I wrote an AI textbook — how long until AI can do it better?

Paper · Source
Knowledge After the Web

Source: Nathan Lambert, Interconnects · 2026-08-12

On the other side of things is non-fiction writing. Filler, copy text was one of the genuinely useful abilities of an LLM (Sam Altman said so much about the early business of GPT-3 on a recent podcast). It has seemed like any flaws here were mostly down to a general lack of intelligence in the models, or some other training issue, and all non-fiction and explanatory text would get obliterated by the rapid pace of progress eventually. Having worked with the models as a writing assistant over the last few years, they’ve gotten a bit better, but it’s worth reflecting on what’s holding them back.

Models being stagnant in long-form, non-fiction writing should be alarming to those reliant on models autonomously solving grand, open science problems in the near future. The models today struggle to organize and compellingly present some of the most established science in their area. This seems like a natural prerequisite that we should expect the models to master before they can solve broad, open-ended problems on their own. Until this is solved, the progress of LLMs for science will look closer to solving low-hanging fruit and merging distant connections across fields, rather than any sort of revolutionary insight.

Organizing knowledge is a compression. This compression is needed to make insight. Today’s LLMs increase entropy in long-form non-fiction writing, and I don’t see how that can be stacked on top of itself endlessly. They’ll be reliant on humans acting as sort of guides.

I am still very optimistic about translation from these narrow forms of science, like the extreme advancements we’ve seen in math, into consistent, broader progress — LLMs are the most powerful assistants scientists have ever used. I first need to explain how observing the models work on such grounded, low-level knowledge problems in writing makes me see a surprising lack of generalization.

For more context, I just finished writing a post-training textbook, Reinforcement Learning from Human Feedback (buy on Manning or Amazon). I used LLMs in many ways to support this, from helping wrangle LaTeX formatting for equations, doing extensive copyediting, and creating diagrams for programming languages like TikZ (in LaTeX) or Python.

I would’ve expected way more progress on non-fiction writing from the models. I almost thought I would look dumb publishing a non-fiction book in 2026, given how things looked in 2024. Today, some of the most famous models on writing ability are pretty old, examples include OpenAI’s big GPT 4.5 and Moonshot’s Kimi K2. In and around these releases, the models have gone from okay to superhuman at other tasks like coding and mathematics. Maybe a closer, but still imperfect, comparison is how the models went from incapable to decent at search and research tasks. The pace of progress on most other skills is steep, but writing well feels orthogonal to most of them. I do not think writing is just ignored, but rather it’s challenging and lacks good training data to specifically intervene on it.

Today, the models seem genuinely horrible at long-form technical writing. They can get a sentence right, but if you try and get them to write an entire chapter it’ll be a mix of sprinkled with confusing wording, muddled in its organization, and generally a bit off. They try to be too cute where they don’t need to be and in the process make random conceptual errors. The models in the near future will get much better at the small errors, especially as models get bigger — which allows them to hold more world knowledge — but I do not expect their ability to utilize it to transform.

On the other hand, the Claude models have been much more useful as an editor. They have a lot more taste, tend to understand the mental model of the task better, and have more interesting suggestions to unstick the different forms of writer’s block.

The examples I’ve given above all have a sort of consistent theme. The models know how to check every unit of content, in this case usually a sentence or equation or figure, or make one, specific section where you are caught. With these skills, they don’t do a good job revisiting components and stringing them together as they make many additions on top of each other. It feels like a sort of irreducible compounding errors. We used to deal with these errors in math and code, but reflecting on it, RLVR has been a truly magical solution in reducing them.

I’m willing to share that there are a few technical explanation sentences in my book that came from an AI model — well less than 1% — they’re there because I really loved them. I let myself consider including some AI tokens in the book, as it didn’t feel like cheating if I, as a true expert, felt that the sentence was what the reader needed. Especially in the editing process, where I had a very close eye on things and plenty of concern on if my book would ever be done with all the things I have going on, it was an extremely valuable path forward.

I am working through similar balances in my scientific work too. AI models are great for repetitive pieces of the paper, like drafting a related work or background section that you know by heart, but using them for the abstract, introduction, experiments, or conclusion is a shame. Those are where the story and soul of the work is communicated — it’s where you learn what your research is really about.

I am confident I created a lot more net value by being able to have AI models create and check my non-fiction writing work. They make writing equations trivial, can help refactor the repository, port between languages, and many other things. At the beginning, it was very fun, until I was a bit worn down by the length of the publishing process, watching the field move on.

For an example of why AI was crucial in this case, I had to maintain Markdown and LaTeX versions of my book simultaneously in two spots, as readers gave feedback on the web version and my Manning editorial team reviewed a forked copy. Without AI agents, syncing between the two of them would’ve easily taken me five times as long (and this task took tens of hours already).

Something intertwined with this story, which I stumbled upon when thinking about agents, is how your pace of understanding won’t increase by using agents. That understanding, in the form of intuition, taste, instinct, etc. is what will be valuable in the future. Using AI for non-fiction writing takes away from that progression. Doubly, if you weren’t already an expert you won’t be able to catch its flaws.

This turned out to be really wrong? I’m very happy with the result and I’m more confident in its staying power now than when I started in 2024, as the models have so failed to live up to the hype in non-fiction writing.

The models are incredible tools, they let you express knowledge in different forms. They’re wonderful for creating creative filler or background material — e.g. the first draft of slides whose real value is being a talking point for the teacher to lecture over — that let any knowledge be transformed from one medium to another.

There’s some subtle, early phase of writing a non-fiction or reference textbook that feels a bit closer to writing a high-voice blog post like this. When pushing through the early organization and the presentation of the core skeleton new knowledge is created. This is the part that takes insight, and the LLMs are far behind in being able to replace it.

The crux of the above paragraph and preceding section is that I would be happy if more of the world’s experts used AI models to write a tiny bit of their books in order to get more of their knowledge shared with the world. The problem is that you can only use AI models to save 10-20% of the effort today, and I don’t see that percentage becoming the majority anytime soon.

There’s also the social pressure, where people expect LLMs to be the best, personalized educators out there, so they think working on a book or educational content is pointless. I think some of these opinions are aging out, as there’s a massive dearth in the highest quality educational work — and there always has been. AI is great at manipulating said content into the form that suits the student, not creating the content from scratch.

In the meantime I feel that we are stuck in a frustrating local minimum, where AI models are going to on net reduce the average effort spent on non-fiction writing, but they could enable great expression. Fewer people will start and push through.

So, in 2-5 years I still expect the best textbooks to be heavily crafted by the human hand. I’m not sure after then, but that’s longer than many would’ve predicted, given just how much knowledge these models have and their structural propensity to stream it.

Lines of inquiry this paper opens 24

Research framings built by reading the notes related to this paper — the questions it feeds into.

How can persistent memory architectures preserve information across ultra-long contexts? Is embodied interaction necessary for language meaning and agency? How do neural networks learn compositional structure from training? Can readers reliably distinguish AI-written text from human writing? What limits language model accuracy in evaluating ideas? What unique functions do genuine emotions provide beyond simulated responses? What prevents LLMs from applying their reasoning knowledge to improve outputs? Do language models encode knowledge that influences generation, or primarily imitate surface patterns? Can recurrent computation unlock reasoning capabilities that fixed-depth models cannot? Can language models reason beyond surface pattern matching? How do interpretive frames override surface features in text comprehension? How does policy entropy collapse limit scaling of reasoning-focused reinforcement learning? Can LLMs distinguish between linguistic form and semantic meaning? Does augmenting symbolic reasoning improve LLM logical reasoning ability? How should retrieval strategies adapt to multi-step reasoning demands?