This is not at all obvious to me. Symbolic reasoning feels quite different from picking the next word. Using physical demonstrations (or mental models of physical demonstrations) feels quite different from picking the next word.
Over the years I’ve come to believe that claims that something is “obvious” tell you more about the claimant’s state of mind than about the thing being claimed.
Which is why I'm still bewildered people expect LLMs to solve math and symbolic issues directly, when they're clearly (see e.g. "chain of thought") better treated as "inner voice" and used accordingly.
When I work on problems I don't understand I'll monolog it internally. Now when I'm doing things I understand well I have some kind of internal shortcut language (my own token set I guess), that can sometimes make it difficult to explain to other people.
The cabbage, wolf, goat problem is also an easy example of a problem that doesn't really need words to solve once you’ve conceptualized it. You can solve it by moving physical figures back and forth, either literally on a table or using the visual imagination part of your mind if you have one.
What does this mean?
That thing. I don't do that.
Which I suppose explains a lot of phrases that make little sense if they're only taken symbolically. Or why some people like long scenery descriptions in books - they can literally imagine it. Unfortunately, I'm aphantasic, so I can't.
I can’t think of any off the top of my head.
I also tried to get GPT4 to craft such a problem and it was unable to: https://chat.openai.com/share/c1d5af4b-1d45-41ed-8f5a-746ea0...
https://ekzhu.medium.com/gpt-4s-maze-navigation-a-deep-dive-...
At which point and after how much training a kid becomes able to solve mazes like this? Also, given how one can pull a problem like this - any problem - out of their ass, describe it to GPT-4, and it has a good chance of solving it, that's quite amazing compared to children generally not being capable of this.