> What does it even mean to "believe the answer is yes", but "in a way that somehow means" the direct contradiction of that is not wrong?
Opinion
Another example: when I hear the famous "Yanny or Laurel" recording (https://en.wikipedia.org/wiki/Yanny_or_Laurel) I hear "Laurel". I can understand how someone hears "Yanny". Our perceptions conflict, but neither of us are objectively wrong, because (from Wikipedia) "analysis of the sound frequencies has confirmed that both sets of sounds are present".
Opinion
Another example: when I hear the famous "Yanny or Laurel" recording (https://en.wikipedia.org/wiki/Yanny_or_Laurel) I hear "Laurel". I can understand how someone hears "Yanny". Our perceptions conflict, but neither of us are objectively wrong, because (from Wikipedia) "analysis of the sound frequencies has confirmed that both sets of sounds are present".