Claude has ZERO confidence about it's answers

If you ask it 'x', it gives you a confident 'y' answer. Then, if you ask 'are you sure about your answer?', and continue questioning, at some point it will say 'I don't really know'. If you then ask 'are you sure about your doubt?', it will even doubt its own doubt.

I find this concerning with Claude - with a bit of persuasion, it will doubt any answer it gives. On one hand, it's interesting to see that 'awareness' and skepticism about truth, but on the other hand, it becomes useless when trying to get a solid answer.