>>Is reality invented or discovered?

discovered, this is a tautology

>> Is math invented or discovered?

invented

>> Was automata theory invented or discovered?

invented

>>OK well then is the quicksort algorithm invented or discovered?

invented, unless you believe that humans do quicksort intuitively. In which case it wasn't invented by you, personally.

>>Is LISP invented or discovered?

invented

>>Is my code invented or discovered?

invented