>16357804
The are no "liberal TV waters" the media companies are owned and operated seditious cultist who are neither liberals or conservative but predatory pedovores.
If after 4 years we can't tell the difference between what we think we know what we heard somewhere, or saw in a video. ie common knowledge.
No one can force us to learn anything, but the way learning starts is by listening
repost from 2018 QR Hall Of Fame nominees list.
The strange case of Father Malachi Martin, the Kerry priest who stars in Netflix's new documentary
"We may live in a largely post-religious world, but for most of us, there's something enduringly compelling about things like Ouija boards, haunted houses, demonic possession and exorcisms.
While the rational brain insists none of this is possible, some deeper, more elemental part of the psyche still feels that tickle of dread from time to time.
Hostage to the Devil, which launches on Netflix this weekend, examines the work of Father Malachi Martin, a Kerryman who claimed to have performed several exorcisms in America and still, 17 years after his death, remains something of a cult figure (no pun intended).
The film was made by Dublin-based Underground Films and Causeway Pictures in Belfast. The trailer promises a dramatic, unnerving story of faith, terror and tortured souls - though whether "soul" is meant metaphorically or literally is up to the viewer to decide."
First, we have to remind ourselves of what was going on in mathematics in the latter half of the nineteenth century, when Dodgson wrote his story. It was a turbulent period for mathematicians, with the subject rapidly becoming more abstract. The discoveries of non-Euclidean geometries, the development of abstract (symbolic) algebra that was not tied to arithmetic or geometry, and the growing acceptance - or at least use - of "imaginary numbers" were just some of the developments that shook the discipline to its core. By all accounts, Dodgson held a very traditionalist view of mathematics, rooted in the axiomatic approach of Euclid's Elements. (He was not a research mathematician, rather he tutored the subject.) Bayley describes him as a "stubbornly conservative mathematician," who was dismayed by what he saw as the declining standards of rigor. The new material Dodgson added to the Alice story for publication, she says, was a wicked satire on those new developments.
Perhaps the most obvious example is the Cheshire Cat, which disappears leaving only its grin, an obvious reference - critical in Dodgson's case - to increasing abstraction in the discipline.
For a more focused example, take the chapter "Advice from a caterpillar." Alice has fallen down the rabbit hole and eaten a cake that has shrunk her to a height of just 3 inches. The Caterpillar enters, smoking a hookah pipe, and shows Alice a mushroom that can restore her to her proper size. But one side of the mushroom stretches her neck, while another shrinks her torso, so she must eat exactly the right balance to regain her proper size and proportions. Bayley believes this expresses Dodgson's view of the absurdity of symbolic algebra.
The first clue, she says, may be the pipe. The word "hookah" is of Arabic origin, like "algebra". More to the point, the original Arabic term for algebra, widely known and used in the mathematical community in Dodgson's time, was al jebr e al mokabala or "restoration and reduction" - which exactly describes Alice's experience. Restoration was what brought Alice to the mushroom: she was looking for something to eat or drink to "grow to my right size again," and reduction was what actually happened when she ate some: she shrank so rapidly that her chin hit her foot.
Bayley suggests that the overall madness of Wonderland reflects Dodgson's views on the dangers of this new symbolic algebra. Alice has moved from a rational world to a land where even numbers behave erratically. In the hallway, she tries to remember her multiplication tables, but they have slipped out of the base-10 number system she is used to.
In the caterpillar scene, Alice's height fluctuates between 9 feet and 3 inches. Alice, bound by conventional arithmetic where a quantity such as size should be constant, finds this troubling: "Being so many different sizes in a day is very confusing," she complains. "It isn't," replies the Caterpillar, who lives in this absurd world.
The Caterpillar's warning, at the end of this scene, is perhaps one of the most telling clues to Dodgson's conservative mathematics, Bayley suggests. "Keep your temper," he announces. Alice presumes he's telling her not to get angry, but although he has been abrupt he has not been particularly irritable at this point, so it's a somewhat puzzling thing to say. But the word "temper" has another meaning of "the proportion in which qualities are mingled." So the Caterpillar could well be telling Alice to keep her body in proportion - no matter what her size. This may be another reflection of Dodgson's love of Euclidean geometry, where absolute magnitude doesn't matter: what's important is the ratio of one length to another. To survive in Wonderland, Alice must act like a Euclidean geometer, keeping her ratios constant, even if her size changes.
Of course, she doesn't. She swallows a piece of mushroom and her neck grows like a serpent with predictably chaotic results - until she balances her shape with a piece from the other side of the mushroom. This is an important precursor to the next chapter, "Pig and pepper", where Dodgson parodies another type of geometry. By this point, Alice has returned to her proper size and shape, but she shrinks herself down to enter a small house. There she finds the Duchess in her kitchen nursing her baby, while her Cook adds too much pepper to the soup, making everyone sneeze except the Cheshire Cat. But when the Duchess gives the baby to Alice, it turns into a pig.
…"
https://www.newscientist.com/article/mg20427391-600-alices-adventures-in-algebra-wonderland-solved/