No. LLMs can be told that there was an error and produce an alternative answer.
In fact LLMs can be told there was an error when there wasn't one and produce an alternative answer.
https://chatgpt.com/share/6722e41d-6b20-8002-8cbb-3012cd9179...
But a LLM is not "simply" doing anything. It's extremely complex and sophisticated. Once you go from tokens into high-dimensional embeddings... it seems these models (with enough training) figure out how all the concepts go together. I'd suggest reading the word2vec paper first, then think about how attention works. You'll come to the conclusion these things are likely to be able to beat humans at almost everything.
In my experience, if you confuse an LLM by deviating from the the "expected", then all the shims of logic seem to disappear, and it goes into hallucination mode.
ChatGPT here went with a lexigraphical order in Python for some reason, and then proceeded to make false statements from false observations, while also defying its own internal logic.
"six" > "ten" is true because "six" comes after "ten" alphabetically. "ten" > "seven" is false because "ten" comes before "seven" alphabetically.From what I understand of LLMs (which - I admit - is not very much), logical reasoning isn't a property of LLMs, unlike information retrieval. I'm sure this problem can be solved at some point, but a good solution would need development of many more kinds of inference and logic engines than there are today.