Agreed. It's true that math and programming intersect insofar as one is trying to prove the consistency of imperative commands (either by proving isomorphism with the lambda calculus or Hoare triples or something) but even writing something boring like WordPress invokes algorithmic thinking. You have thousands, possibly millions, of connections coming in a minute and don't want to thrash the database and want to ensure eventual response to all. Sounds like some pretty intense algorithmic thinking to me.
