From 'Philosophizer' (the maze)

IS every maze soluble — by logic? That's something I don't know without looking it up — in case some maths professor has written a proof about it. I'm guessing the answer is, no.
     We're assuming that you don't have a way to remember or mark the paths you've been down before — and doubled back on — otherwise, the rule is, 'Exhaust all the possible routes and you'll eventually get there.' Assuming the maze is finite, of course.
     And you live long enough.
     No piece of chalk. Maybe you had the bright idea of tearing off bits of your clothing and dropping them at intervals, but eventually you will be stark naked.
     You don't have a compass. You can only guess the distance you've walked, the angle of every left or right turn, the radius of every curve, etc. So dead reckoning is a non-starter.
     Lost in a maze. One variety of tragic irony. You don't know if you've been this way before, once, or a hundred times. You could be making the same mistake, over and over.
     'It's an investigation. A hunt... For I know not what.' — Well, OK, but face the fact that the truth won't necessarily come out. For all you know, you could be doomed to go round and round in circles forever.
     So I might fail. So what?
     Considering how many times I've failed before, at so many things... but I'm not even going there.
     Why is the possibility of failure a bad thing? Wouldn't it be worse if every time you tried something, you succeeded? What would it even mean in that case to try anything?...