[ummonk]

I'm more saying that points 1 and 2 get subsumed under point 5 - to the extent that existing algorithms / logical systems for solving such problems are written by humans, an AGI wouldn't need to match the performance of those algorithms / logical systems - it would merely need to be able to create / use such algorithms and systems itself.

You make a good point though that the question of whether LLMs reason or not should not be conflated with the question of whether they're on the pathway to AGI or not.

[FINDarkside]

Right, I agree there. Also that's something LLMs can already do. If you give the problem to ChatGPT o3 model, it will actually write python code, run it and give you the solution. But I think points 1 and 2 are still very valid things to talk about, because while Tower of Hanoi can be solved by writing code that doesn't apply to every problem that would require extensive reasoning.