[fc417fc802]

I think it was clear from context that "under the hood" wasn't referring to the math but rather to the contents of the trace. What's written (often?) isn't what's actually being "thought" about. The trace is a trained output similar to the final output, which is to say that it's fake. There are research papers on the topic, particularly that models can be trained to print other arbitrary stuff during the "thinking" phase instead.

You can easily see this for yourself by carefully walking through a given trace with a critical eye. Here's an example from myself a few days ago. https://news.ycombinator.com/item?id=47623324

[seanhunter]

Yeah now I get what you're saying. Yes the trace isn't what's actually happening. What's actually happening is just the attention mechanism etc. The model doesn't "think" in human language, it thinks in linear algebra. The thing is that before chain of thought it used to be necessary to get the model to output some language because that's the only thing it had to attach processing to (so if you wanted more processing you needed to get it to generate more text). Whereas now we get the model to generate some text that is a simulcrum on the thought that it might hypothetically be doing but in actual practise chain of thought is just something they get the model to do by training it in a certain way.