Notes
Sunday 4 June 2023 - Saturday 10 June 2023
[Notebook: DB 89: Cognitive Cosmogenesis]
[page 79]
Sunday 4 June 2023
We look on infinity, as we look on action, as an endless (that is un-finite) motion, perpetual motion in infinite time rather than infinite size in infinite space. The universe began from an infinite symmetry and although this symmetry can be broken into space and time, the underlying eternal symmetry remains unbroken, and we are inclined to identify it in some way with gravitation.
Newstead §3 Avoiding Antimonies Anne Newstead: Intertwining metaphysics and mathematics: the development of Georg Cantor’s set theory 1871-1887
Beijing Spring: Stars, Artists Andy Cohen: Beijing Spring (film) - Wikipedia
" The world offers boundless opportunities for those who like to explore it."
[page 80]
Monday 5 June 2023
The Universe is a work of art inspired by the Cantor Spring. The Cantor force is a kinematic force operating in the cognitive domain. Jeffrey Nicholls (1992a): An Essay on Value
The source of the cosmological constant problem appears to be the assumption that lies at the foundation of quantum field theory that uncertainty creates potential and so the uncertainty at the root of the quantum harmonic oscillator is the soure of the energy of the universe, the so called violent energy of empty space that makes the world go round. Solve the cosmological constant problem and we have the foundation of the theory of everything and the answer seems to be the dichotomy between kinematics and dynamics. Cantor's theological obsession with the real existence of the transfinite numbers would seem to have been a kinematic problem, mistaking a mathematical ideal created in his own mind for reality. Theologians in general appear to suffer from the same disease, rather like Pope Francis' obsession with the devil. Frank Wilczek (2008): The Lightness of Being: Mass, Ether, and the Unification of Forces, page 111, Courtney Mares: Pope Francis: The devil uses ‘three widespread and dangerous temptations’ to divide us
What am I thinking? Steady as she goes. It has been a year disrupted by domestic problems and my sister's cancer, but I am slowly getting a grip of my new
[page 81]
theology and every day a few new sentences appear. The history of Cantor's development has helped. He began with the 'theological' fantasy, fuelled by the Bolzano-Weierstrass theorm that you could build a continuum out of isolated points by squeezing enough of them into a small space. This led to the realization that there are more real numbers than rational numbers and his theory of derived sets provided a path beteen the natural numbers and the transfinite numbers which is formal and kinematic, based ultimately on the [arithmetic] "diagonal" argument. He then turned the question round, beginning from the natural numbers and using combinations and permutations to build bigger numbers and this we see as the way that the universe made itself. We replace Euclidean points with quanta of action, quanta of action with Turing machines, and build the Turing machines into networks which explain every feature of the universe from protons and atoms to love and marriage. As we go along we look to turn formal kinematic ideas into self sufficient dynamic processes, all driven by the initial singularity which we model on the traditional god, omnipotent, completely ignorant but bouned by consistency. Cantor's diagonal argument - Wikipedia
Brooks Barnes: Disney transition from kinematic animation to live action dynamics (heavily subsidized by computer generated animation). Brooks Barnes: The Man Reimagining Disney Classics for Today’s World
[page 82]
The initial singularity, represented by the empty set (?) is an element of every set. We are thiking that potential ⇆ uncertainty ⇆ possibility (something to do with the foundations of quantum field theory and the cosmological consant problem).
Cantor, Chicks, Wide Open Spaces Dixie Chicks: Wide Open Spaces
Logical continuity does not just operate at the bit level but at all higher levels to varying degees. My personal life, for instance, requires enough logical continuity to take care of all my physical, mental and social activities, and the same goes for nations, planets and stars and ultimately the universe.
Tuesday 6 June 2023
My private transfinite saga continues. Why am I so hooked on it? Because it is one element of the creation of abstract space: a) emission of quanta of action by [within] the initial singularity (increase in power (Cantor) of the universal set, analogous to the natural numbers); and b) ordering of these elements by duplication and rearrangement (ie increase in power by order), so we are building a universe based on the nature of mathematics. Initial singularity is a 'Peano generator'; evolution is a 'Cantor generator'. Maybe begin this section (symmetry and symmetry breaking) with a summary of transfinite arithmetic, beginning with ℵ0 = 2. Peano axioms - Wikipedia
[page 83]
As the sports people say, the competition is against oneself. I do not feel that I am in competition against anything but seeking to find a consistent story to fit myself into the universe in which I find myself, in other words to become consistent with my chosen god, and having achieved that to my satisfaction, exploit the vision to make a living by becoming a condensation nucleus for a particular theological point of view, that is that the universe is divine so that physics and theology must be consistent.
I am still to a large degree out in the wilderness trying to build a case against imperialism, but faced by the power of imperial cooperation reflected in Monty Python's catalogue of what have the Romans done for us? Cooperation forced by violence still carries the power of cooperation and much of our significant art and architecture had been made and built by imperial wealth as we can see in the artistic treasures of the Vatican. What seems to be necessary is to speak to every individual in a way that encourages them to cooperate for the common good without violence. This means that we need to begin with education and encourage it with artistically presented ideas [for increasing psychic space] which is what I think I am tryng to do, swimming through the huge amount of text I have written to pick out the tastiest fish to offer the public. Before this can happen I must get all this clear in my mind, which is the purpose of these notes, to go over everything again and again
[page 84]
inching towards a conclusion. The latest inchoate idea couples potential to possibility through the variation phase of evolution embedded in the Hilbert space of quantum mechanics, independence, orthogonality, superposition, personality and selection by communication singles out from Hilbert space [the consistent] possibilities [fixed points, eigenvalues] realized in Minkowski space. Perhaps we should see the ideals of Cantorian set theory in the complex world of Hilbert space where every polynomial has a solution. Back again to Cantor, Gödel and Turing, my faithful triumvirate. By putting my Hilbert space thoughts into Minkowski like writing I am crystallizing images in the mist of possibility. Always looking for insight / orgasm in the space of reproductive relationship. Monty Python: What have the Romans ever done for us?
Wednesday 7 June 2023
Cantor force; Money_Jan_2022. Cantor potential / Cantor theorem / E_force / E_potential / Macmillan's theorem. Jeffrey Nicholls (1992): An Essay on the Divinity of Money, Brockway Macmillan: The Basic Theorems of Information Theory
The kinematic - dynamic—ideal - real dichotomy brings out the meaning of these ideas: first dream it, then do it, the genesis of a mathematical proof, jumping the consistency hurdle to be allowed to enter the canon, but this does not necessarily enable [physically relevant] causality.
While trying to cure physics of being carried away by mathematical ideals, I am trying to exploit them myself.
[page 85]
I would like to be a genius but in reality I am a dumb self taught country boy continuously facing problems I cannot solve This worries me because I do think I am honest and professional to the point where I seek the truth and insoluble problems worry me. I am also tenacious, and strongly convinced that the universe, if it began from a structureless singularity is also very simple and straightforward like a wheel if only I could see it. I am inclined to reject Lonergan's division of reality and knowledge into proportionate and transcendental, and the core of this rejection is that immaterial continua can carry no information. The world is symbolic to the core and the lowest layer of symbolism is a dynamic object, the quantum of action, a fixed point in the initial singularity. So I sit here and worry, waiting for the next spark of insight which will bring me a step closer to my dream. I have been working on this project for 60 years, ie 3000 weeks, and I feel that I have been rewarded by one insight per week so my present position is a construct of 3000 insights. I do now know where they have all come from or where they are all going, but I have been always waiting for the big one which will put all the pieces of my vision together. A forlorn hope, but enough for me, I am healthy and comfortable and can go on like this for a long time yet. So I am beginning to see the kinematic origin of potential in the transfinite numbers and I just want to see how gravitation and the other forces make these kinemas dynamic. I
[page 86]
am quite pleased with cognitive cosmology and feel that the quantum mechanical / cognitive route is the best way to go for a theory of everything. I am happy with the proposed origins of spacetime and gravitation but having trouble with the entree to transfinity and field theory which may be a 'bridge too far' but we do need to go as far as the human potential layer to draw the essential inputs / outputs to the theory of world peace based on the 'mystical' (kinematic ⇆ rule of law ⇆ dynamic ) body of humanity. Pius XII: Mystici Corporis Christis
I feel the Einstein years of searching in the dark quote coming on. I am standing on his shoulders. He found gravitation after 15 years. I hope to find theology after 80, when I am 97 and ready to retire. At least I can wish, and the story is slowly coalescing.
Hilbert wanted to axiomatize physics. What is the axiom of the universe? Kolmogorov, elementary events are quanta of action, eg flip a coin, throw die, negate proposition [the first formal representation of the quantum of action is the empty set ∅].
Deighton City of Gold: One would imagine that the fundamental structure of the universe would be much simpler, having lower entropy than, say, a spy story. The problem is to explain a simple structure in the enormously complex language we have to use. Len Deighton (1992):City of God
[page 87]
So force is the gradient of a potential and the gradient runs from the high potential to the low potential. How does this relate to the spectrum of values of |ψ|2 and the Born rule?
Thursday 8 June 2023
Knock, knock, knocking on heaven's door. What have Cantor's transfinite numbers got to say about potential and the interface between Hilbert and Minkowski space, and the relationship of complex numbers and Fourier analysis to this interface? Complex numbers go on circles, real numbers, like Minkowski space, go in straight lines, but general relativity and potentials in general introduce circles again, orbits. From these surface appearances we may be able to conjecture something very interesting which is also implied in the dichotomy bertween kinetic and dynamic motions. These words are the expression of a kinesis whose dynamics I seek to understand. Here we are following Einstein's prescription that the answers lie in mathematics, with the caveat that it is not so much the content of mathematics that interests us as its methods, since we assume that the universe uses the same methods as the mathematical community to create itself. This is the central insight of cognitive cosmogenesis. Of course I am hoping that this is the killer insight that will rescue the role of mathematics in physics.
Mathematical proofs establish local consistency which is not necessarily global consistency. Global consistrency requires a pedigree stretching right back to the intial singularity. One way to axiomatize this requirement is through set theory and the transfinite numbers and we need to see how this requirement brings us all the observed features of the universe which in turn provides the skeleton for a consistent theology.
So §21.x: Set theory and cognitive cosmogenesis. Back again to Cantor, Gödel and Turing, take two.
Friday 9 June 2023
§21.x: Does the creation of mathematics mimic the creation of the world? The big deal with infinite sets (which probably renders them meaningless) is that they are equivalent to their subsets.
We identify the empty set with the initial singularity, formally, "the axiom of the empty set", but it is not a quantum of action. No quantization: [Sonnenschein page 13: E is a space; . . . ∅ and E are closed because they are complements of E and ∅, respectively. Therefore ∅ and E are both open and closed]. Sets are independent of quantity, which is why they can contain anything [and of themselves therefore tell us nothing about their contents]. Our containment is logical, logically confined, no contradictions inside is the definition of a set. Sonnenschein & Green(1977) Elements of Complex Analysis
Saturday 10 June 2023
A Cantorian model of the universe beginning with the empty set aka initial singularity. Set theory provides is with a simple process to build both mathematics and the universre by putting things in boxes and manipulating the boxes by establishing a communication network between the [boxes] and the elements in the boxes, one to one correspondence, like one to one communication in a logical network, establishing continuity by sharing spaces [and codes].
The fundamental problem in physics was spotted by Parmenides and solved by Newton. It was the desire for certainty in a moving world. Parmenides proposed that the universe must have a perfect static core. Newton, by his discovery [or creation] of calculus showed how to write formally invariant statements about motion by differentiation and integration. At the same time he 'proved' Galileo's statement that the language of physics is mathematics. Einsein discovered that this was a trap, and Hilbert and his others showed that the trap lies in mathematical ideals which may be consistent by not necessarily physical. Aristotle broke Parmenides' and Plato's barrier by inventing matter both as a means of motion and a means of differentation, which is implicit in motion. The trap is that macroscopic motion intuitively involves a continuum which may have helped Cantor to visualize his transfinite numbers. The big issue (?) is to reconcile Hilbert space and logic, perhaps because logic [in action] is a periodic process with aperiodic content, different operators repeated sequentially [like the lives of generations of people].
[page 90]
Cantor was initially entranced by the Bolzano-Weierstrass pointwise continuum but later learned to create transfinite numbers out of natural numbers [by ordering] but remained stuck with the impossible task of creating a continuum with isolated points. Set theory took him halfway, but we had to await Turing's discovery of Aristotle's definition of continuity to bring logical continuity into the equation, linking pointwise behaviour, quanta of action, with sharing memory [squares on a tape] to make a continuum. Aristotle on (continuity)
All the mathematical details that were painstakingly worked out in terms of point sets in the nineteenth century are now summarized by modern algebra and topology as . . . in chapter 0 of Sonnenschein and Green, and it seems to me that they are larely irrelevant to a cognitive cosmology based on the quantum of action except as they apply to the use of real numbers in the theory of probability. This is the case due not to the logic incolved in the space of proof that defines this constructiom but in the assumptions that are fed into the logic all of which are, in effect, applications of Dedekind's cut used to define open and closed sets of points which although they contain transfinite numbers of points, are assumed to be so well defined that we can assign a particular point to a closed set while excluding its immediate neighbour [we can upgrade point set theory for use in cognitive cosmology be interpreting "points" as "quanta of action" and linking them (by one-to-one-correspondence) to form networks, which are also quanta of action]. Dedekind cut - Wikipedia
The equivalent quantization of Hilbert space is represented by the roots of unity used in the fast fourier transform. Fast Fourier transform - Wikipedia
[page 91]
I am sitting here reading rubbish and waiting for inspiration but also thinking I am greedy because the ideas about mathematics that I expressed in the previous few pragraphs have taken me much deeper into my cognitive and logical picture of the universe and I should be grateful and relax, it is Saturday evening after all and the last week or so worrying about the nature and use of mathematics in physics have been very productive. Pleased to read Daley's review of Benjamin's new translation of Kafka's diary which records the entries "wrote nothing. . . ". I have spent two weeks trying to revise cc21_transfinity and it has improved no end by slowly evolving into a critical treatment of mathematics in physics and my growing awareness of the damage done by trying to describe a quantized logical world in a space-time continuum, getting me closer and closer to the point of my whole effort to reconcile physics and theology. Cantor's pivot from trying to find transfinite numbers in the real line to creating transfinite numbers from the natural numbers was a digitization of the old point set analysis that opened the way for my logical vision of the universe. A fortnight well spent thanks to Cantor, Dauben, Hallett and Hilbert. Linda Daley: Friday essay: ‘All I am is literature’ – Franz Kafka’s diaries were the forge of his writing, Michale Hallett (1984): Cantorian Set Theory and Limitation of Size
|
Copyright:
You may copy this material freely provided only that you quote fairly and provide a link (or reference) to your source.
Further readingBooks
Deighton (1992), Len, City of Gold, Random House 1992 ' Jacket: Superbly evocative of time and place, City of Gold is a richly atmospheric portrait of the tensions and desperations of war. Movinng expertly across a new arena of conflict, Len Deighton guides his characters, their obsessions and betrayals, with the sureness of touch that is the hallmark of a master storyteller. His wartime Cairo will prove to be as memorable as his Berlin of the 60s.'
Amazon
back |
Hallett (1984), Michael, Cantorian Set Theory and Limitation of Size, Oxford UP 1984 Jacket: 'This book will be of use to a wide audience, from beginning students of set theory (who can gain from it a sense of how the subject reached its present form), to mathematical set theorists (who will find an expert guide to the early literature), and for anyone concerned with the philosophy of mathematics (who will be interested by the extensive and perceptive discussion of the set concept).' Daniel Isaacson.
Amazon
back |
Sonnenschein (1977), Jacob, and Simon Green, Elements of Complex Analysis, Dickenson 1977 ' Preface: This book is the result of lectures given by Prof. Dr. J. Sonnenschein at the Brussels University. It is an introductory course in complex analysis of one complex variable. It contains sufficient material for about thirty lectures.
The aim pf the book is to introduce the principal notions an theorems of complex analysis and to make the reader acquainted as quickly as possible and with as much rigor as can be obtained in a short course, with the knowledge necessary to use the most important results of complex analysis in pure and applied mathematics.'
Amazon
back |
Wilczek (2008), Frank, The Lightness of Being: Mass, Ether, and the Unification of Forces, Basic Books 2008 ' In this excursion to the outer limits of particle physics, Wilczek explores what quarks and gluons, which compose protons and neutrons, reveal about the manifestation of mass and gravity. A corecipient of the 2004 Nobel Prize in Physics, Wilczek knows what he’s writing about; the question is, will general science readers? Happily, they know what the strong interaction is (the forces that bind the nucleus), and in Wilczek, they have a jovial guide who adheres to trade publishing’s belief that a successful physics title will not include too many equations. Despite this injunction (against which he lightly protests), Wilczek delivers an approachable verbal picture of what quarks and gluons are doing inside a proton that gives rise to mass and, hence, gravity. Casting the light-speed lives of quarks against “the Grid,” Wilczek’s term for the vacuum that theoretically seethes with quantum activity, Wilczek exudes a contagious excitement for discovery. A near-obligatory acquisition for circulating physics collections.' --Gilbert Taylor
Amazon
back |
Links
Andy Cohen, Beijing Spring (film) - Wikipedia, ' Beijing Spring is a 2021 American documentary film directed by Andy Cohen and co-directed by Gaylen Ross. The film chronicles the struggle for free speech and free artistic expression in the People's Republic of China (PRC) during a brief period of political reform during the late 1970s known as the Beijing Spring. . . . ..
The film focuses on a group of artists called the Stars, which grew out of the underground magazine Today. At Democracy Wall, the artists pushed the limits of free speech by posting prohibited art forms such as abstraction and nudity, photos and poetry depicting everyday life, as well as sculpture critical of the CCP. . . ..
Provoked and incensed, Deng cracked down on the Democracy Wall movement and Stars art group in 1980, closing the wall and issuing arrests, putting an end to the Beijing Spring. . . . ...
For the first time ever, Beijing Spring shows 16-mm footage of the illegal 1979 Stars art exhibit hung on the iron fence of the National Museum, as well as modern China's first protest rally and march through the city streets. After being detained by the authorities for illegally filming the illegal protest, Chi Xiaoning tricked the authorities into believing he destroyed the footage by exposing a blank reel of film. Chi hid the actual footage with friends, which was passed around and hidden underground in Beijing for four decades until Cohen tracked it down with the help of his Mandarin-speaking cousin.' back |
Anne Newstead, Intertwining metaphysics and mathematics: the development of Georg Cantor’s set theory 1871-1887, ' This article discusses Georg Cantor’s philosophical defence of the existence of actual infinities in mathematics. The metaphysical
background to Cantor’s argument is documented, emphasizing the
philosophical references in Cantor’s main work, Grundlagen
(1883). Cantor’s engagement with the history of philosophy,
particularly the writings of Spinoza and Leibniz on infinity, is also
documented. Finally, relevant portions of Cantor’s correspondence and portions of his Nachlass are also used as evidence to document the development of Cantor’s philosophy.' back |
Aristotle (continuity), Physics V, iii, 'A thing that is in succession and touches is 'contiguous'. The 'continuous' is a subdivision of the contiguous: things are called continuous when the touching limits of each become one and the same and are, as the word implies, contained in each other: continuity is impossible if these extremities are two. This definition makes it plain that continuity belongs to things that naturally in virtue of their mutual contact form a unity. And in whatever way that which holds them together is one, so too will the whole be one, e.g. by a rivet or glue or contact or organic union. ' 227a10 sqq back |
Brockway Macmillan, The Basic Theorems of Information Theory, ' This paper describes briefly the current mathematical models upon which communication theory is based, and presents in some detail an exposition and partial critique of C. E. Shannon's treatment of one such model. It then presents a general limit theorem in the theory of discrete stochastic processes, suggested by a result of Shannon's.' back |
Brooks Barnes, The Man Reimagining Disney Classics for Today’s World, ' For more than a decade, Sean Bailey has run Disney’s animated film “reimagining” factory with quiet efficiency and superhero-sized results. His live-action “Aladdin” collected $1.1 billion at the box office, while a photorealistic “The Lion King” took in $1.7 billion. A live-action “Beauty and the Beast” delivered $1.3 billion.
Disney likes the cash. The company also views Mr. Bailey’s remake operation as crucial to remaining relevant. Disney’s animated classics are treasured by fans, but most showcase ideas from another era, especially when it comes to gender roles: Be pretty, girls, and things might work out.
The reimaginings, as Mr. Bailey refers to his remakes, find ways to make Disney stories less retrograde. His heroines are empowered, and his casting emphasizes diversity. A live-action “Snow White,” set for release next year, stars the Latina actress Rachel Zegler as the princess known as “the fairest of them all.” Yara Shahidi played Tinker Bell in the recent “Peter Pan and Wendy,” making her the first Black woman to portray the character onscreen.
“We want to reflect the world as it exists,” Mr. Bailey said.
But that worldview — and business strategy — has increasingly put Disney and Mr. Bailey, a low-profile and self-effacing executive, in the middle of a very loud, very unpolite cultural fight. For every person who applauds Disney, there seems to be a counterpart who complains about being force-fed “wokeness.” back |
Cantor's diagonal argument - Wikipedia, Cantor's diagonal argument - Wikipedia, the free encyclopedia, 'Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers. Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.
The diagonal argument was not Cantor's first proof of the uncountability of the real numbers; it was actually published much later than his first proof, which appeared in 1874. However, it demonstrates a powerful and general technique that has since been used in a wide range of proofs, also known as diagonal arguments by analogy with the argument used in this proof. The most famous examples are perhaps Russell's paradox, the first of Gödel's incompleteness theorems, and Turing's answer to the Entscheidungsproblem.' back |
Cloud condensation nuclei - Wikipedia, Cloud condensation nuclei - Wikipedia, the free encyclopedia, ' Cloud condensation nuclei (CCNs), also known as cloud seeds, are small particles typically 0.2 µm, or one hundredth the size of a cloud droplet. CCNs are a unique subset of aerosols in the atmosphere on which water vapour condenses. This can affect the radiative properties of clouds and the overall atmosphere. Water requires a non-gaseous surface to make the transition from a vapour to a liquid; this process is called condensation.
In the atmosphere of Earth, this surface presents itself as tiny solid or liquid particles called CCNs. When no CCNs are present, water vapour can be supercooled at about −13 °C (9 °F) for 5–6 hours before droplets spontaneously form. This is the basis of the cloud chamber for detecting subatomic particles. back |
Courtney Mares, Pope Francis: The devil uses ‘three widespread and dangerous temptations’ to divide us, ' The pope pointed to the Gospel of Matthew to offer advice for how to overcome the three types of temptations, as Jesus did when he was tempted by the devil after 40 days of fasting in the desert.
“Jesus defeats the temptations. But how does he conquer them? By avoiding discussion with the devil and responding with the Word of God,” he said.
Pope Francis explained that Jesus resisted the devil “by opposing him in faith with the Divine Word.”
To counteract the temptations of attachment to material things, mistrust, and the thirst for power, Jesus quotes three phrases from Scripture that speak of freedom from goods, trust, and service to God.
“In this way, Jesus teaches us to defend unity with God and among ourselves from the attacks of the divider,” he said.' back |
David Hamer & Andrew Dyer, Kathleen Folbigg pardon shows Australia needs a dedicated body to investigate wrongful convictions, ' The New South Wales Attorney-General Michael Daley today announced Kathleen Folbigg has been pardoned after having served 20 years for the murder of three of her infant children and the manslaughter of a fourth child. She has already been released, and won’t serve the rest of her 30-year sentence.
Daley had seen the preliminary findings of a second judicial inquiry led by former NSW Chief Justice Thomas Bathurst, which found there was reasonable doubt as to Folbigg’s guilt for each of the offences.
At trial, the prosecution had relied on the statistical improbability of so many of her children dying accidentally. However, at the second inquiry, this reasoning was called into question by fresh scientific evidence pointing to possible medical causes of the deaths.' back |
Dedekind cut - Wikipedia, Dedekind cut - Wikipedia, the free encyclopedia, 'I In mathematics, Dedekind cuts, named after German mathematician Richard Dedekind but previously considered by Joseph Bertrand, are а method of construction of the real numbers from the rational numbers. A Dedekind cut is a partition of the rational numbers into two sets A and B, such that all elements of A are less than all elements of B, and A contains no greatest element. The set B may or may not have a smallest element among the rationals. If B has a smallest element among the rationals, the cut corresponds to that rational. Otherwise, that cut defines a unique irrational number which, loosely speaking, fills the "gap" between A and B.' back |
Dixie Chicks, Wide Open Spaces, 'Who doesn't know what I'm talking about?
Who's never left home? Who's never struck out?
To find a dream and a life of their own
A place in the clouds, a foundation of stone
Many precede and many will follow
A young girl's dreams no longer hollow
It takes the shape of a place out West
But what it holds for her, she hasn't yet guessed
She needs wide open spaces
Room to make her big mistakes
She needs new faces
She knows the high stakes
She traveled this road as a child
Wide-eyed and grinning, she never tired
But now she won't be coming back with the rest
If these are life's lessons, she'll take this test
She needs wide open spaces
Room to make her big mistakes
She needs new faces
She knows the high stakes
She knows the high stakes
And as her folks drive away, her dad yells, "Check the oil!"
Mom stares out the window and says, "I'm leavin' my girl"
She said, "It didn't seem like that long ago"
When she stood there and let her own folks know
She needed wide open spaces
Room to make her big mistakes
She needs new faces
She knows the high stakes
She knows the highest stakes
She knows the highest stakes (wide open spaces)
She knows the highest stakes
She knows the highest stakes (wide open spaces)
back |
Fast Fourier transform - Wikipedia, Fast Fourier transform - Wikipedia, 'A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex-number arithmetic to group theory and number theory; this article gives an overview of the available techniques and some of their general properties, while the specific algorithms are described in subsidiary articles linked below.' back |
Frank Lidz, Put a Bird on It? Ancient Egypt Was Way Ahead of Us, ' On the west wall of one extravagantly decorated chamber, today known as the Green Room, the excavators discovered a series of painted plaster panels showcased birds in a lush papyrus marsh. The artwork was so detailed and skillfully rendered that it was possible to pinpoint some of the bird species, including the pied kingfisher (Ceryle rudis) and the rock pigeon (Columba livia).
Recently, two British researchers, Chris Stimpson, a zoologist at the Oxford University Museum of Natural History, and Barry Kemp, an archaeologist at the University of Cambridge, set out to identify the rest of the birds depicted in the panels. . . . ..
For many millenniums, great flocks of birds have soared over Egypt on their twice-yearly passage between Europe and central and southern Africa. Beholding these migrations, ancient Egyptians regarded birds as living symbols of fertility, life and regeneration. With the possible exception of cats, no other animal has been so frequently drawn, painted or sculpted in Egyptian art.' back |
Heidi Ledford, A ‘lost world’ of early microbes thrived one billion years ago, ' Most modern eukaryotes rely on fat-like compounds called sterols, such as cholesterol, to build cell membranes and carry out other cellular functions. Because sterols are found throughout the eukaryotic family tree, they are thought to have been present in the last common ancestor of all modern eukaryotes. For that reason, palaeontologists have used the compounds as a biomarker for the presence of eukaryotes in ancient rocks.
But look further back in time than 800 million years ago, and the sterol-trail runs dry. Researchers have not been able to find traces of the compounds in rocks older than that, despite the existence of fossils of a red and a green alga — both eukaryotes — dating back about one billion years.
This absence has led to speculation that before 800 million years ago, eukaryotes were not abundant enough to leave a detectable sterol trace.
Another possibility, however, was that researchers were looking for the wrong molecules. Benjamin Nettersheim, a geobiologist at the University of Bremen in Germany, Jochen Brocks, a palaeobiogeochemist at the Australian National University in Canberra, and their colleagues decided to focus on short-lived molecules that modern eukaryotes make while synthesizing sterols. Such modern intermediates might have been the end product for primeval eukaryotes.
Wild ocean
The team combed rocks from around the world and found widespread traces of these ‘protosterols’ — evidence that the eukaryotes that produced them were abundant in water environments between 800 million and 1.6 billion years ago.' back |
Jeffrey Nicholls (1992), An essay on the divinity of money , ' The rise of science questioned revelation and the churches as sources of truth, but they have remained in existence because science still lacks the power to ask or answer the fundamental questions of life and death that concern theology.
Here I outline a new scientific theology whose model of god derives not from ancient text but from the mathematical theory of text and communication itself. I propose that this model describes the universe of our experience, which is therefore fittingly called god.
I then interpret this model using elements of current physical theory. These ideas are then applied to money.
The movement of money is an abstract representation of the the activity of society as a whole, just as the flow of momentum in space-time is an abstract representation of the physical universe. My hypothesis is that proper understanding and political control of public cashflows is necessary and sufficient to obtain peaceful civilisation.' back |
Jeffrey Nicholls (1992a), An essay on value, ' Killing
1 We must kill to live. The question before is is whether or not to kill some fraction of the old growth forest (OGF) in the Wingham management area (WMA) in order to keep the sawmilling operation at Mt George alive.
Religion
2 Although the Environmental Impact Statement (EIS), as we have it, is a document based largely on resource, commercial and employment considerations, I believe the Commission is facing a religious issue, and will have no peace until it realizes that fact.
3 Matters of life and death are questions of religion. For those who have power over life and death, deciding what to kill is a question of value. The value system of any organism is determined by the history of its survival.
4 If the decision is good, the benefit from killing will exceed the value of what is destroyed, yielding a profit and enhanced probability of survival. A wrong judgement of value leads to the opposite result.' back |
John Pareles, Astrud Gilberto: 6 Essential Songs, ' Astrud Gilberto, who died on Monday at 83, brought the first, alluring taste of Brazilian bossa nova to countless listeners worldwide. Her collaborations — with Stan Getz, Gil Evans, Stanley Turrentine and others — also helped cement the connections of bossa nova and jazz.
Her voice was disarmingly modest, sometimes hitting notes a little flat and often barely above a whisper; the effect was intimate and seemingly weightless. When she sang in English, her Brazilian accent gave her an endearing hint of awkwardness and approachability, even as her phrasing stayed supple, while the translated lyrics invited a wider audience to hear great Brazilian songwriters like Antonio Carlos Jobim. Her early recordings are her most radiant ones, steeped in the pensive, nostalgic longing that Brazilians call saudade.
Here are six indelible Astrud Gilberto performances.' back |
Kaija Saariaho, Jardin Secret I, ' SONG
Jardin secret I (electronic music)
ARTIST
Kaija Saariaho
ALBUM
Saariaho: Verblendungen / Jardin Secret I / Noanoa' back |
Kaija Saariaho, Innocence, ' Innocence est un opéra de la compositrice finlandaise Kaija Saariaho sur un livret de l'écrivain finlandaise Sofi Oksanen et du dramaturge-traducteur franco-finlandais Aleksi Barrière, créé en 2021 au Festival international d'art lyrique d'Aix-en-Provence. L'histoire raconte le traumatisme que la tragédie d'un massacre de masse par fusillade dans un lycée international a laissé sur les élèves survivants, les familles des victimes et celle de l'auteur. ' back |
Linda Daley, Friday essay: ‘All I am is literature’ – Franz Kafka’s diaries were the forge of his writing, ' Ross Benjamin acknowledges that Brod’s relationship with Kafka was valuable in securing an international reputation, beyond the small and enthusiastic readership he had while he was alive. But this also meant Kafka’s reception was influenced too heavily by Brod’s concern with his own reputation.
Benjamin’s new translation of Kafka’s diaries, in their presentation and arrangement, enables English readers to see them, for the first time, as the forge of his craft. It builds on the German critical edition, as well as decades of work by many scholars. We can now read in the diaries Kafka the writer rather than Kafka the author. . . . ..
Most pleasurably, the new translation restores our sense of proximity to the pen and ink. It allows us to experience the falling off and starting again of sentences, the sometimes awkwardly expressed passages, the unreadable words due to ripped notebook pages, and the arresting effect of marooned and perfectly complete passages that are reforged across several pages.' back |
Mikhail Khodorkovsky, The future of Russia — and its opposition , ' At the initiative of Lithuanian MEP Andrius Kubilius and others, a two-day conference will take place in the European Parliament in Brussels this week, with the participation of over 200 representatives from Russia’s anti-war and opposition groups, journalists, prominent cultural figures, as well as European politicians.
There are just two topics for discussion on the agenda: the future of Russia and the future strategy of the Russian opposition. . . . ..For us, reaching a negotiated agreement with Putin about medium- or long-term issues is out of the question. Merely replacing Putin with another individual with yet another name — without a transition to a parliamentary model of governance with free and fair elections — will change nothing. And a coalition model of transition offers a real possibility of democratization, while a transition through a single revolutionary party guarantees authoritarianism.
What’s more, we believe that the break-up of Russia would be dangerous, not only for Russians but also for the West; that communication with Russian society is no less important than sanctions; and that even though the Kremlin’s unlawful influence on political processes in Western countries has diminished greatly over the past 15 months, it remains significant — and could become stronger.
All in all, it’s important for Western countries to recognize that the broad-based Russian opposition is a crucial ally in the West’s confrontation with the Putin regime — which is fast becoming increasingly fascist.' back |
Monty Python, What have the Romans ever done for us?, back |
Mostafa Rachwani & Antoun Issa, A quarter of Australia’s property investments held by 1% of taxpayers, data reveals, ' Only 1% of Australian taxpayers own nearly a quarter of all property investments across the country, amid concerns over escalating rates of wealth concentration.
Data provided by the Australian Taxation Office has revealed the extent of that concentration, with more than 7% of property investors – or 215,321 people – accounting for 25% of all property investments.
That 7% also have three or more interests in investment properties across the country, with 1% of investors – or just 19,895 people – currently holding six or more investment interests. . . ..
The Tenants’ Union of NSW chief executive, Leo Patterson Ross, said the numbers reflected just how large some investment portfolios can get.
Ross added that a key issue was the fact housing was seen as a “wealth-generating investment” and not a social necessity.
“Taxation, banking practices and light regulation has turned property into primarily a wealth generating investment strategy rather than recognising the use of home as the primary purpose of the renting sector.
“This comes at a cost both to renters and hopeful owner occupiers who face higher and higher prices".' back |
Peano axioms - Wikipedia, Peano axioms - Wikipedia - the free encyclopedia, 'In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are a set of axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used nearly unchanged in a number of metamathematical investigations, including research into fundamental questions of whether number theory is consistent and complete.' back |
Philipp Kastner, What makes peace talks successful? The 4 factors that matter, ' First, peace has a better chance when war is attacked from several sides. Multiple mediation processes can facilitate the inclusion of different stakeholders, such as civil society actors. . . . ..
Second, the organisation or the specific mediator in question must be trusted by the parties. A good example of this is the Catholic Community of Sant-Egidio, which facilitated the conclusion of the peace agreement in Mozambique. . . . ..
A third factor for successful peace talks is timing. Since negotiations typically take place in the shadow of military gains and losses, it’s often assumed that it only makes sense to start negotiations when both sides believe that they can gain more from negotiating than from fighting. . . . ..
Fourth, how “peace” is understood plays a major role. It’s often thought that no fighting means peace, and that an agreement will end violence and suffering almost instantly. This is rarely true. An agreement is only one small step in an often long process. . . . ..
And although every conflict has its own dynamics, poverty, global inequalities and exploitation are always significant factors. Tackling these issues isn’t straightforward, but it would help prevent and resolve armed conflicts, and would pay off in the long run.
Peace is a process, and it requires significant commitment.' back |
Pius XII, Mystici Corporis Christi, 9. For while there still survives a false rationalism, which ridicules anything that transcends and defies the power of human genius, and which is accompanied by a cognate error, the so-called popular naturalism, which sees and wills to see in the Church nothing but a juridical and social union, there is on the other hand a false mysticism creeping in, which, in its attempt to eliminate the immovable frontier that separates creatures from their Creator, falsifies the Sacred Scriptures.' . . .
Given at Rome, at St. Peter's on the twenty-ninth day of June, the Feast of the Holy Apostles Peter and Paul, in the year 1943, the fifth of Our Pontificate.' back |
Richard Meyer, The Supreme Court Is Wrong About Andy Warhol, ' Warhol was most original in the way he dismantled the idea of originality. I did not include this formulation in my brief for fear that it was too abstruse. As it turned out, there was someone much more central to the proceedings who understood the point quite clearly. In her impassioned dissent, Justice Elena Kagan writes: “Warhol is a towering figure in modern art not despite but because of his use of source materials. His work — whether Soup Cans and Brillo Boxes or Marilyn and Prince — turned something not his into something all his own. Except that it also became all of ours, because his work today occupies a significant place not only in our museums but in our wider artistic culture".' back |
Richard Monatersky & Pablo Albaerenga, Ancient Giants, back |
SCMP Editorial, Greater clarity needed on how to legally mark the June 4 anniversary, ' The anniversary of the Tiananmen crackdown, 34 years ago on Sunday, carries special significance for many Hong Kong people. For almost 30 years, it was marked by a mass candlelit vigil attended by tens of thousands in Victoria Park. The event remembered those who died when the student-led protests were crushed on June 4, 1989.
The vigil, peaceful and moving, was seen around the world as compelling evidence of Hong Kong’s enduring freedoms after the city’s return to China in 1997. But it has not been held for four years. . . . ..
Last year, no one attempted to organise the event, amid fears it may breach the national security law or cross other legal red lines.
This year, no application has been made. The event was run by the Hong Kong Alliance in Support of Patriotic Democratic Movements in China, which disbanded in 2021. Three of its leaders are awaiting trial, accused of inciting subversion.' back |
Sean Ingle, Saudi Arabia’s deal with PGA is major step in relentless sportswashing saga, ' Looking back, so much of it was already there on that night in Diriyah when a storm raged across the desert and Anthony Joshua made history – and £60m – by retaining his world heavyweight title belts. Not just the good, the bad and the ugly of Saudi Arabia’s sporting ambitions, but the accommodations of those willing to take the money and look the other way. back |
Simon Longstaff, Self-interest versus public good: the untold damage the PwC scandal has done to the professions, ' There are many components to this ethical infrastructure. However, one of the most important is the professions – whose members influence nearly every aspect of our lives. To understand their distinctive role, one needs to recognise the difference between two “worlds”: those of the market on one hand, and the professions on the other.
The essential character of the market was defined by Scottish economist and philosopher Adam Smith. It is a place where self-interested actors satisfy the wants of others. . . . ..
The second world – the professions – is, in two respects, the opposite of the market. First, members of the professions do not satisfy the wants of others; they are obliged to serve the interests of others.. . . ..
Second, professionals are obliged to put aside self-interest in favour of the public good. For example, as officers of the court, lawyers are obliged to help in the administration of justice.. .. ..
We do not know the full extent of what happened at PwC. However, it seems likely that, at some point, some part of the firm abandoned the world of the professions in favour of the market – placing self-interest before all other considerations.. . ..
Now we are left to wonder. Was this just a small part of PwC, or has the rot infected larger parts of the company? . . . ..
Most troubling of all, can society still rely on the social compact it has struck with the professions more generally? Or has this once-vital piece of ethical infrastructure fallen into disrepair?'
back |
Stephen Wolfram, What Is ChatGPT Doing … and Why Does It Work?, ' The first thing to explain is that what ChatGPT is always fundamentally trying to do is to produce a “reasonable continuation” of whatever text it’s got so far, where by “reasonable” we mean “what one might expect someone to write after seeing what people have written on billions of webpages, etc.”
So let’s say we’ve got the text “The best thing about AI is its ability to”. Imagine scanning billions of pages of human-written text (say on the web and in digitized books) and finding all instances of this text—then seeing what word comes next what fraction of the time. ' back |
Tim Alberta, Inside the Meltdown at CNN, back |
Will Oremus, AI chatbots lose money every time you use them. That’s a problem., ' “The models being deployed right now, as impressive as they seem, are really not the best models available,” said Tom Goldstein, a computer science professor at the University of Maryland. “So as a result, the models you see have a lot of weaknesses” that might be avoidable if cost were no object — such as a propensity to spit out biased results or blatant falsehoods.
The tech giants staking their future on AI rarely discuss the technology’s cost. OpenAI (the maker of ChatGPT), Microsoft and Google all declined to comment. But experts say it’s the most glaring obstacle to Big Tech’s vision of generative AI zipping its way across every industry, slicing head counts and boosting efficiency.' back |
|