It seems to me that this is not a contradiction of two rationalities. Rather, it is similar to the resonance of doubt. If a placebo works when you believe in it, that means that if you believe in it, it will be true. Here you need a reverse example, when if you believe that something is true, then it becomes false. (Believing that something is safe again won’t work, since you just need to not act more carelessly based on the safety of something, which is just a matter of instrumental rationality)
If you believe that the placebo works, it works. You’re right in believing it works. If you don’t believe that the placebo works, it doesn’t work. You’re right believing it doesn’t work
If you believe that the sky is blue, you’re right. If you believe that the sky is green, it’s still blue, you’re wrong.
Truths that have humans involve some amounts of reflexivity.
It seems to me that this is not a contradiction of two rationalities. Rather, it is similar to the resonance of doubt. If a placebo works when you believe in it, that means that if you believe in it, it will be true. Here you need a reverse example, when if you believe that something is true, then it becomes false. (Believing that something is safe again won’t work, since you just need to not act more carelessly based on the safety of something, which is just a matter of instrumental rationality)
If you believe that the placebo works, it works. You’re right in believing it works.
If you don’t believe that the placebo works, it doesn’t work. You’re right believing it doesn’t work
If you believe that the sky is blue, you’re right.
If you believe that the sky is green, it’s still blue, you’re wrong.
Truths that have humans involve some amounts of reflexivity.