## 3.6 Weighted Sum of Pages

This is probably the second best graph. Even the graph with 90 dots on it shows some trends.

Interestingly, the growing length of articles takes away the bump that is visible in figure 3.1; now it seems like all topics get 10-15 weighted pages (at least) every year. The increase length is itself quite remarkable. Here’s the average article length over years.

And that same effect means that some of the big 21st century topics are now outpacing Ordinary Language philosophy. I’ll come back to this article length increase in a bit, but first let’s see what this graph looks like with every topic having its own facet.

The acceleration in thelast fifteen topics is much more pronounced. And Ordinary Language doesn’t look like it has a rise and fall any more - it has a rise that it holds on to. Norms looks like it is about to eat everything, and maybe it is. This is even more vivid in the animated version of the graph.

It’s worth pausing for a minute about what’s driving this. As I showed above, page lengths increased substantially over the last few decades of the data set. That graph is fairly noisy at first, then a sharp dip takes us to a minimum in the early 1960s, and from then it is a steep rise. (One that is not, in my experience, abating any time soon.) But an average covers up a lot of things. For instance, *Noûs* used to publish absracts of APA presentations as research papers. These were often one page, and could really pull down averages. Here is a slightly more instructive way of looking at the data. The following graph shows various deciles of lengths over time. So the bottom line is the length such that 10% of articles are shorter than (or equal to) its length, the top line is the length such that 90% of articles are short than (or equal to) its lengths, and so on for the in between lines.

Some of this could be explained by having a bunch of one page notes, but not all of it. For much of the 1950s and 1960s, fewer than 10% of papers were over 20 pages. Now 20 pages is the median article length, in a universe of journals that includes *Analysis*. For that to be explained by having a bunch of very short articles, the olive line (at 30%) would have to be hugging the bottom of the graph, and clearly it isn’t.

Articles are getting much much longer.