Research on intuitions about philosophical thought experiments shows a striking pattern. Often, there are powerful intuitions on one side and also powerful intuitions on the exact opposite side. A question now arises about how to understand this pattern. One possible view would be that it is primarily a matter of different people having different intuitions. I present evidence for the view that this is not the correct understanding. Instead, I suggest, it is primarily a matter of individual people having *conflicting (...) intuitions*. That is, it is primarily a matter of individual people having an intuition on one side and also having an intuition on the opposite side. (shrink)