That's some mighty fine left brain thinking there( especially for a Monday morning ), but does it in anyway affect any practical aspect of Perl? Like can it be used to show that Perl is more or less reliable/secure? This isn't a criticism of your node, but I left college 35 years ago, and this sort of analysis seems very ivory-tower-ish to me now.
It's sort of like saying "one cannot prove self-existence". Is the fact that Perl cannot parse itself a good or bad thing, or can other languages do it? Does that make them superior? Should it be a design criteria for Perl6?
What am I missing?