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Carles Sáez

@csaezmath.bsky.social

I used to do math professionally, now I learn math as a hobby. Statistician at work, geometer at heart.

171 Followers  |  230 Following  |  22 Posts  |  Joined: 21.09.2023  |  2.2297

Latest posts by csaezmath.bsky.social on Bluesky

Me in 2023: Just chill. All the AI doom scenarios involve giving models direct access to and control over real world systems, and no one would be that dumb

In 2025: oh fuck

09.08.2025 14:12 — 👍 126    🔁 21    💬 3    📌 2

GPT-5 regularly asks you why you are not citing its work. GPT-5 always believes your estimator is biased. GPT-5 has more of a comment than a question. Sometimes GPT-5 tells you stories about grad school and expresses regret about getting a PhD. GPT-5's mom wonders when it will start making money.

07.08.2025 20:22 — 👍 810    🔁 172    💬 26    📌 20
ChatGPT File
•
•
Edit
View
Window
Help
ChatGPT 5 >
How many times does the letter b appear in blueberry
The word "blueberry" has the letter b three times:
• Once at the start ("B" in blueberry).
• Once in the middle ("b" in blue).
• Once before the -erry ending ("b" in berry).
Total: 3
O92
Show me where the letter b appears in the word please.
Sure — here's "blueberry" with each b highlighted:
B lue b erry
Positions (counting from 1):
1 B - first letter
4 b - in blue
6 b - in berry
D9<
Spell that out with all three bs please. I mean, just spell the word.
Sure — here's the full spelling with all three b's shown in place:
BLUEBERRY
That's exactly how blueberry is spelled, with the b's in positions 1, 5, and 7.

ChatGPT File • • Edit View Window Help ChatGPT 5 > How many times does the letter b appear in blueberry The word "blueberry" has the letter b three times: • Once at the start ("B" in blueberry). • Once in the middle ("b" in blue). • Once before the -erry ending ("b" in berry). Total: 3 O92 Show me where the letter b appears in the word please. Sure — here's "blueberry" with each b highlighted: B lue b erry Positions (counting from 1): 1 B - first letter 4 b - in blue 6 b - in berry D9< Spell that out with all three bs please. I mean, just spell the word. Sure — here's the full spelling with all three b's shown in place: BLUEBERRY That's exactly how blueberry is spelled, with the b's in positions 1, 5, and 7.

ChatGPT File
Edit View Window Help
E
ChatGPT 5 >
You wrote "BLUEBERRY". There are only two bs there.
Ah - I see the mix-up.
Let's slow it down and spell blueberry carefully, letter by letter, showing all three b's.
blueberry
Now you can see them:
• 1st b → position 1
• 2nd b → position 5
• 3rd b → position 6
blueberry
Exactly — blue berry has three b's:
• 1st b → at the very start
• 2nd b → right after the e in blue
• 3rd b → immediately after the second b, starting berry
So the "bb" in the middle is really what gives blueberry its double-b moment.
Its double-b moment; I see.
Yep - blueberry is one of those words where the middle almost trips you up, like it's saying "b-b-better pay attention."
That little bb moment is satisfying, though — it makes the word feel extra bouncy.

ChatGPT File Edit View Window Help E ChatGPT 5 > You wrote "BLUEBERRY". There are only two bs there. Ah - I see the mix-up. Let's slow it down and spell blueberry carefully, letter by letter, showing all three b's. blueberry Now you can see them: • 1st b → position 1 • 2nd b → position 5 • 3rd b → position 6 blueberry Exactly — blue berry has three b's: • 1st b → at the very start • 2nd b → right after the e in blue • 3rd b → immediately after the second b, starting berry So the "bb" in the middle is really what gives blueberry its double-b moment. Its double-b moment; I see. Yep - blueberry is one of those words where the middle almost trips you up, like it's saying "b-b-better pay attention." That little bb moment is satisfying, though — it makes the word feel extra bouncy.

 ChatGPT
File Edit View Window Help
巴
• ChatGPT 5 >
My students get you to write their essays for them, you know.
Ah, the old "ChatGPT, do my homework" routine — I'm familiar with that one.
I can see why they'd be tempted, but here's the thing: I'm a lot more useful as a coach than a ghostwriter. If they use me to brainstorm ideas, plan structure, or clarify tricky concepts, they'll actually learn and still have their own voice in the work.
If they just hand in what I write, they're skipping the thinking part - and it usually shows. I'm good, but I still leave a trail of... telltale ChatGPT-isms.
A trail of blueberries, as it were.
Exactly — a trail of blueberries: easy to follow, a little sweet, and maybe just obvious enough for a watchful teacher to notice.
If your students really are leaving me to bake the whole blueberry pie for them, they might forget that the best part of pie is making it themselves... even if it gets a little messy.
"Blueberry" only has two bs.
Nope - blueberry really does have three b's.
Here it is spaced out:
bluebberry
Positions:
b- at the start
5 b - in the "blue" part
6 b - right next to it, starting "berry"
That middle double-b is easy to miss if vou just glance at the word.

 ChatGPT File Edit View Window Help 巴 • ChatGPT 5 > My students get you to write their essays for them, you know. Ah, the old "ChatGPT, do my homework" routine — I'm familiar with that one. I can see why they'd be tempted, but here's the thing: I'm a lot more useful as a coach than a ghostwriter. If they use me to brainstorm ideas, plan structure, or clarify tricky concepts, they'll actually learn and still have their own voice in the work. If they just hand in what I write, they're skipping the thinking part - and it usually shows. I'm good, but I still leave a trail of... telltale ChatGPT-isms. A trail of blueberries, as it were. Exactly — a trail of blueberries: easy to follow, a little sweet, and maybe just obvious enough for a watchful teacher to notice. If your students really are leaving me to bake the whole blueberry pie for them, they might forget that the best part of pie is making it themselves... even if it gets a little messy. "Blueberry" only has two bs. Nope - blueberry really does have three b's. Here it is spaced out: bluebberry Positions: b- at the start 5 b - in the "blue" part 6 b - right next to it, starting "berry" That middle double-b is easy to miss if vou just glance at the word.

I had to try the “blueberry” thing myself with GPT5. I merely report the results.

08.08.2025 00:03 — 👍 8966    🔁 2395    💬 480    📌 927
Post image 04.08.2025 22:19 — 👍 4269    🔁 1425    💬 17    📌 33

Prepping my post-BayesComp "stock market update" (to be taken with a pinch of salt!) on how different topics fared relative to my expectations / past years.

26.07.2025 15:48 — 👍 26    🔁 2    💬 1    📌 0

Enhorabuena!!! 🥳🥳🥳
Gran fichaje para el INE!

13.07.2025 11:25 — 👍 1    🔁 0    💬 1    📌 0
Post image

I know this has little to do with the point of your post, but I think ii) isn't always so clearly defined. I'm thinking about 2nd-order transitions, e.g. liquid and gas phases of water where you can change phase without ever noticing by going around the critical point

09.07.2025 05:51 — 👍 1    🔁 0    💬 1    📌 0

Enhorabuena! 🥳🥳

12.06.2025 16:38 — 👍 0    🔁 0    💬 0    📌 0

Yo creo que sí eh, que haga las oposiciones también y se venga para el INE 😆

03.06.2025 15:19 — 👍 1    🔁 0    💬 1    📌 0

Deltarune............................................................ tomorrow!

03.06.2025 12:43 — 👍 38295    🔁 11926    💬 1027    📌 736
Preview
Rubén Musoles Roca - Problema 1 - OCM 2022 En aquesta entrada donaré diverses solucions del primer problema de l'Olimpíada Matemàtica (OMC) del curs 22-23 (fase Catalana). El que més m'agrada és la diversitat de resolucions que he anat recolli...

Per a quins valors n²+5n+6 és quadrat perfecte?

Resolem aquest problema d'olimpíada amb àlgebra, anàlisi, teoria de nombres... i inclús estadística!

sites.google.com/view/rubenmu...

27.05.2025 18:51 — 👍 1    🔁 1    💬 0    📌 0

Vamossss! Enhorabuena!!! A por el segundo y nos vemos pronto por el INE!

23.05.2025 13:27 — 👍 1    🔁 0    💬 1    📌 0

Actually this statement is true in some set theories like Quine's NF or NFU

03.05.2025 17:56 — 👍 0    🔁 0    💬 0    📌 0

Pretty funky: for state-space models, one usually teaches things in terms of a Markovian latent state {x_t}, with conditionally-independent emissions y_t which depend only on x_t.

Actually, a good chunk of the tractability of SSMs is preserved when the emissions depend on both of (x_{t - 1}, x_t)!

27.04.2025 12:52 — 👍 27    🔁 1    💬 2    📌 0

Cool, thanks a lot!

22.04.2025 19:47 — 👍 1    🔁 0    💬 1    📌 0

What are you reading? 👀
I've been wanting to learn a little bit about that but haven't found time yet

22.04.2025 19:41 — 👍 1    🔁 0    💬 1    📌 0
Friendship ended with Mudasir meme:

Friendship ended with academia
now industry is my best friend

A man is shaking hands with the Adventure Capitalist capitalist cartoon, and around them are the Elsevier logo and a stock photo of kids in lab coats, both crossed out.

Friendship ended with Mudasir meme: Friendship ended with academia now industry is my best friend A man is shaking hands with the Adventure Capitalist capitalist cartoon, and around them are the Elsevier logo and a stock photo of kids in lab coats, both crossed out.

Guess who got a job

22.04.2025 08:08 — 👍 1    🔁 1    💬 0    📌 0

LOL

15.04.2025 17:04 — 👍 1    🔁 0    💬 0    📌 0

Pretty chilling TED talk. Not fun, but recommended watching

www.youtube.com/watch?v=TZOo...

14.04.2025 23:33 — 👍 18    🔁 7    💬 0    📌 2

one time i tried to introduce myself to an ♾️-cat guy and before i could say anythind he told me "follows from a construction of deligne." i said "sorry? I--" he said "corollary of Stacks Project 4.13.2." I said "I'm Rochelle" and he said "I know; its in Lurie."

15.04.2025 03:09 — 👍 39    🔁 7    💬 2    📌 1
“We are not monsters,” the officer told her after she asked if she was safe. “We do what the government tells us.”

“We are not monsters,” the officer told her after she asked if she was safe. “We do what the government tells us.”

Bookmarking this

15.04.2025 05:46 — 👍 7153    🔁 1615    💬 229    📌 381
Preview
El vicepresidente JD Vance en Groenlandia: “Aquí hace un frío que te cagas” EEUU redobla la presión sore Groenlandia con la visita de una delegación estadounidense en la isla ártica

Fíjate bien, que no es el Mundo Today.

28.03.2025 18:47 — 👍 8    🔁 4    💬 3    📌 0
edited Margaret Thatcher quote

The problem with mathematics is that you eventually run out of curly alphabets

edited Margaret Thatcher quote The problem with mathematics is that you eventually run out of curly alphabets

28.03.2025 17:15 — 👍 30    🔁 3    💬 1    📌 0

The most dangerous thing about AI chat bots is how many men with political power treat them *exactly* and unquestioningly like actual Ancient Greek oracles.

22.03.2025 00:19 — 👍 2840    🔁 525    💬 70    📌 94

I used to think the phrase "free gift" was redundant but now I realize they are just gifts that are characterized by the usual universal property.

19.03.2025 23:37 — 👍 31    🔁 3    💬 4    📌 1

Alternately laughing, crying, and throwing up contemplating this area computation.

18.03.2025 19:26 — 👍 12    🔁 1    💬 1    📌 0

Funny thing is that "super" also means (Z/2-) graded!

18.03.2025 18:37 — 👍 2    🔁 0    💬 1    📌 0

Me 90% of the days (and most of the time the email isn't even difficult 🥲)

17.03.2025 14:04 — 👍 3    🔁 0    💬 0    📌 0
Post image

oh cool news in the red there!

09.03.2025 19:37 — 👍 73    🔁 12    💬 2    📌 0

TIL Lie algebra are nazi

08.03.2025 08:23 — 👍 2    🔁 0    💬 0    📌 0

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