The previous post used the phrase “local data” something like thirty times. The phrase did most of the heavy lifting in the argument: local data does not determine global structure, the more holes the underlying object has the more slack between local and global, and so on. I want to start this post by interrogating … Read more
This blog has been operating under the subtitle “Three Implies Chaos” since 2012. Long-time readers know the phrase pulls multiple duty: Li and Yorke’s period-three theorem from chaotic dynamics, Arrow’s theorem on preference aggregation, the Gibbard-Satterthwaite theorem on strategic manipulation, and the McKelvey-Schofield chaos theorem on multidimensional voting. Each of these results says, in its … Read more
Five posts since the last Dispatch, organized as two arcs: Monday through Wednesday tracked the news in real time, Thursday and Friday returned to the methodological pieces those posts depended on. The tightest moment came Wednesday — the Iran prediction the April 17 post staked landed around 5pm, and the Virginia rule the Wednesday post … Read more
A large strand of social network analysis treats triangles as special. Three people all connected to each other — a closed triad, a triangle in the graph-theoretic sense — show up in the literature as the minimum unit at which social structure is supposed to begin crystallizing. Triangles carry transitivity. They support trust. They coordinate … Read more
Roosevelt Elementary started Year 1 of Elevate with 100 students. It ended the year with 400. The other two schools held roughly steady. The district grew from 600 students to 900, and the composition of that denominator shifted decisively toward the lowest-scoring school. That one fact explains the entire dashboard. Elevate worked. Every school’s average … Read more
Yesterday Virginia voters ratified a constitutional amendment giving the General Assembly temporary authority to redraw the state’s congressional districts before 2031. Most of what you will read about the result over the next few days will concern seats — specifically, whether Virginia Democrats will in fact net four additional House seats in November under the … Read more
Here is what today looks like. The ceasefire, which was originally set to expire Tuesday evening Eastern time, will now expire Wednesday evening Eastern time — the deadline has slipped by roughly twenty-four hours, which is about the time it takes to fly from Washington to Islamabad. Vice President Vance is reportedly departing today for … Read more
A dispatch from the road, later than usual. The week covered the launch of the junk drawer series, a USPS post whose central mechanism acquired a fuel surcharge while the post was still fresh, a Supreme Court case in which the drawer breaks, and a Friday post on Iran that staked a prediction now counting … Read more
Here are two statements about the same agreement, issued within twenty-four hours of each other, by officials who were present at its creation. Donald Trump, April 8, 2026: “There will be no enrichment of Uranium, and the United States will, working with Iran, dig up and remove all of the deeply buried Nuclear ‘Dust.’” Iran’s … Read more
For more than a century, the constitutional status of religious exemptions from childhood vaccine mandates sat quietly unresolved. States offered exemptions — or didn’t — as a matter of legislative discretion. No court had to rule on whether parental religious objection was a constitutional right or merely a policy option that legislators could extend or … Read more