LLM needs to generate/search in order to compare. Silently answer my question is a lie.

LLM works by generating words out of nothing. If context window is 0 then it can't guide to to something it doesn't have. So it needs something prior in the context window. makes sense, you need something to compare something you can't compare nothing to something. So Our goal is to use LLM to learn. I see and saw people share their prompts: "silently answer my question first then find where I'm wrong. Don't give me the answer/hints unless I tell you to. Only tell me where I'm wrong" The problem