Earlier quoted context omitted.
How are LLMs bad at induction? I thought they were great at induction. This paper doesn’t go into measurements of it, but helps lay out the nature of reasoning well. https://aclanthology.org/2023.findings-acl.67.pdf#page15
They are great at saying things that sounds like the next line of the conversation. That's a certain kind of induction for sure, but probably not the kind you're after.
Simple example: sample it a bunch of times. If it's different each time, it likely made it up.