The beauty of mathematics Updated 2025-07-16
Ciro Santilli intends to move his beauty list here little by little: github.com/cirosantilli/mathematics/blob/master/beauty.md
The most beautiful things in mathematics are results that are:
Good lists of such problems Lists of mathematical problems.
Whenever Ciro Santilli learns a bit of mathematics, he always wonders to himself:
Am I achieving insight, or am I just memorizing definitions?
Unfortunately, due to how man books are written, it is not really possible to reach insight without first doing a bit of memorization. The better the book, the more insight is spread out, and less you have to learn before reaching each insight.
Waring-Goldbach problem Updated 2025-07-16
It is exactly what you'd expect from the name, Waring was watching Netflix with Goldbach, when they suddenly came up with this.
Christianism Updated 2025-07-16
Power engineering Updated 2025-07-16
Applications of power, we have to remember it is there to notice how awesome it is!
Probability Updated 2025-07-16
Subquotient Updated 2025-07-16
That normal subgroup does not have have to be a normal subgroup of G.
As an overkill example, the happy family are subquotients of the monster group, but the monster group is simple.
Suikoden Updated 2025-07-16
This game (1 or 2, can't remember) made an impression on Ciro Santilli for some reason.
Only many many years after playing it, after Ciro started getting more interested, did he learn that it was actually an adaptation of the Chinese mega-classic Water Margin.
"Suikoden" is the actual Japenese transliteration for the Chinese name of the original Water Margin novel.
The game puts great emphasis on the concept of the 108 Stars of Destiny, which never left Ciro's mind: making 108 allies, the main collectible of the game, allows you to make a more powerful alliance, and unlock better endings.
The old man lost his horse Updated 2025-07-16
Another notable reference is in Lost Horse LLC, MacKenzie Bezos's charity instrument.
Breakdown:
  • 塞翁 sai4 weng1: TODO his name?
  • 失马 shi1 ma3: lost horse
  • 焉知 yan1 zhi1: who knows, literary
  • 非福 fei1 fu2: bad (or) good
Video 1.
Zen master and the little boy scene from Charlie Wilson's War
. Source. This is how Ciro Santilli first heard the old man lost his horse! The scene happens after the Americans seem to have had sucess in arming the Taliban in the 1980s to fight the Soviets, and then they decide to stop all monetary help to rebuild the country, which then leads to a terrorism threat many years later.
Video 2.
The Blessing of Bad Luck by Pursuit of Wonder (2022)
Source. A bit too long. But worth it.
Instagram Updated 2025-07-16
Ciro Santilli is just too old to understand what the point of that website is compared to Twitter. There must be one, right?
Also, it is impossible to use it on the browser without a cell phone, similar critique as Section "Messaging software that force you to have a mobile phone" but a bit more aggravating, because, well, you would expect creators want people to see their stuff on a browser unlike private messages?
These are two conflicting constraints:
Referendum Updated 2025-07-16

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