I saw a guy studying math in Starbucks today.
Table: one book.
Tools: a pen and a stack of paper.
He wrote down a problem.
Then just… stared at it.
Five minutes.
Ten minutes.
Twenty minutes.
Like a psychopath.
No laptop.
No ChatGPT.
No YouTube “calculus in 10 minutes.”
Just a page full of symbols and a guy thinking.
Then he crossed everything out.
Started again.
More symbols.
More scratching on paper.
More staring into space like he was trying to summon Euler.
An hour later he had solved one problem.
One.
Meanwhile the guy next to him refreshed his email 27 times and watched two productivity videos.
Funny thing about math.
The people who look the least busy
are usually the ones actually doing the hardest work.
We rave about giants like Newton, Einstein, Bohr, Tesla, and Edison. But in terms of direct impact on our lives in the information age, nobody comes close to Claude Shannon.
In 1948, he dropped a straight 10/10 paper:
A Mathematical Theory of Communication.
His work has imbued us with the ability to send whispers across continents.
The paper doesn’t just suggest techniques, it draws the boundaries of reality for information... how far compression can go (entropy), the maximum rate a noisy channel can carry reliably (capacity), and why error correction isn’t optional if you want those whispers to arrive intact.
[Download 698-page PDF eBook]
Everything You Always Wanted To Know About #Mathematics* (*But didn’t even know to ask)
A Guided Journey Into the World of Abstract Mathematics, Theorems, and the Writing of Proofs: https://t.co/JLsDOmpP1q
🚨 BREAKING: Someone just made 70B parameter models run on a single 4GB GPU.
It's called AirLLM. No quantization. No distillation. No pruning. Just raw 70B inference on hardware that costs less than a dinner.
You can even run Llama 3.1 405B on 8GB VRAM.
Here's how it works:
→ Decomposes the model layer-by-layer
→ Loads only one layer into GPU memory at a time
→ Runs inference, moves to the next layer
→ Prefetches the next layer while computing the current one
→ Supports 4-bit and 8-bit compression for 3x speed boost
No cloud API. No $10K GPU. Just pip install airllm and go.
Here's the wildest part:
It supports almost every major model — Llama, Qwen, Mistral, ChatGLM, Baichuan, InternLM — and it auto-detects the model type. One line of code to load. One line to generate.
Works on Linux, macOS (Apple Silicon), and even Google Colab free tier.
Your old gaming laptop can now run the same models that needed an A100.
100% Open Source. Apache 2.0 License.
My favorite books to self study pure math!!
When I was in undergrad, I spent a lot of time self-studying pure math. But I wasted a lot of time because I didn't have a roadmap.
So here's a list of my favorite books, videos, and problem sets that you can use to self-study many of the key topics in undergrad-level math: a 🧵 1/n
“Read 500 pages every day. That’s how knowledge works. It builds up, like compound interest. All of you can do it, but I guarantee not many of you will do it.” - Warren Buffett
Mathematics and Logic Symbols ✍️
Quantifiers and Sets:
∀ - For all (universal quantifier)
∃ - There exists (existential quantifier)
∈ - Element of
∉ - Not element of
⊂ - Subset of
⊆ - Subset or equal
⊇ - Superset or equal
⊄ - Not a subset of
∪ - Union
∩ - Intersection
∪̸ - Not a subset
∅ - Empty set
∖ - Set difference
Logical Operators:
⇒ - Implies
⇔ - If and only if (equivalence)
∧ - Logical AND
∨ - Logical OR
¬ - Negation
⊤ - True
⊥ - False
⊕ - Exclusive OR (XOR)
→ - Conditional implication
≡ - Equivalent
Numbers and Constants:
ℕ - Set of natural numbers
ℤ - Set of integers
ℚ - Set of rational numbers
ℝ - Set of real numbers
ℂ - Set of complex numbers
∞ - Infinity
π - Pi
e - Euler’s number
Operations and Relations:
∑ - Summation
∏ - Product
√ - Square root
|x| - Absolute value of x
Δ - Change/difference
∇ - Gradient
⊗ - Tensor product
≤ - Less than or equal to
≥ - Greater than or equal to
≠ - Not equal to
≈ - Approximately equal
∝ - Proportional to
Geometric Symbols:
∡ - Angle
⊥ - Perpendicular
∥ - Parallel
Reasoning and Statements:
∴ - Therefore
∵ - Because
Join Dr Safaruk Chowdhury and myself in person at @CMC_Cambridge on Saturday 15th November (3-5pm) as we launch our edited volume Analytic Islamic Epistemology: Critical Debates and explore it’s significance for Islamic thought today. Limited tickets!
https://t.co/C7xZcRt2CA
The story of modern techno-capitalism seems to me to be the story of converting luxuries into necessities by building systems and infrastructure around them