Personally, my own introduction to self-reference is the most excellent The Monster at the End of This Book, a literary work which I had the great pleasure to introduce to my kids upon discovering it on the shelves of our local public library.
Nice one! I remember seeing a short video, from a comment in HN, that was brilliant and was taking the idea of self-reference and our universe being a simulation to the extreme. (Spoilers follow) It was inside a big prison cell, where a new inmate arrived and there was an older man holding a box that contained a duplicate of the cell, but with real (identical) people. Someone could interact and see the results on 2 different levels/realities! Anyone remembers or knows what I’m describing?
For other HN users (and future reference) the short film is titled "Room 8" by James W Griffiths [0], it won the BAFTA 2014 award for short film [1] and is based on a short script written by Oscar winning writer Geoffrey Fletcher.
My favorite recursive music video has to be Radiohead - Burn The Witch. Difficult to explain, but easy to intuit. Brings the listener's reality into the equation at the end, establishing a recursive link. "Model village"
Depeche Mode - Get the Balance Right! music video is an early example of computer-simulated recursive reality and really gets it right, a common trope nowadays.
What a nice surprise to be reading through a great list like this (finding some lovely new things I'd never heard of like 13532385396179) only to come across my own Quine tweet!
Decades ago (after watching this scene from Labyrinth with David Bowie : https://youtu.be/ReFhu8KYbmU ) as a teenager I wanted to make a sentence I could use in a conversation that would always self-reference wrong. First it was "I always lie." But this (less pretty) version was more "accurate" to me :
"I always tell the opposite of the truth."
"Lie" was too vague a concept : one could argue that a lie is "relative", because it depends on subjectivity = what the subject believes is the truth. The "opposite of the truth" is more "absolute" because the subject and his beliefs/knowledge are out of the equation.
"Liar's paradox" is the "name" I discovered in this list today, to describe this kind of paradox. It has a wikipedia page, and pages in other encyclopaedias under this title. So I guess this is the most recognized name for it.
And now for something completely different: does the Liar's paradox name has a name? We know, due to the White Knight via Lewis Carroll, that e.g. the name of the song "A-sitting On A Gate" is actually "The Aged Aged Man" — are there other examples of such curious nomenclature?
Yes, but using "always" makes it a non-paradox. If you are someone who sometimes tells the truth you might have also said this sentence, which would make it (the sentence) simply "not true" instead of a paradox.
I've seen a couple of insurances recently of people who put up a photo of an index page of a textbook. In each case it was from a CS book, and the index of the word "recursion" has its own page number in it.
Back in the early days of Reddit someone made digg and reddit posts that linked to each other. Can't find those now. I'm pretty sure the old/original digg content doesn't exist anymore.
Believe it or not, I was at that PWL meetup in 2017! LISP and metacircular evaluation were definitely among the things that inspired the list. The "Micro-Manual for LISP" mentioned in the talk is on it.