Fields Of Mathematics

fields of mathematics

number theory: The Queen of Mathematics, in that it takes a lot from other fields and provides little in return, and people are weirdly sentimental about it.

combinatorics: Somehow simultaneously the kind of people who get really excited about Martin Gardner puzzles and very serious no-nonsense types who don’t care about understanding why something is true as long as they can prove that it’s true.

algebraic geometry: Here’s an interesting metaphor, and here’s several thousand pages of work fleshing it out.

differential geometry: There’s a lot of really cool stuff built on top of a lot of boring technical details, but they frequently fill entire textbooks or courses full of just the boring stuff, and they seem to think students will find this interesting in itself rather than as a necessary prerequisite to something better. So there’s definitely something wrong with them.

category theory: They don’t really seem to understand that the point of generalizing a result is so that you can apply it to other situations.

differential equations: physicists

real analysis: What if we took the most boring parts of a proof and just spent all our time studying those?

point-set topology: See real analysis, but less relevant to the real world.

complex analysis: Sorcery. I thought it seemed like sorcery because I didn’t know much about it, but then I learned more, and now the stuff I learned just seems like sorcery that I know how to do.

algebraic topology: Some of them are part of a conspiracy with category theorists to take over mathematics. I’m pretty sure that most algebraic topologists aren’t involved in that, but I don’t really know what else they’re up to.

functional analysis: Like real analysis but with category theorists’ generalization fetish.

group theory: Probably masochists? It’s hard to imagine how else someone could be motivated to read a thousand-page paper, let alone write one.

operator algebras: Seems cool but I can’t understand a word of it, so I can’t be sure they’re not just bullshitting the whole thing.

commutative/homological algebra: Diagram chases are of the devil, and these people are his worshipers.

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More Posts from Middlering and Others

2 months ago

RAHHH THE ONLY CORRECT WAY TO START 2025!!


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2 months ago

new rules for chess:

1. Friendly Fire ON

2. Landmines

3. If a player loses both of their bishops, the king can now legally divorce the queen without the papal go ahead. This puts the queen into FRENZY mode.

4. Once per game, a player may change one letter in a piece's name to change its role. The rook is now a book. The pawn is now a PAWG. The queen is now...well...I shan't say

5. Knights are now Horses

6. Horses are immune to landmines

7. Pawns can move back a space if they forgot something

8. A bishop can be combined with an adjacent rook to create the Wizard Tower piece

9. Each player now has 2 rows of pawns


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3 months ago

Just stumbled upon a great philosophical debate while listening to a playlist on shuffle.

The esteemed philosopher Bill Joel puts forward that "It's still rock and roll to me" confidently declaring that rock and roll remains to some extent constant in how much it rocks.

However, his point is immediately challenged by philosopher Bob Seger who posits that "Todays music ain't got the same soul" and that he "Likes that old time rock and roll". Confidently declaring that rock and roll has declined in its rockness.

This is truly one of the most important debates facing philosophy today.


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2 months ago

Sorrow

It is another kind of sorrow,

To watch the words that have once played with you -

Run away,

Afraid,

For they cannot bear the burden

Of your heavy heart.


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1 week ago
So I Recently Stumbled On The Wikipedia Article For The Grothendieck-Riemann-Roch Theorem, Which Is An

So I recently stumbled on the Wikipedia article for the Grothendieck-Riemann-Roch theorem, which is an algebraic geometry thing that I'll hopefully learn some day once I actually have the prerequisite knowledge =w= But at the top of the article was this letter, which I thought was a wild thing to have at the top of a Wikipedia article about a niche abstract math thing - here's a translation:

Witches' Kitchen 1971 Riemann-Rochian Theorem: the latest craze*: the diagram

So I Recently Stumbled On The Wikipedia Article For The Grothendieck-Riemann-Roch Theorem, Which Is An

is commutatif**! To give this statement about f: X->Y some approximative meaning, I had to abuse the listeners' patience for nearly two hours. In black and white (in Springer's Lecture Notes) it seems like it will take up to about 400, 500 pages. A gripping example of how our thirst for knowledge and discovery indulges itself more and more in a(n il?)logical delirium far removed from life, while life itself is going to hell in thousandfold ways - and is threatened with absolute annihilation. High time to change our course! (6.12.1971) Alexander Grothendiek

* "der letzte Schrei" is a reasonably common German idiom meaning "the latest craze", but here it could alternatively be translated non-idiomatically as something like "the last cry". I think its more fun to imagine he means the idiom. ** I'm assuming this is a weird old-timey spelling probably taken from french but googling it I can find no examples of anybody using this spelling in German besides this letter

Note that this is 20 years before all of this happens:

So I Recently Stumbled On The Wikipedia Article For The Grothendieck-Riemann-Roch Theorem, Which Is An

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4 months ago

blood is not kosher

assuming vampires breathe, and are therefore alive, what do they do


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4 months ago

Tentative Timeline for the Jeeves Stories

Note: This is almost impossible to get exactly accurate and should be viewed as hypothetical. Wodehouse himself seemed to pay little attention to chronology and consistency of cultural references, so the best I can do is guess. The novels in particular are difficult to arrange, since they are supposed to take place in such a short time period, yet seem to require more time if they are to occur as described.

According to this hypothetical timeline, Bertie Wooster was born around 1901. If so, he would have been seventeen when World War I ended and so could not have participated. If we suppose Jeeves to be ten to twenty years older, he would have been born around 1881-1891, making him between twenty-three and thirty-three when WWI began and ensuring that he would definitely have “dabbled in it to a certain extent,” as he tells Lord Rowcester in Ring for Jeeves.

“Jeeves Takes Charge” – Summer 1925 (Bertie is twenty-four, and the narration is taking place six years in the future, presumably 1931.)

“Extricating Young Gussie” – September 1925 (This story isn’t usually included in the series, but its events are referred to in later stories and so it’s clearly part of the timeline.)

“The Artistic Career of Corky”- Autumn 1925-sometime in 1926 (Necessarily takes place over a long period of time, possibly the entire New York trip.)

“Jeeves and the Hard-boiled Egg” – Autumn 1925 (A few months into the NY stay.)

“Jeeves and the Chump Cyril” – 1925 or 1926

 “Jeeves and the Unbidden Guest” – Autumn 1926 (Set during Coolidge’s presidency (1923-1929), about a year into the stay in NY, “about the time of the year when New York is at its best.”)

“The Aunt and the Sluggard” – Spring 1927

“Jeeves in the Springtime” – April/May 1927

“Scoring off Jeeves” – Summer 1927

“Sir Roderick Comes to Lunch” – Summer 1927

“Aunt Agatha Takes the Count” – Summer 1927

 “Comrade Bingo” – Late July or early August 1927 (Around the time of the Goodwood Cup.)

“The Great Sermon Handicap” – August 1927

“The Purity of the Turf” – August or September 1927 (Three weeks into the stay at Twing.)

“Bertie Changes His Mind” –

“The Metropolitan Touch” – November-December 1927 (A Friday, December 23 is mentioned, making the only possible years in the right range 1921, 1927, or 1932. In light of information in later stories, 1927 seemed the most plausible option.)

“The Delayed Exit of Claude and Eustace” – Probably early in 1928 (Set during the time of an unspecified Oxford term. Bertie’s age is given as around twenty-five or –six.)

“Bingo and the Little Woman” – Between October 1927 and February 1928 (Invitation received to go shooting in Norfolk indicates that it’s sometime during the hunting season.)

“Without the Option” – March or April 1928 (Boat Race Night is usually the last weekend in March or the first weekend in April.)

 “Clustering Round Young Bingo” – Sometime in 1928

“Jeeves and the Impending Doom” – Spring[?] 1928

“The Inferiority Complex of Old Sippy” – Spring[?] 1928 (Takes place sometime before June 1.)

[“The Rummy Affair of Old Biffy” – The mention of the British Empire Exhibition at Wembley would set it around April-October 1924 or 1925. However, this does not fit the timeline as I’ve guessed at it, because it’s clearly set after Bertie’s brief engagement to Honoria Glossop. Adjusting the timeline to fit around this date would cause other problems, so I’ll call this an anomaly.]

“Fixing It for Freddie” – Summer[?] 1928

 “Jeeves and the Yule-tide Spirit” – December 1928

“Jeeves and the Song of Songs” – Sometime in 1929

“Episode of the Dog McIntosh” – Spring[?] 1929

“The Spot of Art” – Summer[?] 1929

“Jeeves and the Kid Clementina” – Summer[?] 1929

“The Love that Purifies” – August 1929

“Jeeves and the Old School Chum” – Autumn 1929

“Indian Summer of an Uncle” – Sometime in 1929

“The Ordeal of Young Tuppy” – November 1929

“Jeeves Makes an Omelette” – Winter 1929 or 1930

Thank You, Jeeves – July 1930

Right Ho, Jeeves – July 29-31, 1931 (Cannot take place the same year as Thank You, Jeeves, because TYJ begins around July 15 after a three-month trip to America, while RHJ opens around July 25 after a trip to Cannes that started at the beginning of June.)

The Code of the Woosters – Autumn 1931

“Jeeves and the Greasy Bird” – December 1931 (It’s said to be more than a year after Sir Roderick’s engagement in Thank You, Jeeves, and Bertie’s awareness of the Junior Ganymede Club suggests that it’s after The Code of the Woosters.)

The Mating Season – April 1932 (The events of Right Ho, Jeeves occurred the previous summer, while the mention of Boat Race Night and Bertie’s cousin Thomas returning to school—presumably for the summer term—suggest an early April date.)

Joy in the Morning – Summer 1932

Jeeves and the Feudal Spirit – July 1932 (Aunt Dahlia is said to have been running Milady’s Boudoir, first mentioned in “Clustering Round Young Bingo,” for three years.)

How Right You Are, Jeeves – Summer 1933 (Jeeves goes on holiday, not the same one mentioned in Jeeves and the Feudal Spirit. Bertie’s moustache from the previous book is mentioned as having occurred a year ago. Aunt Dahlia is said to have run her journal for four years. The one thing I can’t account for is the claim that the events of Right Ho, Jeeves occurred the previous summer, so for purposes of expediency I will consider it an error.)

Stiff Upper Lip, Jeeves – Fall[?] 1933

Jeeves and the Tie That Binds – Fall[?] 1933 (Tuppy and Angela have been engaged for two years.)

Aunts Aren’t Gentlemen – Spring or summer 1934

Ring for Jeeves – June, sometime between 1946-1953 (Set explicitly post-World War II, with an emphasis on societal changes in the UK. Television is mentioned.)


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4 months ago

@paradife-loft​ recently posted something jokingly commenting about how the fact that Hobbits call the Baranduin the “Brandywine” implies that the words for “brandy” and “wine” in Westron are in fact, “brandy” and “wine.”

I used to wonder about that myself and a while ago I looked it up. The truth is, maybe unfortunately, something different, but really interesting and it involves not one but two layers of puns:

 Brandywine is actually a very loose translation of the pun. The Hobbits first named the river Branda-nîn, which means border water, because it is, in fact, a border marker, and it sounds like the Sindarin name, Baranduin. But then later they started calling it the Bralda-hîn, which means “heady ale.”

So from there we have Tolkien “translate” it to Brandywine, to preserve the pun being based on a very Hobbit-like alcoholic drink and the sound similarity to the Baranduin, even if it did miss one of the linguistic layers.

But here’s the best part - the Hobbits named the river the Bralda-hîn because it was the color of ale. And the original Sindarin name, Baranduin? It means golden-brown river. So basically the Hobbits took a Sindarin name whose meaning they probably didn’t know, gave it a similar sounding name in Westron, and then made a pun off that Westron to give the river’s name a meaning similar to its original Sindarin one in the first place.


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4 months ago
Favorite Book Round Up

Favorite book round up


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middlering - 下一站:中環。 Next station: Central.
下一站:中環。 Next station: Central.

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