Welcome to The Categorical Imperative

So you wandered into the shrine of formal thought because you like tidy arguments, or a meme made you curious, or someone told you ‘logic’ is where the answers live.Read MoreWelcome to Logic – Not That Thing Your High-School Debate Team Called ‘Thinking’

# From TI-84 Graveyards to Conjectures That Just Won’t Die: A Guide for the Curious (and Slightly Nostalgic) Remember the existential weight of a TI‑84? It cost as much asRead MoreFrom TI-84 Graveyards to Conjectures That Just Won’t Die: A Guide for the Curious (and Slightly Nostalgic)

# When Math Memes Go Rogue: Art Contests, Repostmills, and the Occasional Bogus Proof You thought the post‑grad life meant fewer late‑night fora and fewer arguments about infinities? Think again.Read MoreWhen Math Memes Go Rogue: Art Contests, Repostmills, and the Occasional Bogus Proof

If you ever graduated during the mixtape-and-dial-up era, you remember that little, gleeful discovery: a trick you did not know you could do, a tweak that saved you an hour.Read MoreLittle Theorems, Big Feelings: How to Collect, Complain, and Canonicalize Your Way Through Category Theory

# The Categorical Imperative: Quantum Dreams, Funding Realities (A Slightly Snide Roadmap) You want to study theoretical physics, leave your country, snag a fully funded grad program, and spend yourRead MoreThe Categorical Imperative: Quantum Dreams, Funding Realities (A Slightly Snide Roadmap)

# Stickers, Scrapers, and Sinful Diagonals — why you should care (and why you secretly do) You survived qualifying exams, the coffee stomach, and at least one tenure committee thatRead MoreThe Categorical Imperative: Stickers, Scrapers, and Sinful Diagonals

# When Reality Interrupts: Vortices, Wakes, and the Physics of Things Being Ruder Than Your Textbook We like neat answers. A formula that fits on a sticky note, a diagramRead MoreWhen Reality Interrupts: Vortices, Wakes, and the Physics of Things Being Ruder Than Your Textbook

# The Illusion of Control: Building Languages, Memory, and Dreams of Clean Abstractions You know the scene. It is 2 a.m., a podcast about compilers is whispering in the background,Read MoreThe Illusion of Control: Building Languages, Memory, and Dreams of Clean Abstractions

# Hook: be curious, not cruel Raise your hand if you’ve ever hovered over the “post” button and thought, “Do I deserve to be publicly corrected in Helvetica?” If so,Read MoreThe Categorical Imperative: Post, Plot, Repeat — How to Be a Curious Data Nerd Without Being the Worst Person in the Thread

# The Categorical Imperative: Tiny Victories, Ultrafilters, and Why μ Sometimes Just Wants to Be a Projection There are two kinds of math triumphs: the epochal breakthrough that gets youRead MoreThe Categorical Imperative: Tiny Victories, Ultrafilters, and Why μ Sometimes Just Wants to Be a Projection