[avandonk]

Sorry G__day I am only a lowly Physicist and my short paraphrasing was only meant to convey some idea of Godels thinking. The fact that a self referential well defined system such as simple number theory stumbles is cause for concern, at least it was in the thirties.
Chaos theory has this as well. In other words even seemingly well behaved systems if they are non linear are not deterministic. And yet the paradox is a non deterministic system can lead to stability. One example is your heartbeat.

I also agree with all you said, the bits I understood. The impression I got was that to get rid of the inconsistencies and paradoxes the defining system had to be outside the system under scrutiny. I missed the point that even this does not solve the problem. The problem is inherently embedded in the system as it gets more complex.Have I got this correct now? I am amazed we can even begin to elucidate how things work, let alone be so smug to think we can get a Theory Of Everything. That should not stop us from trying however no matter how futile.
I will now go back to cavorting with all the other gnats in the sunshine! Or is that join two cockroaches Pons and Fleichmann arguing about nuclear fusion.

Bert