I have no idea why I think it’s a good idea to post this, but it’s been on my mind lately.
Corrections, qualifications, and suggestions welcome.
Gödel’s Incompleteness →
- “Are you crazy if you think you’re crazy?”
- Free will.
← Chaitin’s Incompleteness →
- Poe’s Law.
- The tension between Watsonian and Doylist explantions?
← Tarski’s Incompleteness →
- Squabbles about the meaning of words.
- Linguistic paradoxes (ofc)
← Löb’s Theorem →
- The notion of a chaotic feature of the environment.
- Hypnosis (example)
- The self-fulfilling prophecy of self-modelling (explanation).
- “Your belief in that makes it so.” Stuff like this, and “A Question of Timidity” from this.
← Fixed Point Theorem →
- Being meta. (e.g. metahumor, etc.)
← The Halting Problem
- Telling if a deadfic is really dead, maybe.
- Free will (again)