TryThinking

PhD Tony calls me a #FlatEarther and talks about #Geometry, learn more about #FlatEarthGeometry and how dangerous it is to the globe model at #EmmaUK discord.gg/WFBHAFV

In 1994, the UK tried to ban raves. The Prodigy answered with this:

@JasonBassler1 The false dichotomy is a control method #TryThinking

Montagu Norman was the most powerful central banker of the early 20th century. In a 1924 speech to the United States Bankers Association, he said: “By dividing the voter through the political party system, we can get them to expend their energies in fighting for questions of no importance.” 100 years later, people are still trapped in the same left-vs-right divide while the State keeps expanding.

All 13 episodes of Kenneth Clark's Civilisation are available to watch on archive.org Here's the link archive.org/details/kennet…

You did not receive a real education. Today, we think of education as a litany of scattered disciplines that you study for careerism and social mobility. But a classical education was different. It taught you the seven liberal arts to liberate your soul... First, you learned the Trivium: • Grammar • Logic • Rhetoric Once you could think, speak, and articulate yourself clearly, you moved to the Quadrivium: • Arithmetic • Music • Geometry • Astronomy The Quadrivium is about training you to see order in reality itself. Nature has an intelligent design and you are connected to it: you belong in the cosmos. The difference with a true liberal arts education is not simply what you study, but *why* you study it. A classical liberal arts education taught you how to find God — the Transcendent Good was the end point of all education. Instead of a set of independent disciplines, education was a deeply interconnected moral pursuit, teaching you to be attuned with truth, beauty, and goodness. This interconnectedness is why the 7 liberal arts are presented as a wheel. And have you noticed that the symbol of the 7 liberal arts is strikingly similar to the rose windows of Gothic cathedrals? That's no coincidence. Rose windows symbolize Heaven, suggesting that reality itself is patterned after them — and this same circular pattern is the symbol of classical education in the liberal arts. The implication is that the liberal arts liberate your soul by forming you according to the pattern of Heaven itself. Education is preparation for eternity. athenaeumbooks.com/welcome This is from a longer essay published in our newsletter — join us!

The Unit Circle: Sines and Cosines in Motion

Russell on Plato and Aristotle “Assuredly Plato was a man of great genius, and Aristotle was comprehensively encyclopedic; but in their modern disciples they can inspire only error. An hour with Galileo or Newton will give you more help towards a sound philosophy than a year with Plato and Aristotle. But if you go to a university, this will not be the opinion of your professors. The scientific spirit, the scientific method, the framework of the scientific world, must be absorbed by any one who wishes to have a philosophic outlook belonging to our time, not a literary antiquarian philosophy fetched out of old books.” — Bertrand Russell, The Art of Philosophizing: And Other Essays

“From the outside, you seem mature with a philosopher's mind. But inside, you're just a child lost in a sweet delusion.” — Fyodor Dostoevsky

@truthache68 @AdamJoshDotCom Don’t forget about Job

😆😅 POV: You ‘test all things’ like the Bible says and suddenly NASA CGI doesn’t hit the same. Started laughing at flat earthers, ended up questioning everything… which one are you? 🤔😏

Like that fat friend protecting the snacks

@scievision369 Triangles in reality still have 180⁰

Spherical Trigonometry ✍️ It is the math we use for triangles on round surfaces like a ball or the Earth, instead of flat paper. In a flat triangle (shown at the top), the sides are straight lines. We use simple rules to relate the side lengths and angles. But on a sphere (shown at the bottom), the sides are curved arcs along the surface, and the usual flat rules no longer work correctly. Spherical trigonometry provides special rules that account for the curve of the sphere. This helps us calculate real-world things like the shortest flight distance between two cities, ship routes across oceans, star positions in the sky, or directions on a globe. For small triangles, the difference is minor, but for large ones covering big areas of the Earth, the spherical version is crucial because the surface bends and the angles add up to more than 180 degrees.

Divergence describes the physical behaviour of a vector field, such as fluid flow or an electromagnetic field, at a specific point in space. Positive Divergence: The point acts as a "source." The field is expanding outward, indicating a net flow away from the centre (e.g., expanding gas or thermal radiation). Negative Divergence: The point acts as a "sink." The field is compressing inward, indicating a net flow toward the centre (e.g., a fluid drain or gravitational collapse). Zero Divergence: The flow is incompressible. The field is uniform and steady; the exact amount of flow entering a given region perfectly balances the amount leaving.

Whenever a Muslim & Christian get along A jew tries to intervene

@TheMathFlow This world does not recognise a square as a circle.

Yes, These Are All Circles.

“Freud is constantly claiming to be scientific. But what he gives is speculation—something prior even to the formation of a hypothesis.” Ludwig Wittgenstein, Conversations on Freud

@Math_files Or maybe not.

Imagine a single dot with no size at all. This is zero dimension. Now stretch that dot and it becomes a line. This is the first dimension. If you spread that line, it forms a square, which is the second dimension. Now lift that square and it becomes a cube. This is the third dimension, made of length, width, and height. This is the world we can see and experience. But the story does not end here. Imagine moving this cube in a completely new direction, one that we cannot see or perceive. What would that create? That is the fourth dimension. We cannot observe it directly, but we can understand its effects. Just as a three dimensional object casts a shadow in a two dimensional world, higher dimensions may influence our reality in ways we do not fully understand. Perhaps we are not seeing the complete picture. Maybe the limitation is not in the universe, but in our perception.

“Nothing shows a man's character more than what he laughs at.” — Goethe

@KnowledgeArchiv I laughed at that.

A German woman proved a single theorem in 1915 that quietly became the foundation of every law of physics on Earth. She taught for seven years without pay because the University of Göttingen refused to hire a woman. Then she fled the Nazis and died in Pennsylvania at 53. I started reading about her and could not believe how much of modern physics traces back to one woman the world refused to pay for her work. Her name was Emmy Noether. The theorem is called Noether's theorem. Every law of physics ever discovered. Conservation of energy. Conservation of momentum. The Standard Model. General relativity. Quantum field theory. All of them are direct consequences of a single mathematical insight she proved 110 years ago. And most physics students will graduate without ever hearing her name once. Emmy Noether was born in 1882 in Erlangen, Germany. Her father was a respected mathematician at the local university. The university would not allow women to enroll as students. So she audited classes from the back of the room and was not allowed to receive credit for anything she learned. She finished her PhD anyway in 1907. Then she could not get a job. For seven years she worked at the Mathematical Institute in Erlangen without a single paycheck. She supervised students. She published papers. She filled in for her aging father when he was too sick to teach. She did the work of a full professor and was paid nothing. There was no policy preventing her payment. There was simply no precedent for paying a woman. In 1915 David Hilbert and Felix Klein invited her to Göttingen, the most important mathematics department in the world. Hilbert wanted her there because he was working on Einstein's new general relativity and there was a problem nobody could solve. The philosophy faculty blocked her hiring. They argued returning soldiers should not learn from a woman. Hilbert stood up in the faculty meeting and said the line that has echoed for a century. He did not see how the sex of the candidate could be an argument against her admission, because the university senate was not a bathing establishment. She still was not hired. So Hilbert listed her courses under his own name on the official schedule. She taught them under his title. This is how the most important mathematician of the 20th century was forced to operate for years inside one of the most prestigious universities in the world. That same year she solved Hilbert and Einstein's problem. The puzzle was technical. In general relativity, energy did not seem to be conserved the way classical physics required. Einstein could not figure out why. Hilbert could not figure out why. Noether figured out why in a few months. Then, instead of just solving their specific problem, she proved a much deeper theorem that solved every problem of that shape forever. Her result was this. Every continuous symmetry in a physical system corresponds to a conservation law. If the laws of physics do not change over time, energy must be conserved. If they do not change with location, momentum must be conserved. The conservation laws were not separate facts. They were inevitable consequences of the symmetries underneath the universe. This single theorem is the foundation of every law of physics ever discovered after her. The Standard Model is built on it. The Higgs boson Nobel Prize is built on it. Quantum field theory is built on it. Einstein read her paper and wrote to Hilbert that he was astonished. He had never met anyone with her capacity for abstract thought. She finally got a paid teaching position in 1923. She was 41. She had been doing professor-level work for 16 years without compensation. While the German physicists kept getting credit for the consequences of her theorem, she quietly founded modern abstract algebra. The structures we now call Noetherian rings are named after her. Modern algebraic geometry, the math that powers cryptography and parts of machine learning, runs on her foundations. Then the Nazis came. In 1933 she was fired for being Jewish. Bryn Mawr College in Pennsylvania offered her a position. She took it. She taught there for two years that were among the most productive of her life. In April 1935 she went in for routine surgery to remove an ovarian cyst. Complications developed. She died four days later. She was 53. Einstein wrote a public letter to the New York Times the day after her death. He said she was the most significant creative mathematical genius thus far produced since the higher education of women began. Almost nobody reading that letter knew her name. She is buried in the courtyard of the library at Bryn Mawr College. The grave is small. Most students walk past it without noticing. The woman who built the mathematical foundation of modern physics was paid almost nothing for almost all of it. The world she worked in told her every single day that she did not belong there. She built it anyway.