vol VII: Notes
2018
Notes
Sunday 1 July 2018 - Saturday 7 July 2018
[Notebook: DB 82: Life and Death]
[page 171]
Sunday 1 July 2018
Lonergan — Metaphysics — the integral heuristic structure of proportionate being. A sort of panpsychic ansatz. The beauty of panpsychism is that it opens the way to the persistent philosophical analogy between human personal experience and the nature of the world, since everything experiences the same phenomenon of being trapped in a closed system longing to escape. This is the potential
[page 172]
that drives the search for freedom and it is scale invariant so the search for the Arab Spring and the backlash from the prison guards of the status quo like Bashar al Assad and Donald Trump is but one example of the scale invariant force that imprisoned Einstein in his long search for the field equations of general relativity. Lonergan: Insight: A Study of Human Understanding, Albert Einstein: Origins of the General Relativity Theory
Lonergan, faithful to the religion in which he as imprisoned argued that the world is unintelligible so that there was no way out except the post mortem option offered by the Catholic Church, Islam and all the other religions that propose the vision of a perfect world after death.
The forces of reaction mean that we are always in a struggle, but like the 'Wizard War' there is an opening to an easier win if we understand the possibilities of our divine world. We basically have to learn that power becomes from below, not from above and that the source of power is possibility, the sort of vision opened up by Ocasio-Cortez and many other politicians and visionaries. Where most of them fall down [is] by overlooking practical details of their dream. We know that the implementation of any technology requires an enormous amount of attention to detail that is no so obvious in the original dream, like Edison's incandescent lp and all the iterations of lighting technology that have followed. Incandescent light bulb - Wikipedia, Alexandria Ocasio-Cortez - Wikipedia, Jones: Wizard War: British Scientific Intelligence 1939-1945
Why would God (or the initial singularity) want to explode? We have a story to go from act to energy via the not operator but we are a bit stymied by the fact that quantum mechanics
[page 173]
appears to operate at constant entropy. This is true of the wave equation, but what happens when we introduce measurement? Then we have a situation a bit like the procession of the Word, where God interacts with a copy of itself and we see this happening in a tensor product of God with itself. Time to learn some more quantum mechanics from Nielsen and Chuang. Aquinas, Summa, I, 27, 1: Is there procession in God?, Wojciech Hubert Zurek: Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical, Nielsen & Chuang: Quantum Computation and Quantum Information
We want to keep the [total] energy at zero by creating it as a bifurcation into potential and kinetic, so how do we make actus purus into T - V = 0? From a quantum point of view there is no absolute energy scale, only differences, ie the relativity of energy. [We might say that quantum mechanically both potential and kinetic energy translate into frequency, but in the classical realm, their overall sum is zero.]
Will, desire, potential. What does the universe want, a mechanism to complexify, which is space, memory, structure, potential? Stretch things apart in space and so generate enough energy to make a new particle. We need space and field to have potential. Creation of space creates potential. Where does electric force come in [strong force, weak force, gravitation]? We have used NOT, what about AND? [Beginning to see where philosophy might come into science as a source of hypotheses].
Does expansion create energy, or does energy create expansion? They play hard at football, but how does one play hard at thinking?
We are not so much interested in energy as in the actual logical behaviour, but if we are going to get anywhere we need increase in complexity and the route here is copying / communication / measurement. We can increase energy at the same time at constant energy per state, a bit like creating high energy with a cyclotron.
We need uncertainty, Gödel and Turing here. So we can work
[page 174]
from general principle rather than mechanical detail. But measurement is the mechanism, going to tensor product. The uncertainty comes from the non-correlation of the two operators measuring [eachother]. Here it is. Zurek.
Interaction lead to uncertainty, my plans can be deterministic but as soon as someone else is involved, doubt enters.
"Slings and arrows of outrageous fortune" = interaction. To be or not to be - Wikipedia
Monday 2 July
Tuesday 3 July 2018
So let us begin the big bang with the assumption that the entropy force splits the original quantum of action (god) into potential and kinetic energy, making way for a classical type of harmonic oscillator (no need for quantization here because no specific message content) which provides the foundation for quantum mechanics and general relativity to work together to set off the universe. This layer of the universe, the second, the Son, is ubiquitous throughout the universe and because here the Lagrangian is zero, we say that all possible processes are actualized only when the Lagrangian is zero and so the action is stationary also at zero. Another plausible little story to mull over as I drive out to see Dad.
Are words better than arithmetic for describing the world? Einstein's work is a triumph of applied arithmetic, creating a formal accounting structure which makes the arithmetic come out
[page 175]
right when we compare the observed inventory of the world with our computed inventory, the books balance. The test of double entry bookkeeping, inputs, outputs and storage. Double-entry bookkeeping system - Wikipedia
We have actus purus. Then time, energy, 1D space, potential-actual. To get energy we need an oscillator, so we need potential and kinetic, which means we need space for the potential and time for the kinetic, also space for the kinetic. What we want is a logical cycle, rather like the Internal Combustion engine, a cycle, maybe superposed cycles give us a standing wave, we want to break the standing wave into a duality. How do we assemble all these into a cycle? What is the logical cycle within it? We need a clock, ie some energy to set the place in motion, so NOT NOT NOT etc. We would like to think that the not operator is the first one to go into action [being the simplest]. NAND is all we need to make a computer, so can we make a universe? And it takes 2 inputs to give one output, which is a decreaser of entropy. Nielsen and Chuang, look at their list of operators. But we need measurements to increase entropy [so, according to Zurek, a transition from quantum to classical physics].
Wednesday 4 July 2018
All my hope lies in the simplicity approach, trying to build a universe from an omnino simplex beginning by guessing the order of appearance of different structures. The general principles are first the layered network, the simple layers being lower and more general [and appearing in the higher layers as symmetries or laws]. So we go from action to energy, and now we need some memory and a particle, ie communication, to increase entropy, so we look for a quantum harmonic oscillator, 2D spacetime with Lorentz metric and a photon, maybe modelled on the shield of the trinity. What is the logic here? Do we need a fermion and
[page 176]
a boson father and son being fermions, the spirit a boson? How many layers do we need to get to 4D spacetime with some paticles? We need some communicatin and particles to get to the complexity of 4D spacetime. Quantum harminic oscillator is just a boson state, or does it need a [bound] fermion[s] to allow changes in photon energy? Shield of the Trinity - Wikipedia
Entropy of pure act, 1 state, 0 entropy. Then 2 states, entropy 1.Pure act = empty set, entropy 0, set ∅ = { }. The we go to {{ }}, entropy 1. Extra structure is contained in the original empty set, which grows some internal structure. Pseufo-Dionysius would like God to be an empty set. Pseudo-Dionysius the Areopagite - Wikipedia
May be next step is to implement boolean algebra. The aim for simplicity always gets mired in complexity!! So many possibilities in this 14E9 yo universe.
May be the way to go is the interpretation of quantum mechanical systems, 1, 2, 3, . . . state, ie a growing space of basis vectors. How do we make a minkowski space with quantum mechanics?
How do we express the axioms of boolean algebra in quantum operators?
'Any state can be represented by a linear combination of basis states (FLP III:8). Feynman, Leighton & Sands FLP III: Chapter 8: The Hamiltonian Matrix
[page 177]
This is not logical but continuous, and it works. So is the continuum pre-logical, no markers, no entropy, and does the same go for gravitation?
Here we seem to be in a region of maximum cognitive dissonance, perhaps hoping that there we will find a maximum cognitive breakthrough, ie a symmetry. We are trying to see the relationship between the most powerful symmetry in mathematics and physics [ie continuity] and the emergence of determinate structure which depends totally on breaking symmetries into unique instantiations. Neuenschwander: Emmy Noether's Wonderful Theorem
Thursday 5 July 2018
Trying to do the impossible. Why not give up? Because out in the realm of uncertainty (incomplete and incomputable) you never know what you will find. I have time, a living and a strong motivation to replace our mythological past with a scientific future, which to me comes down to a divine world and scientific theology. [A further motivation is that I can find nobody else working on this idea, so I need to do it until it is taken up by others.]
Continuity is the fundamental symmetry from which all the other [formal] symmetries in [mathematical] physics derive. It predates the emergence of structure, at least conceptually, and is a way of saying in logical terms that there is nothing to be seen, no symbol. It is analogous to the completely simple God. Dirac's delta function is in effect a model of the emergence of a symbol [with probability 1] from a continuum. Dirac delta function - Wikipedia
Intelligence / insight is the conscious emergence of a symbol (an idea) out of the [mental] mist (continuum). So we can [formally] equate insight and
[page 178]
quantum measurement.
Quantum mechanics is very similar to the notion of the death of the author, the obverse of the emergence of the reader, insofar as it takes two systems (an interaction) to yield a result which is to a large degree unpredictable.
One of the weird ideas of quantum field theory is that the uncertainty principle creates [necessitates] energy, ie the zero point energy. Why should this be so? Uncertainty is simply uncertainty, yet it is considered to be a creative force. Rather in line with my view that incomputability and incompleteness [are] necessary for creativity, but I have been thinking of this in purely formal terms without thinking that it can actually create ½ℏω of energy. An argument against zero point energy is provided by the cosmological constant problem which sums the zero point energy of all the quantum harmonic oscillators in the universe to give us 10120 times too much energy [the wrongest bit of physics that was ever foaled]. Zero-point energy - Wikipedia, Cosmological constant problem - Wikipedia
How does a network come to a decision? How does insight work? By verification, ie two or more different routes to the same conclusion [closure].
Feynman III:8 Two state system has split frequency / energy.
[page 179]
Atom radiates because of entropy: Feynman III:7. Radiation and absorption go in the direction of increasing [entropy]. Feynman, Leighton & Sands FLP III:07
Maybe it is time to give up on digital to the core and accept the continuum picture, the mathematical equivalent of simplicity which is nevertheless given an addressing system by Gaussian coordinates and Hilbert spaces. Hilbert space and space-time both have orthogonal dimensions which give them some structure and perhaps now the digital idea should begin to focus on the orthogonality of the dimensions rather than the continuity of the manifolds.
Friday 6 July 2018
The problem facing me is trying to rewrite physics to fit in with my theological ideas. The motivation is to get concrete results to bolster my abstract ideas, following always the model of Einstein who was able to bring his intuitions about relativity to mathematical reality with actual calculations. I would like to be able to do that too, but am largely lost and can only cling to the ideas that the universe is just as self sufficient as God, in that both are the source of everything and we do not really know where either of the come from. Dad is dying now, and this floods my mind for the time being but I am hoping to come out the other side a little bit wiser. It has been a bit disappointing going back to quantum mechanics and seeing how impossible my project is, but then Einstein was not able to see how c + c = c which also looks a bit impossible, and so I know there is always (possibly) a way, if I actually know where I want to go.
Saturday 7 July 2018
Dad died at about 12.30 this morning
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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!)
Barnes, Peter, Capitalism 3.0: A Guide to Reclaiming the Commons, Berrett-Koehler Publishers 2006 Amazon Editorial Reviews
Book Description
'In Capitalism 3.0, Peter Barnes redefines the debate about the costs and benefits of the operating system known as the free market. Despite clunky features, early versions of capitalism were somewhat successful. The current model, however, is packed with proprietary features that benefit a lucky few while threatening to crash the system for everyone else. Far from being "free," the market is accessible only to huge corporations that reap the benefits while passing the costs on to the consumer. Barnes maps out a better way. Drawn from his own career as a highly successful entrepreneur, the author's vision of capitalism includes alternatives to the current profit-driven corporate approach, new legal entities, and a more responsible use of markets and property rights. Capitalism 3.0 offers viable solutions to some of the country's most pressing economic, environmental, and social concerns.'
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Chaitin, Gregory J, Information, Randomness & Incompleteness: Papers on Algorithmic Information Theory, World Scientific 1987 Jacket: 'Algorithmic information theory is a branch of computational complexity theory concerned with the size of computer programs rather than with their running time. ... The theory combines features of probability theory, information theory, statistical mechanics and thermodynamics, and recursive function or computability theory. ... [A] major application of algorithmic information theory has been the dramatic new light it throws on Goedel's famous incompleteness theorem and on the limitations of the axiomatic method. ...'
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Cummins, Denise Dellarosa, and Colin Allen (editors), The Evolution of Mind, Oxford University Press 1998 Introduction: 'This book is an interdisciplinary endeavour, a collection of essays by ethologists, psychologists, anthropologists and philosophers united in the common goal of explaining cognition. . . . the chief challenge is to make evolutionary psychology into an experimental science. Several of the chapters in this volume describe experimental techniques and results consistent with this aim; our hope and intention is that they lead by example in the development of evolutionary psychology from the realm of speculation to that of established research program'
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Damasio, Antonio, Descartes Error: Emotion, Reason and the Human Brain, Avon Books 1995 Amazon Customer Review: 'Ever since the Renaissance roughly two different camps have existed. One (still the predominant paradigm today) is the rationalistic school represented by Descartes et al., the other represented by Hume, Rousseau et al. The latter group postulated a great many things about how emotions and feelings were important, but no proof could be produced at the time. With Antonio Damasio's book, however, we finally have the proof we have waited 400 years for! Emotions are indeed important, and the body and mind are not seperate entities but rather a united whole. This is not just a philosophical matter now, but a scientific theory corroborated by clinical evidence. Damasio even describes accurately just how these emotions and feelings influence and guide us. ... ' Jesper,
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Darwin, Charles, and Greg Suriano (editor), The Origin of Species, Gramercy 1998 Introduction: 'In considering the Origin of Species, it is quite conceivable that a naturalist, reflecting on the mutual affinities of organic beings, on their embryological relations, their geographical distribution, geological succession, and other such facts, might come to the conclusion that each species has not been independently created, but has descended, like varieties, from other species.'
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Dawkins, Richard, The God Delusion, Houghton Mifflin 2006 Amazon Editorial Review
From Publishers Weekly
'The antireligion wars started by Daniel Dennett and Sam Harris will heat up even more with this salvo from celebrated Oxford biologist Dawkins. For a scientist who criticizes religion for its intolerance, Dawkins has written a surprisingly intolerant book, full of scorn for religion and those who believe. But Dawkins, who gave us the selfish gene, anticipates this criticism. He says it's the scientist and humanist in him that makes him hostile to religions—fundamentalist Christianity and Islam come in for the most opprobrium—that close people's minds to scientific truth, oppress women and abuse children psychologically with the notion of eternal damnation. While Dawkins can be witty, even confirmed atheists who agree with his advocacy of science and vigorous rationalism may have trouble stomaching some of the rhetoric: the biblical Yahweh is "psychotic," Aquinas's proofs of God's existence are "fatuous" and religion generally is "nonsense." The most effective chapters are those in which Dawkins calms down, for instance, drawing on evolution to disprove the ideas behind intelligent design. In other chapters, he attempts to construct a scientific scaffolding for atheism, such as using evolution again to rebut the notion that without God there can be no morality. He insists that religion is a divisive and oppressive force, but he is less convincing in arguing that the world would be better and more peaceful without it.' Copyright © Reed Business Information, a division of Reed Elsevier Inc. All rights reserved.
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Deighton, Len, Winter: A Berlin Family 1899-1954, HarperCollins Publishers 1996 Amazon editorial review From Library Journal
'Brothers Peter and Paul Winter, separated by World War II, are reunited at the Nuremberg trials. Peter, a U.S. army colonel, is on the staff of prosecuting attorneys; Paul, a former influential Gestapo lawyer, may soon be on trial for his life. Through the Winter brothers, their influential financier father and American-born mother, their friends and colleagues, Deighton gives a recognizably human form to the shape of German history from 1900 through 1945 and makes comprehensible the awful appeal of Nazism to people of different persuasions. The somewhat contrived ending does not diminish the power of this fine novel, which again shows that Deighton's mastery is not limited to the spy story.' BOMC alternate. Charles Michaud, Turner Free Lib., Randolph, Mass.
Copyright 1988 Reed Business Information, Inc.
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Dennett, Daniel C, Breaking the Spell: Religion as a Natural Phenomenon, Penguin Viking 2006 Jacket: 'In this daring and important new book, DCD seeks to uncover the origins of this remarkable family of phenomena that means so much to so many people, and to discuss why--and how--they have commanded allegiance, become so potent and shaped so many lives so strongly. What are the psychological dnd cultural soils in which religion first took root? Is it an addiction or a genuine need that we should try to perserve at any cost? Is it the product of blind evolutionary instinct or rational choice? Do those who believe in God have good resons for doing so? Are people right to say that the best way to live the good life is through religion.
In a spirited argument that ranges through biology, history, and psychology, D explores how religion evolved from folk beliefs anbd how these early "wild" strains of religion were then carefully and consciously domesticated. At the motives pf religion's stewards entered this process, such features as secrecy, and systematic invulnberability to disproof emerged. D contends that this protective veneer of mystery needs to be removed so that religions can be better understood, and--more important--he argues that the widespread assumption that they are the necessary foundation of morality can no longer be supported. ... '
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Elliott, Mary, and (Foreword by Paul Ehrlich), Ground for Concern, Penguin Books 1977 Preface: 'This book is neither a political manifesto nor a textbook on nuclear power. It is a reasoned statement of the concern that Australians, and people throughout the world, feel about the prospects of a nuclear future. The authors have tried to grapple honestly with the problems of the atomic age, which is our age. They have tried to speak about complex matters in plain language.'
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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 infinte self-energy of the electron. In working on that problem, a "least action" principle was discovered [which] could deal succesfully with the infinity arising in the application of classical electrodynamics.' As described in this book. Feynam, inspired by Dirac, went on the develop this insight into a fruitful source of solutions to many quantum mechanical problems.
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Fodor, Jerry A, The Modularity of Mind, MIT Press 1983 Jacket: 'This monograph synthesizes current information from the various fields of cognitive science in support of a new and exciting theory of mind. Most psychologists study horizontal processes like memory. Fopdor postulates a vertical and modular psychological organisation underlying biologically coherent behaviours. This view of mental architecture is consistent with the historical tradition of faculty psychology while integrating a computational approach to mental processes. One of the most notable aspects of Fodor's work is that it articulates features not only of speculative cognitive architectures but also of current research in artificial intelligence.' Prof. Alvin Liberman, Yale University,
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Harris, Sam, The End of Faith: Religion, Terror and the Future of Reason , W. W. Norton 2005 From Publishers Weekly
'In this sometimes simplistic and misguided book, Harris calls for the end of religious faith in the modern world. Not only does such faith lack a rational base, he argues, but even the urge for religious toleration allows a too-easy acceptance of the motives of religious fundamentalists. Religious faith, according to Harris, requires its adherents to cling irrationally to mythic stories of ideal paradisiacal worlds (heaven and hell) that provide alternatives to their own everyday worlds. Moreover, innumerable acts of violence, he argues, can be attributed to a religious faith that clings uncritically to one set of dogmas or another. Very simply, religion is a form of terrorism for Harris. Predictably, he argues that a rational and scientific view—one that relies on the power of empirical evidence to support knowledge and understanding—should replace religious faith. We no longer need gods to make laws for us when we can sensibly make them for ourselves. But Harris overstates his case by misunderstanding religious faith, as when he makes the audaciously naïve statement that "mysticism is a rational enterprise; religion is not." As William James ably demonstrated, mysticism is far from a rational enterprise, while religion might often require rationality in order to function properly. On balance, Harris's book generalizes so much about both religion and reason that it is ineffectual.'
Copyright © Reed Business Information
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Hitchens, Christopher, God is Not reat: How Religion Poisons Everything, Twelve 2009 From Publishers Weekly
'Hitchens, one of our great political pugilists, delivers the best of the recent rash of atheist manifestos. The same contrarian spirit that makes him delightful reading as a political commentator, even (or especially) when he's completely wrong, makes him an entertaining huckster prosecutor once he has God placed in the dock. And can he turn a phrase!: "monotheistic religion is a plagiarism of a plagiarism of a hearsay of a hearsay, of an illusion of an illusion, extending all the way back to a fabrication of a few nonevents." Hitchens's one-liners bear the marks of considerable sparring practice with believers. Yet few believers will recognize themselves as Hitchens associates all of them for all time with the worst of history's theocratic and inquisitional moments. All the same, this is salutary reading as a means of culling believers' weaker arguments: that faith offers comfort (false comfort is none at all), or has provided a historical hedge against fascism (it mostly hasn't), or that "Eastern" religions are better (nope). The book's real strength is Hitchens's on-the-ground glimpses of religion's worst face in various war zones and isolated despotic regimes. But its weakness is its almost fanatical insistence that religion poisons "everything," which tips over into barely disguised misanthropy.'
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Hume, David
Hume, A Treatise on Human Nature, Oxford University Press, USA 2011 'Review from previous edition: "Useful far beyond the small circle of scholarly experts... The Treatise has a fair claim to be the most important and influential philosophical text ever written in English... After more than 250 years, Hume is still at the front line of philosophical inquiry... This edition belongs in any university or college library anywhere in the world, and its publication will certainly excite more than a murmur among philosophers and scholars." --Robert Callergard, Theoria'
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James, Lawrence , Raj: The Making and Unmaking of British India, The Softback preview 1998 Jacket: 'The Raj ... was always precarious. Its masters knew that it rested ultimately on the goodwill of the Indians, which was why pressure for self government was met with a mixture of compromise and sternness. The twists and turns of the struggle for independence are told with a wealth of fresh material. '
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Jones, R V, Wizard War: British Scientific Intelligence 1939-1945, Coward, McCann & Geoghegan 1978 Amazon customer review: 'This is a great book, because the writer was at the centre of what he writes about, he has humour, he presents enough scientific detail of the work to make it interesting and not tedious. For me the books principal charm is in the depiction of how intelligence officers in those days would get smudged phtographs, or one line radio intercepts from state of the art equipment that to us seems like something from a child's hobby kit, and would try to guess what was up on the other side. Kaushik Ghose
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Knox, Ronald, Let Dons Delight: Being Variations on a Theme in an Oxford Common Room, Sheed and Ward 1958 Jacket: When Mgr. Knox died, many of his panegyrists singled this book out as the best of its kind he ever wrote - which in this case is saying much. Certainy, he alone could have done it. To create eight sets of Simon Magus dons, from 1588 to 1938, conversing and arguing with eachother each in the very voice of his age and in terms of the topics of his day - for that you really have to know your Oxford, your dons, your history, classics and English literature.'back |
Landrecker, Hannah, Culturing Life: How Cells Became Technologies, Harvard University Press 2007 Review New Scientist : 'The discovery that it was possible to grow cells in a lab dish transformed them from being the immutable building blocks of individual bodies into plastic, malleable resources with a life of their own. In Culturing Life, anthropologist Hannah Landecker skillfully interweaves the scientific, historical, and cultural aspects of this transformation, and examines how cell culture challenges humanity's notions of individuality and immortality...An insightful and thought-provoking perspective on how technology has changed scientists' and society's understanding of life.'
--Claire Ainsworth
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Lonergan, Bernard J F, and Robert M. Doran, Frederick E. Crowe (eds), Verbum : Word and Idea in Aquinas (Collected Works of Bernard Lonergan volume 2), University of Toronto Press 1997 Jacket: 'Verbum is a product of Lonergan's eleven years of study of the thought of Thomas Aquinas. The work is considered by many to be a breakthrough in the history of Lonergan's theology ... . Here he interprets aspects in the writing of Aquinas relevant to trinitarian theory and, as in most of Lonergan's work, one of the principal aims is to assist the reader in the search to understand the workings of the human mind.'
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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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Muller, Jerry Z
Muller, Conservatism: An Anthology of Social and Political Thought from David Hume to the Present, Princeton University Press 1997 PUP: 'At a time when the label "conservative" is indiscriminately applied to fundamentalists, populists, libertarians, fascists, and the advocates of one or another orthodoxy, this volume offers a nuanced and historically informed presentation of what is distinctive about conservative social and political thought. It is an anthology with an argument, locating the origins of modern conservatism within the Enlightenment and distinguishing between conservatism and orthodoxy. Bringing together important specimens of European and American conservative social and political analysis from the mid-eighteenth century through our own day, Conservatism demonstrates that while the particular institutions that conservatives have sought to conserve have varied, there are characteristic features of conservative argument that recur over time and across national borders.'
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Neuenschwander, Dwight E, Emmy Noether's Wonderful Theorem, Johns Hopkins University Press 2011 Jacket: A beautiful piece of mathematics, Noether's therem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space or rotation will obey the laws of conservation of energy, linear momentum or angular momentum respectively. This exciting result offers a rich unifying principle for all of physics.'
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Nielsen, Michael A, and Isaac L Chuang, Quantum Computation and Quantum Information, Cambridge University Press 2000 Review: A rigorous, comprehensive text on quantum information is timely. The study of quantum information and computation represents a particularly direct route to understanding quantum mechanics. Unlike the traditional route to quantum mechanics via Schroedinger's equation and the hydrogen atom, the study of quantum information requires no calculus, merely a knowledge of complex numbers and matrix multiplication. In addition, quantum information processing gives direct access to the traditionally advanced topics of measurement of quantum systems and decoherence.' Seth Lloyd, Department of Quantum Mechanical Engineering, MIT, Nature 6876: vol 416 page 19, 7 March 2002.
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Pour-El, Marian B, and Jonathan I Richards, Computability in Analysis and Physics, Springer-Verlag 1989 Author's Preface: 'This book is concerned with the computability or noncomputability of standard processes in analysis and physics. ... The book is written for a mixed audience. Although it is intended primarily for logicians and analysts, it should be of interest to physicists and computer scientists ... The work is self-contained. ... The reasoning used is classical - i.e. in the tradition of classical mathematics. Thus it is not intuitionist or constructivist in the sense of Brouwer or Bishop.'
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Putnam, Robert D, and David E Campbell, American grace: How religion Divides Us and Unites Us, Simon & Schuster 2010 From Booklist: 'In recent controversy over the national motto, In God we trust, Putnam and Campbell see a symptom of profound change in the national character. Using data drawn from two large surveys, the authors plumb these changes. The data show that the tempestuous sixties shook faith in religion and that the seventies and eighties incubated a strong resurgence of devotion. But the two most recent decades add another twist, as young Americans have abandoned the pews in record numbers. Still, despite recent erosion of religious commitment, Americans remain a distinctively devout people. And devotion affects life far from the sanctuary: Putnam and Campbell parse numbers that identify religious Americans as more generous, more civically engaged, and more neighborly than their secularly minded peers. But the analysis most likely to stir debate illuminates how religion has increasingly separated Republicans from Democrats, conservatives from progressives. Readers may blame the Christian Right for this new cultural fissure, but survey statistics mark liberal congregations as the most politicized. But whether looking at politics or piety, the authors complement their statistical analysis with colorful vignettes, humanizing their numbers with episodes from the lives of individual Protestants and Catholics, Jews and Mormons. An essential resource for anyone trying to understand twenty-first-century America.' --Bryce Christensen
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Rowling, Joanne K, Harry Potter nd the Prisoner of Azkaban, Bloomsbury Publishing PLC 2004 Amazon editorial review: 'For most children, summer vacation is something to look forward to. But not for our 13-year-old hero, who's forced to spend his summers with an aunt, uncle, and cousin who detest him. The third book in J.K. Rowling's Harry Potter series catapults into action when the young wizard "accidentally" causes the Dursleys' dreadful visitor Aunt Marge to inflate like a monstrous balloon and drift up to the ceiling. Fearing punishment from Aunt Petunia and Uncle Vernon (and from officials at Hogwarts School of Witchcraft and Wizardry who strictly forbid students to cast spells in the nonmagic world of Muggles), Harry lunges out into the darkness with his heavy trunk and his owl Hedwig.
As it turns out, Harry isn't punished at all for his errant wizardry. Instead he is mysteriously rescued from his Muggle neighborhood and whisked off in a triple-decker, violently purple bus to spend the remaining weeks of summer in a friendly inn called the Leaky Cauldron. What Harry has to face as he begins his third year at Hogwarts explains why the officials let him off easily. It seems that Sirius Black--an escaped convict from the prison of Azkaban--is on the loose. Not only that, but he's after Harry Potter. But why? And why do the Dementors, the guards hired to protect him, chill Harry's very heart when others are unaffected? Once again, Rowling has created a mystery that will have children and adults cheering, not to mention standing in line for her next book. Fortunately, there are four more in the works.' (Ages 9 and older) --Karin Snelson
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Russell, Bertrand, A History of Western Philosophy, and its Connection with Political and Social Circumstances from Earliest Times to the Present Day, Simon & Schuster 1945 Amazon ditorial reviews: Ray Monk: 'A History of Western Philosophy remains unchallenged as the perfect introduction to its subject. Russell . . . writes with the kind of verve, freshness and personal engagement that lesser spirits would never have permitted themselves. This boldness, together with the astonishing breadth of his general historical knowledge, allows him to put philosophers into their social and cultural context . . . The result is exactly the kind of philosophy that most people would like to read, but which only Russell could possibly have written.'
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Schopenhauer, Arthur, The World as Will and Representation (Volume 1) (translated by E F J Payne), Dover 1969 Jacket: 'Arthur Schopenhauer's Die Welt als Wille und Vorstellung is one of the most important philosophical works of the 19th century, the basic statement of one important stream of post-Kantian thought. It is without question Schopenhauer's greatest work, and, conceived and published before the philosopher was 30, and expanded 25 years later, it is the summation of a lifetime of thought.'
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Smith, Adam, The Theory of Moral Sentiments, Liberty Fund Inc. 2009 Book Description: 'The Theory of Moral Sentiments, Smith's first and in his own mind most important work, outlines his view of proper conduct and the institutions and sentiments that make men virtuous. Here he develops his doctrine of the impartial spectator, whose hypothetical disinterested judgment we must use to distinguish right from wrong in any given situation. We by nature pursue our self-interest, according to Smith. This makes independence or self-command an instinctive good and neutral rules as difficult to craft as they are necessary. But society is not held together merely by neutral rules; it is held together by sympathy. Smith argues that we naturally share the emotions and to a certain extent the physical sensations we witness in others. Sharing the sensations of our fellows, we seek to maximize their pleasures and minimize their pains so that we may share in their joys and enjoy their expressions of affection and approval.'
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Stewart, Ian, Why Beauty is Truth: A History of Symmetry, Basic Books/Perseus 2007 Jacket: ' ...
Symmetry has been a key idea for artists, architects and musicians for centuries but within mathematics it remained, until very recently ,an arcane pursuit. In the twentieth century, however, symmetry emerged as central to the most fundamental ideas in physics and cosmology. Why beauty is truth tells its history, from ancient Babylon to twenty-first century physics.'
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Wigner, Eugene, Symmetries and Reflections: Scientific Essays , MIT Press 1970 Jacket: 'This volume contains some of Professor Wigner's more popular papers which, in their diversity of subject and clarity of style, reflect the author's deep analytical powers and the remarkable scope of his interests. Included are articles on the nature of physical symmetry, invariance and conservation principles, the structure of solid bodies and of the compound nucleus, the theory of nuclear fission, the effects of radiation on solids, and the epistemological problems of quantum mechanics. Other articles deal with the story of the first man-made nuclear chain reaction, the long term prospects of nuclear energy, the problems of Big Science, and the role of mathematics in the natural sciences. In addition, the book contains statements of Wigner's convictions and beliefs as well as memoirs of his friends Enrico Fermi and John von Neumann.
Eugene P. Wigner is one of the architects of the atomic age. He worked with Enrco Fermi at the Metallurgical Laboratory of the University of Chicago at the beginning of the Manhattan Project, and he has gone on to receive the highest honours that science and his country can bestow, including the Nobel Prize for physics, the Max Planck Medal, the Enrico Fermi Award and the Atoms for Peace Award. '.
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Wilson, Edward Osborne, Sociobiology: The new synthesis, Harvard UP 1975 Chapter 1: '... the central theoretical problem of sociobiology: how can altruism, which by definition reduces personal fitness, possibly evolve by natural selection? The answer is kinship. ... Sociobiology is defined as the systematic study of the biological basis of all social behaviour. ... It may not be too much to say that sociology and the other social sciences, as well as the humanities, are the last branches of biology waiting to be included in the Modern Synthesis.'
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Papers
Atran, Scott, Joseph Henrich, "The Evolution of Religion: How Cognitive By-products, Adaptive Learning Heuristics, Ritual Displays and Group Competition Generate Deep Commitments tp Prosocial Religions", Biological Theory: Integrating Development, Evolution and Cognition, 5, 1, 2010, page 18-30. Abstract
'Understanding religion requires explaining why supernatural beliefs, devotions, and rituals are both universal and variable across cultures, and why religion is so often associated with both large-scale cooperation and enduring group conflict. Emerging lines of research suggest that these oppositions result from the convergence of three processes. First, the interaction of certain reliably developing cognitive processes, such as our ability to infer the presence of intentional agents, favors—as an evolutionary by-product—the spread of certain kinds of counterintuitive concepts. Second, participation in rituals and devotions involving costly displays exploits various aspects of our evolved psychology to deepen people's commitment to both supernatural agents and religious communities. Third, competition among societies and organizations with different faith-based beliefs and practices has increasingly connected religion with both within-group prosociality and between-group enmity. This connection has strengthened dramatically in recent millennia, as part of the evolution of complex societies, and is important to understanding cooperation and conflict in today's world.'. back |
Greene, Joshua D., R. Brian Sommerville, Leigh E. Nystrom, John M. Darley, Jonathan D. Cohen, "An fMRI Investigation of Emotional Engagement in Moral Judgment", Science, 293, 5537, 14 September 2001, page 2105-2108. 'ABSTRACT
The long-standing rationalist tradition in moral psychology emphasizes the role of reason in moral judgment. A more recent trend places increased emphasis on emotion. Although both reason and emotion are likely to play important roles in moral judgment, relatively little is known about their neural correlates, the nature of their interaction, and the factors that modulate their respective behavioral influences in the context of moral judgment. In two functional magnetic resonance imaging (fMRI) studies using moral dilemmas as probes, we apply the methods of cognitive neuroscience to the study of moral judgment. We argue that moral dilemmas vary systematically in the extent to which they engage emotional processing and that these variations in emotional engagement influence moral judgment. These results may shed light on some puzzling patterns in moral judgment observed by contemporary philosophers.'. back |
Wynn & Bloom, J Kiley, Karen Wynn, Paul Bloom, "Social Evaluation by Preverbal Infants", Nature, 450, 7169, , page 557-60. Abstract: The capacity to evaluate other people is essential for navigating the social world. Humans must be able to assess the actions and intentions of people around them, and make accurate decisions about who is friend and who is foe, who is appropriate social partner and who is not. Indeed, all social animals benefit from the capacity to identify individual conspecifcs that may help them and to distinguish these individuals from others that may harm them. Human adults evaluate people rapidly and automatically on the basis of both behaviour and physical features, but the ontogenic origins and development of this capacity is not well understood. Here we show that 6- and 10-month-old infants take into account an individual's actions toward other in evaluating that individual as appealing or aversive; infants prefer an individual who helps another to one who hinders another, prefer a helping individual to a neutral individual, and prefer a neutral individual to a hindering individual. These findings constitute evidence that preverbal infants assess individuals on the basis of their behaviour toward others. This capacity may serve as the foundation for moral though and action, and it early developmental emergence supports the view that social evaluation is a biological adaptation.'. back |
Links
Albert Einstein, Origins of the General Relativity Theory, 'Finally Einstein “returned penitentially to the Riemann curvature”. “Our final results appear almost self-evident … but the years of searching in the dark for a truth that one feels but cannot express; the intense desire, and the alternations of confidence and misgiving, until one breaks through to clarity and understanding, are only known to him who has himself experienced it.” ' back |
Alexandria Ocasio-Cortez - Wikipedia, Alexandria Ocasio-Cortez - Wikipedia, the free encyclopedia, 'Alexandria Ocasio-Cortez (born October 13, 1989) is an American political activist, educator, community organizer and politician. On June 26, 2018, Ocasio-Cortez won the Democratic primary in New York's 14th congressional district, defeating the incumbent, Democratic Caucus Chair Joseph Crowley, in what has been described as the biggest upset victory in the 2018 midterm election season.Ocasio-Cortez is a member of the Democratic Socialists of America and has been endorsed by various politically progressive organizations and individuals.' back |
Apophatic theology - Wikipedia, Apophatic theology - Wikipedia, the free encyclopedia, 'Apophatic theology (from Greek ἀπόφασις from ἀπόφημι - apophēmi, "to deny")—also known as negative theology or via negativa (Latin for "negative way")—is a theology that attempts to describe God, the Divine Good, by negation, to speak only in terms of what may not be said about the perfect goodness that is God. It stands in contrast with cataphatic theology.' back |
Aquinas, Summa, I, 27, 1, Is there procession in God?, 'As God is above all things, we should understand what is said of God, not according to the mode of the lowest creatures, namely bodies, but from the similitude of the highest creatures, the intellectual substances; while even the similitudes derived from these fall short in the representation of divine objects. Procession, therefore, is not to be understood from what it is in bodies, either according to local movement or by way of a cause proceeding forth to its exterior effect, as, for instance, like heat from the agent to the thing made hot. Rather it is to be understood by way of an intelligible emanation, for example, of the intelligible word which proceeds from the speaker, yet remains in him. In that sense the Catholic Faith understands procession as existing in God.' back |
Asymptotic freedom - Wikipedia, Asymptotic freedom - Wikipedia, the free encyclopedia, 'In particle physics, asymptotic freedom is a property of some gauge theories that causes interactions between particles to become asymptotically weaker as the energy scale increases and the corresponding length scale decreases.
Asymptotic freedom is a feature of quantum chromodynamics (QCD), the quantum field theory of the strong interaction between quarks and gluons, the fundamental constituents of nuclear matter. Quarks interact weakly at high energies, allowing perturbative calculations. At low energies the interaction becomes strong, leading to the confinement of quarks and gluons within composite hadrons.' back |
Broad church - Wikipedia, Broad church - Wikipedia, the free encyclopedia, 'Broad church is a term referring to latitudinarian churchmanship in the Church of England, in particular, and Anglicanism, in general. From this, the term is often used to refer to secular political organisations, meaning that they encompass a broad range of opinion.' back |
Buddha, Dhammapada Verse 252, 'The Story of Mendaka the Rich Man
While residing near the town of Baddiya, the Buddha uttered Verse (252) of this book with reference to the renowned rich man Mendaka and his family.' back |
Carl Hoefer, Causal Determinism (Standord Encyclopaedia of Philosophy), 'We ought to regard the present state of the universe as the effect of its antecedent state and as the cause of the state that is to follow. An intelligence knowing all the forces acting in nature at a given instant, as well as the momentary positions of all things in the universe, would be able to comprehend in one single formula the motions of the largest bodies as well as the lightest atoms in the world, provided that its intellect were sufficiently powerful to subject all data to analysis; to it nothing would be uncertain, the future as well as the past would be present to its eyes. The perfection that the human mind has been able to give to astronomy affords but a feeble outline of such an intelligence. (Laplace 1820)' back |
Clinton Fernandes, Lawyer and witness face charges under spy laws, raising questions of openness and accountability, 'The Commonwealth Director of Public Prosecutions, Sarah McNaughton SC, recently filed criminal charges against Canberra lawyer Bernard Collaery and his client, a former officer of the Australian Secret Intelligence Service (ASIS).
The Intelligence Services Act 2001 prevents the identification of his client, who is referred to publicly only as Witness K. Collaery is a former Attorney-General of the ACT. Witness K is reported to be the former head of technical operations for ASIS.' 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 |
Cosmological constant problem - Wikipedia, Cosmological constant problem - Wikipedia, the free encyclopedia, 'In cosmology, the cosmological constant problem or vacuum catastrophe is the disagreement between measured values of the vacuum energy density (the small value of the cosmological constant) and the zero-point energy suggested by quantum field theory.
Depending on the assumptions[which?], the discrepancy ranges from 40 to more than 100 orders of magnitude, a state of affairs described by Hobson et al. (2006) as "the worst theoretical prediction in the history of physics." ' back |
Dirac delta function - Wikipedia, Dirac delta function - Wikipedia, the free encyclopedia, 'The Dirac delta or Dirac's delta is a mathematical construct introduced by theoretical physicist Paul Dirac. Informally, it is a function representing an infinitely sharp peak bounding unit area: a function ?(x) that has the value zero everywhere except at x = 0 where its value is infinitely large in such a way that its total integral is 1. In the context of signal processing it is often referred to as the unit impulse function. Note that the Dirac delta is not strictly a function. While for many purposes it can be manipulated as such, formally it can be defined as a distribution that is also a measure.' back |
Double-entry bookkeeping system - Wikipedia, Double-entry bookkeeping system - Wikipedia, the free encyclopedia, 'Double-entry bookkeeping, in accounting, is a system of bookkeeping so named because every entry to an account requires a corresponding and opposite entry to a different account. The double entry has two equal and corresponding sides known as debit and credit. The left-hand side is debit and right-hand side is credit.' back |
Dreamtime - Wikipedia, Dreamtime - Wikipedia, the free encyclopedia, 'In the animist framework of Australian Aboriginal mythology, Dreamtime is a sacred era in which ancestral totemic spirit beings created the world.' back |
Eigenfunction - Wikipedia, Eigenfunction - Wikipedia, the free encyclopedia, 'In mathematics, an eigenfunction of a linear operator, A, defined on some function space is any non-zero function f in that space that returns from the operator exactly as is, except for a multiplicative scaling factor. More precisely, one has Af =
λf for some scalar, λ, the corresponding eigenvalue.' back |
Emanationism - Wikipedia, Emanationism - Wikipedia, the free encyclopedia, 'Emanationism is a cosmological theory which asserts that all things "flow" from an underlying principle or reality, usually called the Absolute or Godhead. Any teachings which involve emanation are usually in opposition to creation ex nihilo as emanation advocates that everything has always existed and has not been "created" from nothing.'
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Eric W Weisstein, Poisson Bracket -- from Wolfram MathWorld, back |
Feynman, Leighton & Sands FLP III:07, Chapter 7: The Dependence of Amplitudes on Time, 'We want now to talk a little bit about the behavior of probability amplitudes in time. We say a “little bit,” because the actual behavior in time necessarily involves the behavior in space as well. Thus, we get immediately into the most complicated possible situation if we are to do it correctly and in detail. We are always in the difficulty that we can either treat something in a logically rigorous but quite abstract way, or we can do something which is not at all rigorous but which gives us some idea of a real situation—postponing until later a more careful treatment. With regard to energy dependence, we are going to take the second course. We will make a number of statements. We will not try to be rigorous—but will just be telling you things that have been found out, to give you some feeling for the behavior of amplitudes as a function of time.' back |
Feynman, Leighton & Sands FLP III:08, Chapter 8: The Hamiltonian Matrix, 'One problem then in describing nature is to find a suitable representation for the base states. But that’s only the beginning. We still want to be able to say what “happens.” If we know the “condition” of the world at one moment, we would like to know the condition at a later moment. So we also have to find the laws that determine how things change with time. We now address ourselves to this second part of the framework of quantum mechanics—how states change with time.' back |
Gareth Evans and Brian Schmidt, ANU stood up for academic freedom in rejecting Western Civilisation degree, 'The Australian National University’s decision to withdraw from negotiations with the Ramsay Centre over its proposed very generous gift in support of a new Western Civilisation degree program continues to generate strident criticism from certain quarters, enthusiastically endorsed by the The Australian newspaper in particular.
The nub of the critique is that we were intimidated into submission by a coterie of leftist staff and students ideologically hostile to the West and all its works and determined to prevent its intellectual and cultural traditions being taught in any kind of respectful way.' back |
General covariance - Wikipedia, General covariance - Wikipedia, the free encyclopedia, In theoretical physics, general covariance (also known as diffeomorphism covariance or general invariance) is the invariance of the form of physical laws under arbitrary differentiable coordinate transformations. The essential idea is that coordinates do not exist a priori in nature, but are only artifices used in describing nature, and hence should play no role in the formulation of fundamental physical laws.' back |
Hamid Dabashi, The beautiful game is back: Nations reclaim their names, 'Every four years, when the World Cup kicks off, we have a chance to think of nations, their ideals, their aspirations, their peoplehood rather than the criminal atrocities that their ruling states commit in their names. . . .
The same is true today. As the beautiful game comes up on billions of TV sets across the globe, people rush to reclaim their nations from the violence of their states.' back |
Higgs boson - Wikipedia, Higgs boson - Wikipedia, the free encyclopedia, 'The Higgs boson or Higgs particle is an elementary particle in the Standard Model of particle physics. It is the quantum excitation of the Higgs field[6][7]—a fundamental field of crucial importance to particle physics theory,[7] first suspected to exist in the 1960s, that unlike other known fields such as the electromagnetic field, takes a non-zero constant value almost everywhere.' back |
Holy See - Dei Verbum, Dogmatic Constitution on Divine Revelation 'Dei Verbum', SOLEMNLY PROMULGATED
BY HIS HOLINESS
POPE PAUL VI
ON NOVEMBER 18, 1965,
'PREFACE
1. Hearing the word of God with reverence and proclaiming it with faith, the sacred synod takes its direction from these words of St. John: "We announce to you the eternal life which dwelt with the Father and was made visible to us. What we have seen and heard we announce to you, so that you may have fellowship with us and our common fellowship be with the Father and His Son Jesus Christ" (1 John 1:2-3). Therefore, following in the footsteps of the Council of Trent and of the First Vatican Council, this present council wishes to set forth authentic doctrine on divine revelation and how it is handed on, so that by hearing the message of salvation the whole world may believe, by believing it may hope, and by hoping it may love.' back |
Incandescent light bulb - Wikipedia, Incandescent light bulb - Wikipedia, the free encyclopdia, 'An incandescent light bulb, incandescent lamp or incandescent light globe is an electric light with a wire filament heated to such a high temperature that it glows with visible light (incandescence). The filament is protected from oxidation with a glass or fused quartz bulb that is filled with inert gas or a vacuum. In a halogen lamp, filament evaporation is slowed by a chemical process that redeposits metal vapor onto the filament, thereby extending its life.' back |
Jeremy Bentham - Wikipedia, Jeremy Bentham - Wikipedia, the free encyclopedia, 'Jeremy Bentham (15 February 1748 – 6 June 1832) was an English author, jurist, philosopher, and legal and social reformer. He became a leading theorist in Anglo-American philosophy of law, and a political radical whose ideas influenced the development of welfarism. He is best known for his advocacy of utilitarianism and the idea of the panopticon. In recent years he has also become known as an early advocate of animal rights.' back |
Jessica Contrera, Inside the Christian powerhouse that keeps winning at the Supreme Court, '[Kristen Waggoner's} Her job was to be the legal mind and public face of Alliance Defending Freedom., an Arizona-based Christian conservative legal nonprofit better known as ADF. Though far from a household name, the results of ADF’s work are well known. Masterpiece Cakeshop v. Colorado Civil Rights Commission was just one of ADF’s cases at the Supreme Court this term.' back |
Marwan Bishara, What's the big deal . . . of the century?, 'When I was asked to write a commentary on the so-called "deal of the century", I could only roll my eyes in frustration.
First of all, the plan hasn't been released. Second, leaks signal it will consist of the same tried and failed ideas. Third, the radical American Zionists behind it take their cue from Israeli Prime Minister Benjamin Netanyahu, except when he's not radical enough for their taste.' back |
Penny Van Bergen and Carol Newall, Why do kids lie, and is it normal, '. . . from a developmental perspective, lying in young children is rarely cause for concern. In fact, lying is often one of the first signs a young child has developed a “theory of mind”, which is the awareness others may have different desires, feelings, and beliefs to oneself. When a child misleadingly claims “Daddy said I could have an ice cream”, they’re using this awareness of others’ minds to plant false knowledge.' back |
Plato, Republic, Translated by Benjamin Jowett. The Republic of Plato is the longest of his works with the exception of the Laws, and is certainly the greatest of them. There are nearer approaches to modern metaphysics in the Philebus and in the Sophist; the Politicus or Statesman is more ideal; the form and institutions of the State are more clearly drawn out in the Laws; as works of art, the Symposium and the Protagoras are of higher excellence. But no other Dialogue of Plato has the same largeness of view and the same perfection of style; no other shows an equal knowledge of the world, or contains more of those thoughts which are new as well as old, and not of one age only but of all. Nowhere in Plato is there a deeper irony or a greater wealth of humor or imagery, or more dramatic power. Nor in any other of his writings is the attempt made to interweave life and speculation, or to connect politics with philosophy. The Republic is the centre around which the other Dialogues may be grouped; here philosophy reaches the highest point to which ancient thinkers ever attained.' back |
Plato, Timaeus, back |
Poisson bracket - Wikipedia, Poisson bracket - Wikipedia the free encyclopedia, 'IIn mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time-evolution of a Hamiltonian dynamical system . . . In a more general sense: the Poisson bracket is used to define a Poisson algebra, of which the algebra of functions on a Poisson manifold is a special case. These are all named in honour of Siméon-Denis Poisson.' back |
Pseudo-Dionysius the Areopagite - Wikipedia, Pseudo-Dionysius the Areopagite - Wikipedia, the free encyclopedia, 'Pseudo-Dionysius the Areopagite (Greek: Διονύσιος ὁ Ἀρεοπαγίτης), also known as Pseudo-Denys, was a Christian theologian and philosopher of the late 5th to early 6th century (writing before 532), probably Syrian, the author of the set of works commonly referred to as the Corpus Areopagiticum or Corpus Dionysiacum. The author pseudonymously identifies himself in the corpus as "Dionysios", portraying himself as the figure of Dionysius the Areopagite, the Athenian convert of St. Paul mentioned in Acts 17:34 This false attribution resulted in the work being given great authority in subsequent theological writing in both East and West, with its influence only decreasing in the West with the fifteenth century demonstration of its later dating.' back |
Rolf Landauer, Information is a Physical Entity, 'Abstract: This paper, associated with a broader conference talk on the fundamental physical limits of information handling, emphasizes the aspects still least appreciated. Information is not an abstract entity but exists only through a physical representation, thus tying it to all the restrictions and possibilities of our real physical universe. The mathematician's vision of an unlimited sequence of totally reliable operations is unlikely to be implementable in this real universe. Speculative remarks about the possible impact of that, on the ultimate nature of the laws of physics are included.' back |
Scott Atran & Joeseph Henrich, The Evolution of Religion: How Cognitive By-products, Adaptive Learning Heuristics, Ritual Displays and Group Competition Generate Deep Commitments tp Prosocial Religions, Abstract
'Understanding religion requires explaining why supernatural
beliefs, devotions, and rituals are both universal and variable
across cultures, and why religion is so often associated
with both large-scale cooperation and enduring group conflict.
Emerging lines of research suggest that these oppositions result
from the convergence of three processes. First, the interaction
of certain reliably developing cognitive processes, such as our
ability to infer the presence of intentional agents, favors—as
an evolutionary by-product—the spread of certain kinds of
counterintuitive concepts. Second, participation in rituals and
devotions involving costly displays exploits various aspects
of our evolved psychology to deepen people’s commitment
to both supernatural agents and religious communities. Third,
competition among societies and organizations with different
faith-based beliefs and practices has increasingly connected religion
with both within-group prosociality and between-group
enmity. This connection has strengthened dramatically in recent
millennia, as part of the evolution of complex societies,
and is important to understanding cooperation and conflict in
today’s world.' back |
Scriptorium - Wikipedia, Scriptorium - Wikipedia, the free encyclopedia, 'Scriptorium, literally "a place for writing", is commonly used to refer to a room in medieval European monasteries devoted to the copying of manuscripts by monastic scribes. Written accounts, surviving buildings, and archaeological excavations all show, however, that contrary to popular belief[citation needed] such rooms rarely existed: most monastic writing was done in cubicle-like recesses in the cloister, or in the monks' own cells.' back |
Second Vatican Council - Dei Verbum, Dogmatic Constitution on Divine Revelation 'Dei Verbum', Solemnly promulgated by His Holiness Pope Paul VI on November 18, 1965.
'Preface
1. Hearing the word of God with reverence and proclaiming it with faith, the sacred synod takes its direction from these words of St. John: "We announce to you the eternal life which dwelt with the Father and was made visible to us. What we have seen and heard we announce to you, so that you may have fellowship with us and our common fellowship be with the Father and His Son Jesus Christ" (1 John 1:2-3). Therefore, following in the footsteps of the Council of Trent and of the First Vatican Council, this present council wishes to set forth authentic doctrine on divine revelation and how it is handed on, so that by hearing the message of salvation the whole world may believe, by believing it may hope, and by hoping it may love.' back |
Self-domestication - Wikipedia, Self-domestication - Wikipedia, the free encyclopedia, 'Self-domestication refers to the process of adaptation of wild animals to humans, without direct human selective breeding of the animals. The term is also used to refer to biological processes in the evolution of humans and human culture.' back |
Sheffer stroke - Wikipedia, Sheffer stroke - Wikipedia, the fre encyclopedia, 'In Boolean functions and propositional calculus, the Sheffer stroke, named after Henry M. Sheffer, written "|" . . . denotes a logical operation that is equivalent to the negation of the conjunction operation, expressed in ordinary language as "not both". It is also called nand ("not and") or the alternative denial, since it says in effect that at least one of its operands is false.' back |
Shield of the Trinity - Wikipedia, Shield of the Trinity - Wikipedia, the free encyclopedia, 'The Shield of the Trinity or Scutum Fidei is a traditional Christian visual symbol which expresses many aspects of the doctrine of the Trinity, summarizing the first part of the Athanasian Creed in a compact diagram. In late medieval England and France, this emblem was considered to be the heraldic arms of God (and of the Trinity).' back |
Tensor product - Wikipedia, Tensor product - Wikipedia, the free encyclopedia, 'In mathematics, the tensor product V ⊗ W of two vector spaces V and W (over the same field) is itself a vector space, together with an operation of bilinear composition, denoted by ⊗, from ordered pairs in the Cartesian product V × W into V ⊗ W, in a way that generalizes the outer product. The tensor product of V and W is the vector space generated by the symbols v ⊗ w, with v ∈ V and w ∈ W, in which the relations of bilinearity are imposed for the product operation ⊗, and no other relations are assumed to hold. The tensor product space is thus the "freest" (or most general) such vector space, in the sense of having the fewest constraints.' back |
To be or not to be - Wikipedia, To be or not to be - Wikipedia, the free encyclopedia, 'To be, or not to be, that is the question:
Whether 'tis nobler in the mind to suffer
The slings and arrows of outrageous fortune,
Or to take Arms against a Sea of troubles,
And by opposing end them: to die, to sleep
No more; and by a sleep, to say we end
the heart-ache, and the thousand natural shocks
that Flesh is heir to?' back |
Wojciech Hubert Zurek, Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical, 'Submitted on 17 Mar 2007 (v1), last revised 18 Mar 2008 (this version, v3))
"Measurements transfer information about a system to the apparatus, and then further on -- to observers and (often inadvertently) to the environment. I show that even imperfect copying essential in such situations restricts possible unperturbed outcomes to an orthogonal subset of all possible states of the system, thus breaking the unitary symmetry of its Hilbert space implied by the quantum superposition principle. Preferred outcome states emerge as a result. They provide framework for the ``wavepacket collapse'', designating terminal points of quantum jumps, and defining the measured observable by specifying its eigenstates. In quantum Darwinism, they are the progenitors of multiple copies spread throughout the environment -- the fittest quantum states that not only survive decoherence, but subvert it into carrying information about them -- into becoming a witness.' back |
Zero-point energy - Wikipedia, Zero-point energy - Wikipedia, the free encyclopedia, 'In physics, the zero-point energy is the lowest possible energy that a quantum mechanical physical system may possess and is the energy of the ground state of the system. The concept was first proposed by Albert Einstein and Otto Stern in 1913. The term "zero-point energy" is a translation of the German Nullpunktsenergie. All quantum mechanical systems have a zero point energy. The term arises commonly in reference to the ground state of the quantum harmonic oscillator and its null oscillations. In quantum field theory, it is a synonym for the vacuum energy, an amount of energy associated with the vacuum of empty space. In cosmology, the vacuum energy is taken to be the origin of the cosmological constant. Experimentally, the zero-point energy of the vacuum leads directly to the Casimir effect, and is directly observable in nanoscale devices.' back |
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