I see the paper uses the term "postmodern" multiple times and references a paper "Notes on Postmodern Programming" which begins with a Manifesto. What does this term mean in this context? I don't like what I smell.
Postmodern in terms of programming refers to that body of thought that posits a replacement of the rigid classist structures with a new functional hermeneutics based not simply on truth or falseness but on an interpretation of access defined as a trajectory of internal and external states across the pattern. Most new PDM (post modern development) is actuated in a bias free programming language called "Chomsky" which is a rigid left recursive grammar untainted by Boolean logic.
I know you're joking, but just to clarify for others: Nothing about Chomsky's work is postmodern. On the contrary, Chomsky is a well-known and fierce critic of postmodernism, both in his political work and in linguistics. He's been openly criticizing "postmodern" thinkers and authors for decades. See for instance [1]. Moreover, his approach in linguistics has frequently been criticized as being too "scientistic" because he re-oriented linguistics towards the natural sciences. After all, he's the one who brought formal, recursive grammar formalisms and grammar hierarchies to the field.
As far as this paper goes, the main idea is pluralism. Much software lore leans quite heavily on grand narratives about how things "should be done". The "postmodern" view is a reaction against that: in favour of multiple, coexisting, smaller stories. These do not have to be mutually consistent.
Of course there are lots of other overlaps between software and postmodernism in other culture, and that was the wider observation of the Noble & Biddle essay... true that it is a bit oblique. You might enjoy this a bit better: https://www.se-radio.net/2006/11/episode-38-interview-james-... -- it's now slightly dated, e.g. how "programming by Google / StackOverflow" was a much newer idea then than it is now.