Depends of your threshold for “significant”; no; yes; no.
My answer to all four questions is yes, even though I think the rational belief is no.
Shouldn’t that be a warning sign? “I believe X, but it’s rational to believe not-X” usually means you don’t really believe X, but are merely professing it, or you believe you believe it, etc.
I believe that I am not rational, and that it is rational to be rational. One of those is an observation about reality, and one of those is a logical conclusion.
All four questions are intended to be different statements of the same state-of-universe. Having different answers for them is not supposed to be possible.
Depends of your threshold for “significant”; no; yes; no.
Shouldn’t that be a warning sign? “I believe X, but it’s rational to believe not-X” usually means you don’t really believe X, but are merely professing it, or you believe you believe it, etc.
I believe that I am not rational, and that it is rational to be rational. One of those is an observation about reality, and one of those is a logical conclusion.
All four questions are intended to be different statements of the same state-of-universe. Having different answers for them is not supposed to be possible.