Friendship Is An Exponential Function

July 13, 2026

What allows you to make friends and to keep them? Being a social person helps with making friends, surely. As does putting in the effort to be a good friend. But I'm sure we've all had the experience of wanting to become friends with someone, but yet it never really happens. Maybe there's never the time. Maybe you're too far apart, and I mean that literally.

This is something I've observed over time, as friends move around and as people's lives grow, evolve, and change: the total friendship between two people evolves as a function of distance.

This means that two people, given the inclination to become friends, will see their friendship improve and decay based on their physical distance from each other—how far they live from each other. I think this makes intuitive sense. Two people who live together obviously see each other more than two people who live a continent apart. Yet what is surprising is that this function is not linear.

Because It Speaks In Words

June 29, 2026

There is a difference between knowing something, and truly understanding it. I think we've all had those moments, the ones where a truth you learned a long time ago really sits with you for the first time. It rests in your mind and stretches out, finally showing off the great expanse of nuance hidden deep within.

Most nights when you happen to spy the Moon, Jupiter, and Venus sitting in a line in the sky, you see them as the dots beside a crescent that they are. Yet sometimes, when framed amid the sunset sky above the wisps of silver cloud, you see them differently. You realize in that moment that you, your great-grandparents, Julius Caesar, and Aristotle all saw this same sky. It has always been for us. We know so much about Jupiter and Venus today, yet no human eye has ever seen more than you're seeing now.

I think we are all, in this time, realizing the true power of words and what they mean, not to those who speak, but to those who listen.

Would You Believe That This Is It?

June 15, 2026

Last year I heard this song from a band called Loser Demon. The song is called Holding Ground and here's the chorus that has been stuck in my soul ever since (added words, mine):

would you believe that this is it and it is good?
doesn't surprise me and i hope that it never would
(I'm) holding ground

I heard that phrase and was immediately repulsed the first time, yet something about it lingered in my heart. I think that reaction is likely the same for lots of people these days. I mean, look at the world? Look at the strife and the trouble and the heartache? How can this be good?

The True Expense Of Nature

June 1, 2026

It's Saturday morning, and you have no plans. Perhaps your schedule happened to line up that way, perhaps the kids are gone, or maybe it's just luck. Regardless, it's glorious. You bask in the glow of a lazy morning while you decide just how you're going to spend today. In your mind you go over different ideas, considering each and its consequences.

You could go to the beach! No, too much effort. You could stay in and read a book, but it's a nice day. You could read outside. Perhaps though it's better to go for a long walk first, grab a coffee maybe? You need to grab some things at the store, and that's on the way. Eventually you arrive at a plan: walk to get coffee, read for a while at the café, then stop by the store on the way home! An excellent plan—efficient and relaxing!

What have you just done? How did you arrive at this decision? There were so many variables, a nearly infinite possibility space, yet you managed to make do. Perhaps Nature itself is not so dissimilar.

A Field Guide To Learning

May 11, 2026

Let's say you're someone who wants to learn about an academic discipline. Perhaps advanced Physics, Sociology, Early-Modern History, or Cognition Science. Of course, there's YouTube pop-sci videos (which I love) and no shortage of products and services that purport to teach you the basics. But what do you do when you want to go beyond those basics?

I'm not an expert, but I have been on a few of these journeys myself and so I want to lay out the paths I've taken and offer some advice to those who, like me starting out, had a very hazy view of the terrain and no idea who to trust with your education.

For anything vaguely academic in nature, I highly recommend trying out one of the books in the Very Short Introduction series.

Why You Can't Write That Book

April 27, 2026

I could do that, I just need more time.

In life we are constantly wishing we had more of something: time, money, friends, energy, etc., and we develop plans to try and meet these goals. We alter our diets, our schedules, we start exercising or reading more. Often times these changes result in significant improvements to our lives. Yet, we never have the energy, the time, or the money that we want. Even when we do succeed in making changes, something else comes up and blocks further progress.

Let's say you want to write a book. You change your schedule to allow for dedicated writing time. However during that time, you're unmotivated. You diet and exercise and read interesting books, trying to kindle the enthusiasm you know you have, but now you have no energy left to write. You have the time, but only to spend staring at a blank page.

Mailing Things Is Fun

April 13, 2026

Sometimes I can't tell if I'm discovering a cool new hobby, or just getting old. Regardless, today I come to you with a tale of a little endeavor of mine.

In early 2020, a family member took a job far from home and, because of the nature of the work, would therefore be out of cell service for large swaths of time. As a gag, we decided to communicate via long-form letters over email as well as the occasional postcard. Later that year, in the grips of a pandemic, my D&D group went virtual, but that came with several drawbacks—including the sudden lack of the ability to pawn chewing gum off of me during games.¹ So, before our first virtual game, I mailed every one a pack of gum, to be opened on the call.

It was fun, a cheap little laugh. However in the time since, my occasional appreciation for the mail has become nothing short of a deep and profound predilection.

Take Better Notes, By Hand

March 30, 2026

Researching a topic is hard, because not only are you trying to puzzle together the causes and effects of a given problem or historical series of events, you're also looking out carefully for leads and new threads to pull. Falling down rabbit holes is common—and encouraged—but eventually you need to pull yourself back out and collect your thoughts. What's more, if you're reading books you don't own, you'll need some way to record the interesting bits to recall later.

Of course, there are a lot of different ways to take notes and organize your thoughts. I've settled on this four-part system, here organized from least important to most important:

Pinboard: for links to PDFs & webpages + full-text search.
Books.app: the iOS/macOS app for importing PDFs & organizing them into Collections.
Book Tracker: an app that's great for saving long quotes via OCR.
Good, old-fashioned paper notebooks.

You Have Access To Almost Any Book

March 20, 2026

I read a fair bit of non-fiction that spans a number of different genres. But the trouble with non-fiction is that it never answers a question without raising further questions. Non-fiction comes replete with footnotes: a ponzi-scheme for the curious mind.

Of course, this leads very quickly to a fundamental problem. The deeper down the rabbit hole you go, the more likely you are to find that the cited works are academic, rather than consumer texts. Reading non-fiction, especially when it comes to history or science, you very quickly leave the realm of what you can easily find on a bookstore shelf. Sometimes you get lucky. Sometimes these academic books are relatively cheap, other times it's stamped with a textbook-level price tag or the book is simply out of print.

The Internet Archive exists of course, and if the book is really old then that's a good place to start. However, it will never be the full solution.

Load-Bearing Walls

March 10, 2026

We like to believe that we can predict the future. We believe it because it's true, at least in part. Physical systems obey known physical laws and so even fairly complex systems can be understood and predicted with stunning accuracy. Every branch of science makes predictions. Planes fly, servers compute, and dams generate power all through the strength we have to predict the future, if only in the short term. In our human world, we see pollsters predict elections with better-than-random odds, doctors performing research and intervention at global scales, and even disease propagating at predictable rates.

It's stunning just how good we are at this in the modern world. We're so good at predicting the future that much of the financial world relies on it as a hedge against the unforeseen. Short term catastrophe is easier to bear when you can predict that good times can and will return.

Yet there is, of course, much we cannot predict and two main reasons why.