not sure how effective that would be, if it was his only source of learning.
The SOTA is to use a discriminator (often another LLM or ML algo) to select the best output before feeding it into the training data. That’s what OpenAI, Anthropic, et al have been doing. One of them just published a paper about it a few weeks ago.
You could describe a textbook as a synthesis, sure, in a sense which absolutely does not track with the 'synthetic' in 'synthetic data'.
Unless the textbook is AI-generated, and I expect that in 2024, the number of AI-generated textbooks is not zero.
But before humans can understand enough language to ingest that synthetic data, they do a lot of their own discovery based training where they learn about the world physically and absorb the language people around them use, kind of like throwing random internet data at an LLM.
You don't even need to go that far. How do most children learn? By reading textbooks and listening to lesson plans assembled by their teachers from all the relevant content the teachers have experienced.
Our education systems are built on synthetic data that is created for optimized learning, so that every child doesn't have to prove the universe from scratch to learn some basic maths.