ACHILLES: It goes like this: Two monks were arguing about a flag. One said, “The flag is moving.” The other said, “The wind is moving.” The sixth patriarch, Zeno, happened to be passing by. He told them, “Not the wind, not the flag, mind is moving.”
Douglas R. Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid
Introspection and Insanity: A Gödelian Problem
I think it can have suggestive value to translate Gödel’s Theorem into other domains, provided one specifies in advance that the translations are metaphorical and are not intended to be taken literally. That having been said, I see two major ways of using
analogies to connect Gödel’s Theorem and human thoughts. One involves the problem of wondering about one's sanity. How can you figure out if you are sane? This is a Strange Loop indeed. Once you begin to question your own sanity, you can get trapped in an ever-tighter vortex of self-fulfilling prophecies, though the process is by no means inevitable. Everyone knows that the insane interpret the world via their own peculiarly consistent logic; how can you tell if your own logic is "peculiar" or not, given that you have only your own logic to judge itself? I don't see any answer. I am just reminded of Gödel’s second Theorem, which implies that the only versions of formal number theory which assert their own consistency are inconsistent ...
Douglas R. Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid
“In the end, we self-perceiving, self-inventing, locked-in mirages are little miracles of self-reference.”
― Douglas R. Hofstadter, I Am a Strange Loop
“A mirror mirroring a mirror”
― Douglas R. Hofstadter, I Am a Strange Loop
Image from the book Les Yeux du Chat, Moebius et Jodorowsky, 1978
Jodorowsky (1929-) is a special director of movies, like the Holy Mountain, and writer and Moebius, aka Jean Giraud (1938-2012), one of the greatest artists of bandes dessinées.
Music
1 Pendulum Music Steve Reich 1968
INTERPRÉTATION AU CENTRE JOSE GUERRERO (Grenade, Espagne)
Interpretes:
Joan Cerveró
Víctor Trescolí
Isabel León
Estefanía Sánchez
https://youtu.be/fU6qDeJPT-w
2 Pierre Boulez - Le Marteau sans maître (1955)
Hilary Summers, mezzo-soprano Ensemble intercontemporain : Pierre Boulez (Emmanuelle Ophèle, flûte en sol - Marie-Thérèse Ghirardi, guitare - Odile Auboin, alto Vincent Bauer, vibraphone - Samuel Favre, xylorimba - Michel Cerutti, percussion
https://youtu.be/MS82nF85_gA
Douglas R. Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid
Introspection and Insanity: A Gödelian Problem
I think it can have suggestive value to translate Gödel’s Theorem into other domains, provided one specifies in advance that the translations are metaphorical and are not intended to be taken literally. That having been said, I see two major ways of using
analogies to connect Gödel’s Theorem and human thoughts. One involves the problem of wondering about one's sanity. How can you figure out if you are sane? This is a Strange Loop indeed. Once you begin to question your own sanity, you can get trapped in an ever-tighter vortex of self-fulfilling prophecies, though the process is by no means inevitable. Everyone knows that the insane interpret the world via their own peculiarly consistent logic; how can you tell if your own logic is "peculiar" or not, given that you have only your own logic to judge itself? I don't see any answer. I am just reminded of Gödel’s second Theorem, which implies that the only versions of formal number theory which assert their own consistency are inconsistent ...
Douglas R. Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid
“In the end, we self-perceiving, self-inventing, locked-in mirages are little miracles of self-reference.”
― Douglas R. Hofstadter, I Am a Strange Loop
“A mirror mirroring a mirror”
― Douglas R. Hofstadter, I Am a Strange Loop
Image from the book Les Yeux du Chat, Moebius et Jodorowsky, 1978
Jodorowsky (1929-) is a special director of movies, like the Holy Mountain, and writer and Moebius, aka Jean Giraud (1938-2012), one of the greatest artists of bandes dessinées.
Music
1 Pendulum Music Steve Reich 1968
INTERPRÉTATION AU CENTRE JOSE GUERRERO (Grenade, Espagne)
Interpretes:
Joan Cerveró
Víctor Trescolí
Isabel León
Estefanía Sánchez
https://youtu.be/fU6qDeJPT-w
2 Pierre Boulez - Le Marteau sans maître (1955)
Hilary Summers, mezzo-soprano Ensemble intercontemporain : Pierre Boulez (Emmanuelle Ophèle, flûte en sol - Marie-Thérèse Ghirardi, guitare - Odile Auboin, alto Vincent Bauer, vibraphone - Samuel Favre, xylorimba - Michel Cerutti, percussion
https://youtu.be/MS82nF85_gA

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