I am a bit confused... how do you reconcile SI with Gödel's incomleteness theorum. Any rigid symbolic system (such as one that defines the world in binary) will invariably have truths that cannot be proven within the system. Am I misunderstanding something?

Caffeine addiction. For years nobody had actually tested whether caffeine had a physical withdrawal symptom, and the result was patients in hospitals being given (or denied) painkillers for phantom headaches. It was an example of a situation that many people knew existed, but could not easily communicate to those whose belief mattered.