The answer is not to play games with the payment as if it's the only thing you can engage with - it's to check the contents of their work.
P != NP, as far as we've discovered. As a non-doctor, I can still understand medical conditions. What I don't have are the heuristics to diagnose a medical condition. The way I see it, I'm hiring a doctor (or any other skilled knowledge professional) for their ability to generate a proof certificate (in the algorithms sense) that convinces me of their declared diagnosis. Any consultant who asserts "The answer is X" without being able to explain that answer to an intelligent non-domain-expert has not done their job.
P != NP, as far as we've discovered. As a non-doctor, I can still understand medical conditions. What I don't have are the heuristics to diagnose a medical condition. The way I see it, I'm hiring a doctor (or any other skilled knowledge professional) for their ability to generate a proof certificate (in the algorithms sense) that convinces me of their declared diagnosis. Any consultant who asserts "The answer is X" without being able to explain that answer to an intelligent non-domain-expert has not done their job.