That article you linked to (http://alistair.cockburn.us/ASD+book+extract%3A+%22Naur,+Ehn...) connects the dots really well. Programming is really about building theories and then implementing them with computational building blocks and then transferring the understanding of those theories. Short of developing mind reading I think there is an irreducible complexity in that endeavor that is impossible to skirt around.
In light of that article I'd like to amend my comment about aesthetically pleasant code. Some programmers are good at structuring things so that the overarching theory is present throughout all code level structures. That kind of code is both aesthetically pleasant and easy to read. I don't know if this is some kind of special talent of if it can be learned but given that most software is a confused mess I'm willing to bet there is a large talent component.