It's language and speech patterns that seem designed to trick readers into believing that claims are correct, even when the claims aren't based on anything and are possibly wrong.
It was rewarded for this during training for some reason.
Alternative theory:
The LLMs only way to "think" about abstract concepts is through language, and this leaks into into conversation it has with humans.
But humans generally prefer to communicate on low levels of abstraction, through a back and forth, until the hard-to-express higher abstraction exists in the head of everyone involved - without ever being directly communicated. This is because we don't think using language. Language is merely a lossy translation of our thought into something expressible, happening after the fact or alongside it.
So when the LLM starts speaking to us using patterns and terms it created for itself during training to encode abstract thought in language, communicating with it becomes painful.
The term 'language model' throws some people off thinking you can only put english or french, or both into a model. Technically an LLM can learn about anything that can be digitized. If you wanted to spend a billion dollars training one on wireless signals it wouldn't be impossible for it to connect to your router with the right antenna attached. So only limiting it to the idea of language leaves off a lot of other types of abstractions and concepts they encode.
"There is a depth of thought untouched by words, and deeper still a depth of formless feeling untouched by thought." - Rilke
Your assertion that we don't think in language is questionable. It runs counter to the lived experience of developing thoughts through writing ("writing isn't capturing thinking -- it is thinking"). I believe there is more to thought than language alone, but I also feel quite sure that language forms an essential part of thinking beyond a base layer of instinctive animalistic associations. Sophisticated thoughts are impossible to construct or maintain in the absence of language to represent concepts.
Edt to add: I cited Rilke because I find the notion [some deep thoughts are beyond language] interesting. But I disagree with the idea that language is only ever epiphenomenal (co-occurring with thought), or akin to a hard-of-hearing scribe attempting to convey thoughts which always have independent existence.