You seem to be on some kind of tirade against classical logic. But this has nothing to do with what I asserted, namely that Gödel's theorems don't assume classical logic and that classical mathematics is not a subset of intuitionistic mathematics (where mathematics A is a subset of mathematics B iff all theorems provable in A are also provable in B). I have no intention of defending classical logic here, nor, for the matter, did Gödel in his incompleteness paper. — Nagase

Classical logic is enormously useful and I have nothing against it, but I also have nothing against other types of logic either because they are all context dependent as far as I'm concerned. What is logic and what is a joke simply depends upon the context which is why the US government has finally come out and admitted that they have classified a few jokes as "Vital to the National Defense". When is logic no longer logical? When it contradicts the evidence or itself. When is a stupid joke no longer just another stupid joke? When its more useful than anyone's stupid ideas about reality.