Faint gibbering heard from somewhere near the restricted stacks
Tag Archives: mathematics
Solving a problem for which you know there’s an answer is like climbing a mountain with a guide, along a trail someone else has laid. In mathematics, the truth is somewhere out there in a place no one knows, beyond all the beaten paths. And it’s not always at the top of the mountain. It might be in a crack on the smoothest cliff or somewhere deep in the valley.
I sailed for Ceylon, chiefly because I had said I would go, certainly not in the hope of assistance from Allan. Perhaps because I had found my feet, he was, as will appear, allowed to guide them, in what seemed at first sight a new Path. I had got to learn that all roads lead to Rome. It is proper, more, it is prudent, more yet, it is educative, for the aspirant to pursue all possible Ways to Wisdom. Thus he broadens the base of his Pyramid, thus he diminishes the probability of missing the method which happens to suit him best, thus he insures against the obsession that the goat-track of his own success in the One Highway for all men, and thus he discounts the disappointment of discovering that he is not the Utter, the Unique, when it becomes plain that Magick, mysticism, and the mathematics are triplets, and that the Himalayan Brotherhood is to be found in Brixton.
Eternal truths are ultimately invisible, and you won’t find them in material things or natural phenomena, or even in human emotions. Mathematics, however, can illuminate them, can give them expression—in fact, nothing can prevent it from doing so.
Quality has a quantity of its own, according to Stephen Barr’s accessible account of topology and related mathematical concepts.
This book is excellent for an intelligent adult looking to return to mathematical investigation, without building on a recent “core study” of algebra, geometry, and differential calculus. The issues of exotic topological surfaces, networks, continuity and discreteness, and set theory are all approached in a candid manner with efficient examples. Despite the informality of the prose, anyone reading this like a novel will get very little out of it. This is really a math book, and it often requires the reader to take considerable time to assimilate new ideas.
Part of Barr’s approach to the abstractions of topology is to encourage the reader to construct paper models to approximate some of the surfaces introduced. These exercises are quite worthwhile. Although there is no “test,” the book does include a number of interesting puzzles applying the concepts discussed. [via]
“Now, a study claims neutron emissions from an ancient earthquake that rocked Jerusalem could have created the iconic image, as well as messed up the radiocarbon levels that later suggested the shroud was a medieval forgery. But other scientists say this newly proposed premise leaves some major questions unanswered.”
shota-purinsu, a Tumblr comment; from the you’re-my-medicine-open-up-and-let-me-in dept.
“Jesus also affirms the homosexual relationship between the Roman Centurion and his ‘slave’. The particular Greek word used to refer to this special slave was ‘pais’. Greek language studies and contexts show that a ‘pais’ was a male love slave. Regular slaves were called ‘dolos’. The Centurion makes this distinction clearly when he asks Jesus to heal his slave (pais), and then to prove his status he tells Jesus that his slaves (dolos) go when he tells them to. But this slave (pais) was special. He was the Centurion’s lover.
Hearing this, Jesus was so amazed he says he had not found ANYONE ELSE who had such great faith. He then blesses the Centurion and heals his male lover.”
“Luke and I were looking at Hieronymus Bosch’s painting The Garden of Earthly Delights and discovered, much to our amusement, music written upon the posterior of one of the many tortured denizens … I decided to transcribe it”
“Democracy loses its character as a disruptive element, a force of dissent, an insurrectional call for responsible change, and degenerates into an assault on the radical imagination, reconfigures itself as a force for bleaching all ethical and moral considerations, and thrives in a state of exception, which in reality is a state of permanent war.”
“He says that those people who passionately believe that a disarmed populace under tyrannical rule is a problem have a well-taken point. But that notion, ‘still comes from a consciousness platform of fear,’ he says. ‘And if that is the focus of your life, you’re missing out on a great deal. It’s not that there’s nothing to be afraid of, but if that’s going to be the primary focus of your life, you’ve already surrendered. And if fear is the reason you want to arm yourself, you’re probably the last person who needs to be armed for all of our safety.'”
“Was the Christian God cool with slavery? Slave owners sure thought so — and had plenty of Biblical canon to support it. Abolitionists disagreed. Did God want women to vote? Not according to anti-suffragists. Suffragists were convinced otherwise. If society continues this descent into level-headed compassion, fifty years from now people will be claiming that God is pro-fur and factory farming. When one cannot defend a belief in the current context, moving the framework back a few thousand years and putting the blame on God is a pretty good fallback strategy.
I know, I know. There’s only one God and he is not at all ambiguous: he agrees with you. It’s all right there in the Bible or whatever holy book you believe in, as you have decided to interpret it. It’s perfectly clear, right?”
“The archaeologists, Erez Ben-Yosef and Lidar Sapir-Hen, used radiocarbon dating to pinpoint the earliest known domesticated camels in Israel to the last third of the 10th century B.C. — centuries after the patriarchs lived and decades after the kingdom of David, according to the Bible. Some bones in deeper sediments, they said, probably belonged to wild camels that people hunted for their meat. Dr. Sapir-Hen could identify a domesticated animal by signs in leg bones that it had carried heavy loads.”
“In short, while materialism encourages that characteristically modern form of political collectivism in which sacrifices that bring about the greater good are taken to be morally imperative, at the same time it leads to a world of individuals who have a sense of their own absolute uniqueness and importance—if only to themselves. The attempt to find a standpoint that can integrate this radical individualism with the claims of the common good is the great underlying ethical and political problem of modern life. It also gives a framing perspective to Ronald Dworkin’s marvelous little book, Religion without God, and helps explain how a brilliant young lawyer like Dworkin should have ended up pondering issues of theology.”
“And in the past few years, we have seen pro-life Christian groups successfully lobby State legislatures to restrict access to abortions. They have also raised religious, not public policy, objections to the government funding birth control.
But here’s the alarming thing: These views are no longer the fringe of American politics. They are increasingly becoming mainstream conservative fare.”
“Where Coots is different is that he was just following the Bible as he interpreted it. Coots was just reading the Bible literally. It’s something that many Americans do on a daily basis. But God’s Holy Word is more dangerous than you’d think.”
“I am not so sure. But I know I won. Every word I wrote is burned into me, flesh and blood and breath. By throwing them away, I made them even more mine, something nobody could take away even if they killed me, secrets hidden inside me, in the only places I had left.
Now I write other stories. Between the bars, I catch glimpses of those things. Exorcism is an ongoing process.”
“Divinity reveals herself in all things. Everything has Divinity latent within itself. For she enfolds and imparts herself even unto the smallest beings, and from the smallest beings, according to their capacity. Without her presence nothing would have being, because she is the essence of the existence of the first unto the last being.”
“The work of the Greek polymath Plato has kept millions of people busy for millennia. A few among them have been mathematicians who have obsessed about Platonic solids, a class of geometric forms that are highly regular and are commonly found in nature.
Since Plato’s work, two other classes of equilateral convex polyhedra, as the collective of these shapes are called, have been found: Archimedean solids (including truncated icosahedron) and Kepler solids (including rhombic polyhedra). Nearly 400 years after the last class was described, researchers claim that they may have now invented a new, fourth class, which they call Goldberg polyhedra. Also, they believe that their rules show that an infinite number of such classes could exist.”
“If no human can check a proof of a theorem, does it really count as mathematics? That’s the intriguing question raised by the latest computer-assisted proof. It is as large as the entire content of Wikipedia, making it unlikely that will ever be checked by a human being.
‘It might be that somehow we have hit statements which are essentially non-human mathematics,’ says Alexei Lisitsa of the University of Liverpool, UK, who came up with the proof together with colleague Boris Konev.”
“A set of mathematical laws that I call the Improbability Principle tells us that we should not be surprised by coincidences. In fact, we should expect coincidences to happen. One of the key strands of the principle is the law of truly large numbers. This law says that given enough opportunities, we should expect a specified event to happen, no matter how unlikely it may be at each opportunity. Sometimes, though, when there are really many opportunities, it can look as if there are only relatively few. This misperception leads us to grossly underestimate the probability of an event: we think something is incredibly unlikely, when it’s actually very likely, perhaps almost certain.”
“Throughout history, anatomical illustrations have been made using the recently deceased as models, and many of Leonardo’s sketches were no exception. Ashrafian says that the man who served as Leonardo’s model for his illustration of human perfection probably had a hernia. If the model was a corpse, the hernia may have been what killed him. If he was a live model, he may ultimately have died from its complications.”
“The MU Libraries have more than 3 million books in their collections, and they ran out of space to store those books years ago.
Recently it was discovered that 600,000 books, approximately 20 percent of MU’s entire collection, were covered in mold. The damaged books were being stored in an underground cavern north of Interstate 70. The cavern, Sub Terra, is run by an independent company.
The books in storage were lesser-used books that the libraries did not have room for in their open stacks. Some of the stored texts were published prior to the Civil War.
Library administrators will not be able to save all 600,000 texts because there is not enough money in library funds to do so.”
“Canadian libricide” — Cory Doctorow, Boing Boing; from the where-is-your-science-now dept.
“Back in 2012, when Canada’s Harper government announced that it would close down national archive sites around the country, they promised that anything that was discarded or sold would be digitized first. But only an insignificant fraction of the archives got scanned, and much of it was simply sent to landfill or burned.”
“Microscopic investigations on the world famous statuette from the Gravettian period (30,000 to 22,000 years ago) carried out at the Natural History Museum in Vienna revealed three incredible insights, and when taken together tell a secret story of this Palaeolithic figurine and her creators.
· The limestone from which the 11cm high Venus had been carved, comes almost certainly from the region around the Moravian city of Brno 136km to the northeast of Willendorf.
· The source of the flint blades discovered with the figure was North Moravia, a further 150km to the north.
· The Venus had once been completely painted with red ochre, and given the ritualistic associations of this material meant that the figure was more than likely a cultic object.”
“Old Man and Old Woman settled their ancient bones back into the remnants of creatures native to their wild domain, no doubt having missed their shrine and the once regular offerings to be found there. The Moon’s candle was restored to its place above breasts and belly carved from stone, surrounded by offerings. She eats beeswax greedily like blood offerings, leaving nothing behind. A candle lit to welcome the spirits back with sweetest incense burned and fresh water poured to sate their hunger. The spirits sigh happily, the new house sighs like a person with a once empty belly filled. Even breathing feels easier now with the altar and all its spirits in their proper place of reverence.”
“At last love has come. I would be more ashamed
to hide it in cloth than leave it naked.
I prayed to the Muse and won. Venus dropped him
in my arms, doing for me what she
had promised. Let my joy be told, let those
who have none tell it in a story.
Personally, I would never send off words
in sealed tablets for none to read.
I delight in sinning and hate to compose a mask
for gossip. We met. We are both worthy.”
“The research, conducted by Erin Buckels of the University of Manitoba and two colleagues, sought to directly investigate whether people who engage in trolling are characterized by personality traits that fall in the so-called Dark Tetrad: Machiavellianism (willingness to manipulate and deceive others), narcissism (egotism and self-obsession), psychopathy (the lack of remorse and empathy), and sadism (pleasure in the suffering of others).
It is hard to underplay the results: The study found correlations, sometimes quite significant, between these traits and trolling behavior. What’s more, it also found a relationship between all Dark Tetrad traits (except for narcissism) and the overall time that an individual spent, per day, commenting on the Internet.”