3 ms·
With regards to the "Rucker, Infinity and the Mind" except that says: >The proof of Gödel's Incompleteness Theorem is so simple, and so sneaky, that it is almo
by batista 15y ago
With regards to the "Rucker, Infinity and the Mind" except that says:
>The proof of Gödel's Incompleteness Theorem is so simple, and so sneaky, that it is almost embarassing to relate. His basic procedure is as follows: (...)
Actually, Godel's theorem is not that simple at all. It involves lots of hard math. And it's not about some hazy "Universal Truth Machine", it's about a specified axiomatic mathematical system with certain specific properties.
The "simple" thing that RI&TM describes is a variation of the Liar's paradox. Which is somewhat like what Godel used, but he did not use it in a simplistic way, not at that level of coarseness, and surely not "embarrassingly simple to relate".