The usual setup of a habit is

just like how infinitesimals are useful because they’re indiscernible from 0, but have the advantage of being able to be divided by.

Take an interval. Cut it into H pieces, where H is hyperfinite. This serves as the index set of a stochastic process, among many other uses. Imagine that for each of the H steps, you flip a coin to get -1 or +1. Then move an infinitesimal distance left or right based on the sign. This is Brownian motion. Each infinitesimal piece of the timeline is profitably thought of as a Planck time.

Blog power laws

August 2016: Jiuzhaigou, Sichuan Province, China[^maybe it should be timespace instead of spacetime, better to put the time first, what if the place identifier no longer exists? Plus timestamps are orderable.]

Why

Instrumental convergence is an issue I think about a lot because it’s so natural. Being rich and powerful almost never works against you.

\(e^x\) was first defined by a formula for continuous compound interest:

Fundamental theorem of arithmetic¹: every whole number can be split into a product of prime numbers in a unique way.

Through a somewhat messed up example:

I spent the last hour looking and failing to find the paper that made this specific claim:

I love the Litany, but think it could benefit from more present tense. A litany is an entreating. That’s why they’re recited over and over. It tells one how to treat something as they are currently experiencing it.

The best feeling in a party is just sinking into a chair and talking about whatever you feel like with another. The best feeling in a party is doing something you’ve never done before and finding you enjoy it, or glorious wipe out like in that motorbike scene in 10 Things I Hate About You. The best feeling in a party is discovering someone strange in the same ways as you and feeling understood and not broken but just different and being ok with that.

they were all my friends and they died.

(some writing without hesitation or editing. possibly with repetition and deviation.)

i went to kauai with my parents last summer. we walked across some trail that left me covered in mud, and near the entrance to the trail we saw a frog lying on its back, feebly twitching. i figured it would die. i left it there.