Hawking to Brian Greene. None have yet succeeded. In The God Equation, renowned theoretical physicist Michio Kaku takes the reader on a mind-bending ride through the twists and turns of this epic journey: a mystery that has fascinated him for most of his life. He guides us through the key debates in modern physics, from Newton's law of gravity via relativity and quantum mechanics to the latest developments in string theory. It is a tale of dazzling breakthroughs and crushing dead ends, illuminated by Kaku's clarity, storytelling flair and infectious enthusiasm.  
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Kolmogorov, Andrey Nikolaevich, 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 in complete 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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Maxwell, James Clerk, The Scientific Papers of James Clerk Maxwell Volume 2, Dover Phoenix Editions 2003 Amazon Product Description 'One of the greatest theoretical physicists of the 19th century, James Clerk Maxwell is best known for his studies of the electromagnetic field. These 101 scientific papers, arranged chronologically in two volumes, testify to Maxwell's scientific legacy and offer modern students of mathematics and physics stimulating reading. 197 figures. 39 tables. 1890 edition.'

'Though in the course of ages catastrophes have occurred and may yet occur in the heavens, through ancient systems may be dissolved and new systems evolved out of their ruins, the molecules out of which these systems are built -- the foundation stones [states] of the universe remain unbroken and unworn. They continue this day, as they ere created, perfect in number and measure and weight.' pp 376-77 
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McKeon, Richard, and (editor), The Basic Works of Aristotle, Random 1941 Introduction: 'The influence of Aristotle, in the ... sense of initiating a tradition, has been continuous from his day to the present, for his philosophy contains the first statement, explicit or by opposition, of many of the technical distinctions, definitions, and convictions on which later science and philosophy have been based...' (xi) 
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Nixon, Richard Milhous, The Memoirs of Richard Nixon, Buccaneer Books 1994 Amazon editorial review: 'Former President Richard Nixon's bestselling autobiography is an intensely personal examination of his life, public career, and White House years. With startling candor, Nixon reveals his beliefs, doubts, and behind-the-scenes decisions, and sheds new light on his landmark diplomatic initiatives, political campaigns, and historic decision to resign from the presidency. Throughout his career, Richard Nixon made extensive notes about his ideas, conversations, activities, and meetings. During his presidency, from November 1971 until April 1973, and again in June and July 1974, he kept an almost daily diary of reflections, analyses, and perceptions. These notes and diary dictations, which are quoted throughout this book, provide a unique insight into the complexities of the modern presidency and the great issues of American policy and politics.' 
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Pais, Abraham, 'Subtle is the Lord...': The Science and Life of Albert Einstein, Oxford UP 1982 Jacket: In this . . . major work Abraham Pais, himself an eminent physicist who worked alongside Einstein in the post-war years, traces the development of Einstein's entire ouvre. . . . Running through the book is a completely non-scientific biography . . . including many letters which appear in English for the first time, as well as other information not published before.' 
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Pais, Abraham, Inward Bound: Of Matter and Forces in the Physical World, Clarendon Press, Oxford University Press 1986 Preface: 'I will attempt to describe what has been discovered and understood about the constituents of matter, the laws to which they are subject and the forces that act on them [in the period 1895-1983]. . . . I will attempt to convey that these have been times of progress and stagnation, of order and chaos, of belief and incredulity, of the conventional and the bizarre; also of revolutionaries and conservatives, of science by individuals and by consortia, of little gadgets and big machines, and of modest funds and big moneys.' AP 
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Perloth, Nicole, This Is How They Tell Me the World Ends: The cyber Weapons Race, Bloomsbury 2021 ' This book is the product of more than seven years of interviews with more than three hundred individuals who have participated in, tracked, or been directly affected by the underground cyberarms industry. These individuals include hackers, activists, dissidents, academics, computer scientists, American and foreign government officials, forensic investigators, and mercenaries.' 
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Rawson, Philip, Tantra: Indian Cult of Ecstasy, Crescent 1988 Jacket: 'Suggesting as its final goal a vision of cosmic sexuality, Tantra embodies fundamental patterns of symbolic expression in a view of life which offers a uniquely successful antidote to the anxieties of our time. The act of creation is continuous: therefore sexual intercourse between human beings can be a microcosmic representation of the creative process -- a symbolic tribute to the great Goddess from whose womb, and through whose wisdom, all things in the Universe are manifested in Time.' 
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Tarski, Alfred, Cardinal Algebras, Oxford University Press 1949 'This book is an axiomatic investigation of the novel types of algebraic systems which arise from three sources: the arithmetic of cardinal numbers; the formal properties of the direct product decompositions of algebraic systems; the algebraic aspects of invariant measures, regarded as functions on a field of sets. ... The book is replete with novel algebraic notions; it is written in logical style; all theorems (important and unimportant) are explicitly stated, and the proofs are carefully cross-referenced.' Saunders MacLane 
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Tymoczko, Thomas, New Directions in the Philosophy of Mathematics: An Anthology, Princeton University Press 1998 Jacket: 'The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. ... By bringing together essays of leading philosophers, mathematicians, logicians and computer scientists, TT reveals an evolving effort to account for the nature of mathematics in relation to other human activities.' 
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van der Waerden, B L, Sources of Quantum Mechanics, Dover Publications 1968 Amazon Book Description: 'Seventeen seminal papers, dating from the years 1917-26, in which the quantum theory as wenow know it was developed and formulated. Among the scientists represented: Einstein,Ehrenfest, Bohr, Born, Van Vleck, Heisenberg, Dirac, Pauli and Jordan. All 17 papers translatedinto English.' 
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Whitehead, Alfred North, and Bertrand Arthur Russell, Principia Mathematica (Cambridge Mathematical Library), Cambridge University Press 1910, 1962 The great three-volume Principia Mathematica is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premisses and primitive ideas, and so to prove that mathematics is a development of logic. Not long after it was published, Goedel showed that the project could not completely succeed, but that in any system, such as arithmetic, there were true propositions that could not be proved.  
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Papers

Born, Max, Werner Heisenberg and Paul Jordan, "Zur Quantenmechanik II (On quantum mechanics II)", Zeitschrift fur Physiks, 35, , received November 16, 1925, page 557 - . Translation available in van der Waerden, B L, Sources of Quantum Mechanics, Dover Publications 1968 . back

Callen, Herbert B, Tjheodore A Welton, "Irreversibility and generalized noise", Physical Review, 83, 1, 1951, page 34-40. 'A relation is obtained between the generalized resistance and the fluctuations of the generalized forces in linear dissipative systems. This relation forms the extension of the Nyquist relation for the voltage fluctuations in electrical impedances. The general formalism is illustrated by applications to several particular types of systems, including Brownian motion, electric field fluctuations in the vacuum, and pressure fluctuations in a gas.'. back

Nyquist, Harry, "Thermal Agitation of Electric Charge in Conductors", Physical Review, 32, 1, 1928, page 110-113. 'The electromotive force due to thermal agitation in conductors is calculated by means of principles in thermodynamics and statistical mechanics. The results obtained agree with results obtained experimentally.'. back

Links

Andrew Anthony, Theoretical physicist Chiara Marletto: ‘The universal constructor could revolutionise civilisation’, ' Chiara Marletto is a research fellow at Wolfson College, University of Oxford. Her research is in theoretical physics – especially quantum computation, thermodynamics and information theory. Her broader interests include theoretical biology, epistemology and Italian literature. The Science of Can and Can’t: A Physicist’s Journey Through the Land of Counterfactuals attempts to forward a new foundational basis for physics. It is her first non-academic book.' back

Anna Malos & Coral Bravo, Wondering if your energy company takes climate change seriously? A new report reveals the answer , ' For the first time, the International Energy Agency (IEA) declared reaching net-zero emissions by 2050 means no new investments in fossil fuel supply projects. . . . Australia’s path to a clean energy economy has not been perfectly smooth. A lack of federal leadership on climate policy and a historical dependence on fossil fuels means the IEA’s roadmap presents a big challenge for Australia. Our latest report released today underscores how big a challenge this is. We assessed Australia’s highest-emitting energy firms and found none were fully or even closely aligned with global climate goals. Just one went even partway, and five appeared to be taking no action at all.' back

Aquinas, Summa, I, II, 1, It is proper for us to act for an end?, 'I answer that, Of actions done by man those alone are properly called "human," which are proper to man as man. Now man differs from irrational animals in this, that he is master of his actions. Wherefore those actions alone are properly called human, of which man is master. . . . But the object of the will is the end and the good. Therefore all human actions must be for an end.' back

Aristotle, , The Internet Classics Archive | On Generation and Corruption by Aristotle, 'Written 350 B.C.E , Translated by H. H. Joachim. ... 'Our next task is to study coming-to-be and passing-away. We are to distinguish the causes, and to state thedefinitions, of these processes considered in general-as changes predicable uniformly of all the things that come-to-be and pass-away by nature. Further, we are to study growth and 'alteration'. We must inquire what each of them is; and whether 'alteration' is to be identified with coming-to-be, or whether to these different names there correspond two separate processes with distinct natures.'' back

Baazil.Miller & Hurst , Shell Loses Climate Case That May Set Precedent for Big Oil, ' Royal Dutch Shell Plc was ordered by a Dutch court to slash its emissions harder and faster than planned, a ruling that could have far-reaching consequences for the rest of the global fossil fuel industry. Shell, which said it expects to appeal the ruling, has pledged to reduce its greenhouse gas emissions by 20% within a decade, and to net-zero before 2050. That’s not enough, a court in The Hague ruled Wednesday, ordering the oil producer to slash emissions 45% by 2030 compared to 2019 levels.' . . . Shell’s total greenhouse gas emissions were 1.65 billion tons of carbon dioxide equivalent in 2019, around the same as Russia, the world’s fourth-largest polluter.' back

Being There - Wikipedia, Being There - Wikipedia, the free encyclopedia , 'Being There is a 1979 American comedy-drama film directed by Hal Ashby, adapted from the 1971 novella written by Jerzy Kosiński. The film stars Peter Sellers, Shirley MacLaine, Melvyn Douglas, Jack Warden, Richard A. Dysart, and Richard Basehart. Douglas won the Academy Award for Best Actor in a Supporting Role and Sellers was nominated for Best Actor in a Leading Role. This was the last Peter Sellers film to be released while he was alive.' back

Dakini - Wikipedia, Dakini - Wikipedia, the free encyclopedia, 'A dakini (Sanskrit: डाकिनी ḍākinī; Tibetan: མཁའ་འགྲོ་མ་ khandroma, Wylie: mkha' 'gro ma, TP: kandroma; Chinese: 空行女) is a tantric deity described as a female embodiment of enlightened energy. In the Tibetan language, dakini is rendered khandroma which means 'she who traverses the sky' or 'she who moves in space'. Sometimes the term is translated poetically as 'sky dancer' or 'sky walker'.' back

Differential operator - Wikipedia , Differential operator - Wikipedia, the free encyclopedia, ' In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function in computer science). This article considers mainly linear operators, which are the most common type. However, non-linear differential operators, such as the Schwarzian derivative also exist.' back

Elaine Ou, Cybersecurity Secrecy Keeps Doors Open for Hackers, ' The lack of transparency is not just the fault of corporate public relations. Software vulnerabilities are often kept secret for national security purposes. Nobody likes to talk about it, but the U.S. government exploits security flaws all the time for intelligence-gathering and counterterrorism measures. The National Security Agency and Central Intelligence Agency notoriously stockpile hacking tools, many of which have fallen into the wrong hands. In 2019, hackers used a leaked NSA exploit to disrupt government services in Baltimore. ' [Nicole Perloth: This Is How They Tell Me the World Ends: The cyber Weapons Race] back

Fluctuation dissipation theorem - Wikipedia, Fluctuation dissipation theorem - Wikipedia, the free encyclopedia, 'In statistical physics, the fluctuation dissipation theorem is a powerful tool for predicting the non-equilibrium behavior of a system — such as the irreversible dissipation of energy into heat — from its reversible fluctuations in thermal equilibrium. The fluctuation dissipation theorem applies both to classical and quantum mechanical systems. Although formulated originally by Nyquist in 1928, the fluctuation-dissipation theorem was first proved by Herbert B. Callen and Theodore A. Welton in 1951.

The fluctuation dissipation theorem relies on the assumption that the response of a system in thermodynamic equilibrium to a small applied force is the same as its response to a spontaneous fluctuation. Therefore, there is a direct relation between the fluctuation properties of the thermodynamic system and its linear response properties. Often the linear response takes the form of one or more exponential decays.' back

Gregory J. Chaitin, 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

Homo Sovieticus - Wikipedia, Homo Sovieticus - Wikipedia, the free encyclopedia, ' Homo Sovieticus (Dog Latin for "Soviet Man") is a sarcastic and critical reference to an average conformist person in the Soviet Union and other countries of the Eastern Bloc. The term was popularized by Soviet writer and sociologist Aleksandr Zinovyev, who wrote the book titled Homo Sovieticus. Michel Heller asserted that the term was coined in the introduction of a 1974 monograph "Sovetskye lyudi" ("Soviet People") to describe the next level of evolution of humanity thanks to the success of Marxist social experiment. In a book published in 1981, but available in samizdat in the 1970s, Zinovyev also coined an abbreviation homosos (гомосос, literally a homosucker).' back

Mansur Mirovalev, Why Belarus risked the wrath of the world to arrest an activist, ' Belarusian President Alexander Lukashenko scrambled a military jet to forcibly land a passenger airliner on Sunday night because of a “bomb report” that turned out to be fake. The Lithuania-bound Ryanair flight had to divert to the Belarusian capital, Minsk, where police arrested journalist Roman Protasevich for his alleged involvement in “extremism”. “They’ll execute me here,” the horrified Protasevich reportedly told a fellow passenger as law enforcement officers were about to take him away.' back

Michael Idato, New Attenborough series will ruffle feathers – and then offer solutions, ' But the show’s final episode takes on a fifth force of nature: us. “One so powerful it is upsetting the balance of life on Earth and threatening our perfect planet,” the program’s marketing material declares. It is a characterisation that will ruffle some feathers in a world seemingly full of climate change deniers but one which executive producer Alastair Fothergill defends on the very simple basis of science. “We’re not in the campaigning business,” Fothergill says. “There are others that do that. Our role is to put the science in front of people. That’s very much what we wanted to do. We wanted to explain how there is clear evidence that the forces of nature, the balance of nature, has been upset, but also, we wanted to give very positive examples of solutions.' back

Olbers' paradox - Wikipedia, Olbers' paradox - Wikipedia, the free encyclopedia, 'In astrophysics and physical cosmology, Olbers' paradox, named after the German astronomer Heinrich Wilhelm Olbers and also called the "dark night sky paradox", is the argument that the darkness of the night sky conflicts with the assumption of an infinite and eternal static universe. The darkness of the night sky is one of the pieces of evidence for a non-static universe such as the Big Bang model. If the universe is static and populated by an infinite number of stars, any sight line from Earth must end at the (very bright) surface of a star, so the night sky should be completely bright. This contradicts the observed darkness of the night.' back

Piety - Wikipedia, Piety - Wikipedia, the free encyclopedia, 'The word piety comes from the Latin word pietas, the noun form of the adjective pius (which means "devout" or "good"). Pietas in traditional Latin usage expressed a complex, highly valued Roman virtue; a man with pietas respected his responsibilities to other people, gods and entities (such as the state), and understood his place in society with respect to others.' back

Pontifical Catholic University of Chile - Wikipedia, Pontifical Catholic University of Chile - Wikipedia,.the free encyclopedia, 'The Pontifical Catholic University of Chile (UC or PUC) (Spanish: Pontificia Universidad Católica de Chile) is one of the six Catholic Universities existing in the Chilean university system and one of the two Pontifical Universities in the country, along with the Pontifical Catholic University of Valparaíso. It is also one of Chile's oldest universities and one of the most recognized educational institutions in Latin America. Since it is a Pontifical University, it has always had a strong and very close relationship with the Vatican. It was founded on June 21, 1888 through a decree issued by the Santiago Archbishop. Its first chancellor was Monsignor Joaquín Larraín Gandarillas, and at the very beginning, the university only taught two subjects, law and mathematics. It is part of the Universities of the Rectors' Council of Chilean Universities, and although it is not state-owned, a substantial part of its budget is given by state transferences under different concepts.' back

Ran Porat, Benjamin Netanyahu was on the brink of political defeat. Then, another conflict broke out in Gaza, ' Despite a ceasefire, the tragedy is neither side presents an end game to work towards. Israel’s next government will likely be right-wing, either under Netanyahu or someone else. Over the past few decades, such governments have leaned towards managing, not resolving, the conflict. On the Palestinian side, everyone is waiting for the chairman of the Palestinian Authority, 86-year-old Mahmoud Abbas, to exit the stage. Seen as increasingly corrupt and with no legitimacy to govern, he offers no vision for a solution of the conflict. Hamas, PIJ and their allies remain staunchly committed to fundamentalist religious ideologies that reject Israel’s right to exist, with zero willingness to compromise.' back

René Thom - Wikipedia, Rene Thom - Wikipedia, the free encyclopedia, René Frédéric Thom (September 2, 1923 – October 25, 2002) was a French mathematician. He made his reputation as a topologist, moving on to aspects of what would be called singularity theory; he became world-famous among the wider academic community and the educated general public for one aspect of this latter interest, his work as founder of catastrophe theory (later developed by Erik Christopher Zeeman). He received the Fields Medal in 1958.' back

Ronald Polansky, Aritsotle's De Anima, ' Aristotle’s De anima is the first systematic philosophical account of the soul, which serves to explain the functioning of all mortal living things. In his commentary, Ronald Polansky argues that the work is far more structured and systematic than previously supposed. He contends that Aristotle seeks a comprehensive understanding of the soul and its faculties. By closely tracing the unfolding of the many-layered argumentation and the way Aristotle fits his inquiry meticulously within his scheme of the sciences, Polansky answers questions relating to the general definition of soul and the treatment of each of the soul’s principal capacities: nutrition, sense perception, phantasia, intellect, and locomotion.' back

Rowan Flad, It’s a golden age for Chinese archaeology — and the West is ignoring it, ' So we treat high-profile finds in Egyptian archaeology as a thread of the story of us, while we see Chinese archaeology as unrelated to American civilization. But that view is mistaken. Roughly 6 percent of Americans identify as ethnically Asian; that population is part of the American story and so, therefore, is the history of civilization in East Asia. And all ancient civilizations are part of human history and deserve to be studied and discussed on their own merits, not based on their geographical or supposed cultural connection to the Greece-Rome-Europe lineage that has long dominated the study of history in the West.' back

Rudolf Clausius - Wikipedia, Rudolf Clausius - Wikipedia, the free encyclopedia, 'Rudolf Julius Emanuel Clausius (Born Rudolf Gottlieb,[1] January 2, 1822 – August 24, 1888), was a German physicist and mathematician and is considered one of the central founders of the science of thermodynamics.[2] By his restatement of Sadi Carnot's principle known as the Carnot cycle, he put the theory of heat on a truer and sounder basis. His most important paper, On the mechanical theory of heat, published in 1850, first stated the basic ideas of the second law of thermodynamics. In 1865 he introduced the concept of entropy.' back

Samir Nazareth, How India’s efforts to put a positive spin on its Covid-19 crisis lie at the heart of the disaster, ' The government is seeking to starve the country of stories about the lack of oxygen, hospital beds and crematorium space, and filling the vacuum with optimistic histrionics Ever since the BJP announced Modi as its prime ministerial candidate in 2013, a wave of optimism has accompanied him like a dark cloud.' back

Thales of Miletus - Wikipedia, Thales of Miletus - Wikipedia, the free encyclopedia, ' Thales of Miletus (Greek: Θαλῆς (ὁ Μιλήσιος), c. 624/623 – c. 548/545 BC) was a Greek mathematician, astronomer and pre-Socratic philosopher from Miletus in Ionia, Asia Minor. He was one of the Seven Sages of Greece. Many, most notably Aristotle, regarded him as the first philosopher in the Greek tradition, and he is otherwise historically recognized as the first individual in Western civilization known to have entertained and engaged in scientific philosophy.
Thales was a hylozoist (one who thinks that matter is alive, i.e. containing soul(s). Aristotle wrote (De Anima 411 a7-8) of Thales: " Thales thought all things are full of gods." ' back

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