A line between two ideas is a beginning, not an explanation. It tells us that someone has chosen to place them in relation. It does not yet tell us whether one causes the other, resembles it, contradicts it, or merely happened to be read on the same afternoon.

Companion demonstration draft · part of “The Shape of Possibility.”

Ask what the line means

In The Shape of Possibility, a branching structure organises positions in a counting problem. The diagram tells us how many positions there are at each level. A separate assumption tells us that the marks placed at those positions are independently chosen. Remove that assumption and the original probability calculation no longer follows, even though the branches can look exactly the same.

The example is small, but the reading habit is useful. When looking at a graph, first identify its vocabulary. What is a node? What is an edge? Is the relation directed? Is it an observation, an interpretation, or simply a route through a collection?

Let a map remain a map

On this website, the connected graph offers a navigable map of essays. The relationship is editorial: these pieces have been connected so that one can open a question raised by another. A larger node or a busier cluster should not be mistaken for a measurement of truth.

This limitation is also a freedom. A map does not have to establish a causal theory to help someone find a useful next place. It can reveal that an objection has been overlooked, that two questions share a reference, or that a fragment deserves a fuller treatment.

The next piece, The Use of an Unfinished Note, explores that fragment. It is connected here so that the main essay can discover it at a second degree of separation. A second branch leads to The Names We Give to Attention, where the map’s categories become a question about language.