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🔴 **Welcome**

Thank you for visiting this humble account. I hope the time you spend here will be informative. If a particular toot brought you here, please do view other toots from different subject areas. You never know what new topics may interest you.

📖 **Reaching The End**

I have reached page 704 of a book that is 730 pages in total. I currently have a virus, and I am struggling to concentrate. It is becoming increasing more difficult to reach the end. I am near; but, not near enough!

@bookstodon

📚 :youtube: **the most obvious reason to read a book, today**

Tim DeMoss

length: six minutes and five seconds.

🔗 youtube.com/watch?v=it_tjVzIQQ.

@bookstodon

🛰️ **Astronomy Picture of the Day**

“_This stunning portrait of NGC 5335 was captured by the Hubble Space Telescope. Some 170,000 light-years across and over 200 million light-years away toward the constellation Virgo, the magnificent spiral galaxy is seen face-on in Hubble's view._”

🔗 apod.nasa.gov/apod/astropix.ht.

@astronomy

>40% drop at Port of LA isn't exactly "local" news.

That's the bottom dropping out at the biggest container port in the Western Hemisphere

cbsnews.com/losangeles/news/la

🇺🇸 :youtube: **How Bond Vigilantes Made Trump Blink**

Bloomberg Originals

“_US President Donald Trump retreated from his sweeping “reciprocal” tariffs after a bond selloff sent Treasury yields soaring. But who are the much-feared bond vigilantes behind his reversal?_”

length: ten minutes and fifty-four seconds.

🔗 youtube.com/watch?v=5vB8wB1lDF.

@economics

🇬🇧 🇺🇸 **UK trade with the United States: 2024**

“_In 2024, the UK imported £57.1 billion of goods from the United States (9.7% of all goods imports) and exported £59.3 billion of goods (16.2% of all goods exports)._”

Office for National Statistics (ONS), released 25 April 2025, ONS website, article, ons.gov.uk/economy/nationalacc.

@economics

**Chauvinism**

Dave Wilton

“_The original sense of the word was jingoism or superpatriotism, the blind, bellicose, and unswerving belief that one’s country is always in the right._”

🔗 wordorigins-org.ghost.io/chauv.

@linguistics

💻 **‘Squared blunder’: Google engineer withdraws preprint after getting called out for using AI**

_An expert in AI at Google has admitted he used the technology to help write a preprint manuscript that commenters on PubPeer found to contain a slew of AI-generated phrases like “squared blunder” and “info picture.”_

🔗 retractionwatch.com/2025/04/24.

@ai

A tale of civilizational decline and rebirth.

Around 250 BC Archimedes found a general algorithm for computing pi to arbitrary accuracy, and used it to prove that 223/71 < π < 22/7. This seems to be when people started using 22/7 as an approximation to pi.

By the Middle Ages, math had backslid so much in Western Europe that even scholars believed that pi was actually equal to 22/7.

Around 1020, a mathematician named Franco of Liège got interested in the ancient Greek problem of squaring the circle. But since he believed that π is 22/7, he started studying the square root of 22/7. 🙄

There's a big difference between being misinformed and being stupid. Liège was misinformed but not stupid. He went ahead to prove that the square root of 22/7 is irrational!

His proof resembles the old Greek proof that the square root of 2 is irrational. I don't know if Liège was aware of that. I also don't know if he noticed that if pi were 22/7, it *would* be possible to square the circle with straightedge and compass. I also don't know if he wondered *why* pi was 22/7. He may have just taken it on authority.

But still: math was coming back.

Liège was a student of a student of the famous scholar Gerbert of Aurillac (~950–1003), who studied in the Islamic schools of Sevilla and Córdoba, and thus got some benefits of a culture whose mathematics was light years ahead of Western Europe. Gerbert wrote something interesting: he said that the benefit of mathematics lie in the "sharpening of the mind".

I got most of this interesting tale from the book "3000 Years of Analysis", which turns out to be quite fun to read. It's over 700 pages long, but you can start anywhere!

mathscholar.org/2019/02/simple

**Bursting your bubble: Chewing gum releases microplastics into your saliva, UCLA research shows**

“_The research suggests that regular gum chewers could potentially be ingesting tens of thousands of microplastic particles a year, although the health effect is not known._”

🔗 universityofcalifornia.edu/new.

@science

☀️ 🛰️ **Solar Orbiter’s widest high-res view of the Sun**

_“The image you see here combines a whopping 200 individual images into the widest high-resolution view of the Sun yet.”_

🔗 esa.int/ESA_Multimedia/Images/.

📖 :youtube: **Stop Silent Reading - Try This Instead**

Robin Waldun

“_A video on why we struggle to stay awake and make our reading more immersive, and an overlooked technique for overcoming this._”

length: twelve minutes and twenty-seven seconds.

🔗 youtube.com/watch?v=UPFRZkpRvK

@bookstodon

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