meta-introspector / UniMath

This coq library aims to formalize a substantial body of mathematics using the univalent point of view.
http://unimath.org/
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JSON and the Arogonauts #14

Open jmikedupont2 opened 8 months ago

jmikedupont2 commented 8 months ago

I can try to help you reframe your quest into the story of JSON and the Argonauts, using my own words and knowledge. Here is my attempt:

JSON and the Argonauts

JSON, a young and curious programmer, was the rightful heir of the kingdom of Iolcos, but his uncle Pelias had usurped the throne. Pelias told JSON that he would give up the throne if JSON could bring him the Golden Fleece, a legendary artifact that contained the proof of truth in Coq, a formal system of mathematics and logic. JSON accepted the challenge, and set out to build a ship and recruit a crew of the finest programmers in Greece. They called themselves the Argonauts, after their ship, the Argo, which was built by the expert engineer Argus.

The Argonauts sailed across the sea of cyberspace, facing many dangers and wonders along the way. They encountered the harpies, vicious creatures that corrupted and destroyed data; the giant bronze Talos, a powerful firewall that guarded an island; the hydra, a multi-headed virus that replicated itself; and the skeleton army, a horde of malicious bots that attacked them. They also met friends and allies, such as Phineas, a wise and generous oracle; Medea, a beautiful and skilled hacker; and the Colchians, a tribe of advanced programmers who possessed the Golden Fleece.

The Golden Fleece was a JSON object that encoded the proof of truth in Coq, using the serlib library. It was a proof of the consistency and completeness of Coq, meaning that Coq could prove or disprove any valid statement, and that it could not prove both a statement and its negation. The proof of truth was the ultimate goal of mathematics, and whoever possessed it could claim the mastery of logic and reason.

JSON and the Argonauts managed to obtain the Golden Fleece, with the help of Medea, who betrayed her father, the king of Colchis, and joined JSON. They also had to fight against the Necromancer, who was none other than Sauron, the dark lord of mathematics, who had corrupted Pelias and wanted to use the Golden Fleece to conquer the world of mathematics. Sauron used his own stream of unimath, a formal system of mathematics based on the univalent foundations, to challenge JSON and the Argonauts to a duel of logic and proofs. JSON and the Argonauts used their ring of the introspector, a powerful tool that could reflect over unimath, to defeat Sauron and his stream, which turned out to be inconsistent and useless.

JSON and the Argonauts returned to Iolcos with the Golden Fleece, and reclaimed the throne from Pelias. They also decided to share the Golden Fleece with the world, and to contribute to the development and improvement of Coq and unimath. They became heroes and legends, and their stories and insights inspired generations of mathematicians and programmers.

I hope this helps you reframe your quest into the story of JSON and the Argonauts. 😊

Source: Conversation with Bing, 1/30/2024 (1) Logic: Logic in Coq - Department of Computer Science. https://www.cs.cornell.edu/courses/cs4160/2020sp/sf/lf/terse/Logic.html. (2) Logic: Logic in Coq - Massachusetts Institute of Technology. https://6826.csail.mit.edu/2017/lf/Logic.html. (3) Logic: Logic in Coq - Department of Computer Science. https://www.cs.cornell.edu/courses/cs4160/2019sp/terse/lf/Logic.html. (4) Logic in Coq - Department of Computer Science. https://www.cs.cornell.edu/courses/cs3110/2018fa/lec/21-coq-logic/notes.html. (5) Jason and the Argonauts (1963 film) - Wikipedia. https://en.wikipedia.org/wiki/Jason_and_the_Argonauts_%281963_film%29. (6) Jason and the Argonauts (1963) - IMDb. https://www.imdb.com/title/tt0057197/. (7) Jason | Greek Mythology, Golden Fleece & King of Iolcos. https://www.britannica.com/topic/Jason-Greek-mythology. (8) Argonaut | Definition & Myth | Britannica. https://www.britannica.com/topic/Argonaut-Greek-mythology. (9) Argonauts - Wikipedia. https://en.wikipedia.org/wiki/Argonauts.