I like this idea, because it doesn't involves special meaning of braces or Algol-style function calls. I just prefer
(2 + (3 * (sqrt 4)))
to
{2 + {3 * sqrt(4)}}
but maybe this is just me. You could even add a fancy analysis function to do precedence which would allow things like
(2 + 3 * (sqrt 4))
Maybe I am missing something that would create difficulties for this system, but I tried the modification suggested above and it actually worked, so I am inclined to think this could be a good way to implement infix math.
I thought about this a little bit and I suppose the simple way would be to determine precedence based on the particular functions the symbols are bound to, rather than on the symbols themselves. But wouldn't you really want symbol precedence?
