I'm interested to understand how
people view the creative process that
is Sound Design.
I think "creative process" is undefined or varies from person to person and therefore may not be a very interesting or at least not a "certainly answerable" question.
Specifically, how it
relates to Production Design and Audio
Post Production activities.
I think that production design and sound design are two separate things and there are different people or teams designated to them. I also claim that production design precedes everything, it defines "what the production is about and what everyone else will be doing", i.e. sets the thematic and stylistic groundwork for the whole production.
Sound design can be thought to equal "audio post production". Or it may be seen as a part of the overall "audio post production activity". I think this is not a relevant question and may need to be specified more (i.e. what do you really want to know?).
what are the specific inputs to the
creative process and what are the
As of now I don't think anyone has been able to define "creativity". It's a philosophical or an opinionated question. Unless we stick strictly to the "dictionary definition".
How do those outputs feed
into Audio Post Production and other
elements of the sound production
process such as Soundtrack
I think these both and all are human activities that work on a set specification and aim for a certain goal (a completed production).