http://www.imm.dtu.dk/~tobo/essay.pdf
This may give an idea of the various forms of self-reference. Note that “Gödel himself had a footnote in his 1931 article… saying that any paradox of self-reference could be used to prove the Incompleteness Theorem”.
I think that the self-referential character of G is a metamathematical trait necessary for one in order to be able to apply truth value to G. Otherwise the proposition would be just undecidable (as is proven in the case of Goodstein’s Theorem by Paris-Kirby or the Continuum Hypothesis by Paul...
Intelligence per se (= understanding, predicting and acting accordingly) is not a prerequisite for survival. Countless mindless living beings have been around for millennia and will probably outlive us for all intents and purposes. However, there’s one huge evolutionary advantage in human...
It's been a decade or so since I've read Nagel & Newman's presentation of Gödel’s famous proof of incompleteness and although not a mathematician or logician myself I couldn’t help but laugh facing an ingenious logical process bound to prove a banality like “I’m lying - it’s true!”. Gödel’s...
Don’t think that I take the aforementioned theory any more seriously than the orthodox BBT on grounds of being mine or whatever. I just wanted to show that the same observational data could be construed more or less consistently simply by being put in a different framework. However, I’m quite...
Thank you for answering friend! When I tried to post this theory of mine, the platform did suggest some thread about local, not universal, collapsing (or so I thought) – so I decided to post mine anyway with all respect to similar (and opposite) views. It’s been three years since it first...
Greetings everyone! I used to be a huge big bang theory fan, but these days it strikes me as the most eloquent example of scientific conformism. I can fully understand that the only real alternative to it can be nothing else but a Big Nescio Theory, though ignorance can be very creative when one...