Re: thing-at-point's meaning of current sexp vs. up-list's: which is correct?

[Kelly Dean]

Davis Herring wrote:
>Point isn't on a character, but between them; the box cursor is drawn on
>the character following point. Therefore when the cursor is on a ),
>point is definitely inside the parentheses.

I switched to Emacs almost six months ago; I'm surprised I missed something 
this basic until now.
The docstring for (point) says "Beginning of buffer is position (point-min)", 
so point is at, not between, "positions".
If there's one character in a buffer, then point can be at position 1 or 2. 
Which position is the character at? Or are characters not at positions, but 
_between_ positions? That seems weird. I always thought both point and 
characters were at positions.