> gave *obviously wrong* answers very rarely.
I don't think this is a reason I'd trust it, actually this is a reason I don't trust it.There's a big difference between "obviously wrong" and "wrong". It is not objective but entirely depends on the reader/user.
The problem is it optimizes deception alongside accuracy. It's a useful tool but good design says we should want to make errors loud and apparent. That's because we want tools to complement us, to make us better. But if errors are subtle, nuanced, or just difficult to notice then there is actually a lot of danger to the tool (true for any tool).
I'm reminded of the Murray Gell-Mann Amnesia effect: you read something in the news paper that you're an expert in and lambast it for its inaccuracies, but then turn the page to something you don't have domain knowledge and trust it.
The reason I bring up MGA is because we don't often ask GPT things we know about or have deep knowledge in. But this is a good way to learn about how much we should trust it. Pretend to know nothing about a topic you are an expert in. Are its answers good enough? If not, then be careful when asking questions you can't verify.
Or, I guess... just ask it to solve "5.9 = x + 5.11"