Coq-Equations
principia
| Coq-Equations | principia | |
|---|---|---|
| 1 | 10 | |
| 209 | 198 | |
| - | - | |
| 6.8 | 2.7 | |
| 8 days ago | 10 months ago | |
| Coq | TeX | |
| GNU Lesser General Public License v3.0 only | GNU General Public License v3.0 only |
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Coq-Equations
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Learn coq or agda before diving into idris2?
I'd say Agda is more similar to Idris than Coq. Coq has a different syntax and isn't as good for programming with dependent types as Agda and Idris (Agda and Idris both put a huge emphasis on dependent pattern matching, something that Coq only recently gained support for through the Equations package).
principia
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Principia Mathematica in modern notation.
You can check it out here: https://www.principiarewrite.com/
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It took Russell and that other guy 360 pages to prove that 1+1=2. That's how rigorous math is.
It's crazy to think that we didn't really know for sure whether 1+1=2 until ~1910, yet it's true. That's when Bernard Russell (best known for Russell's teapot, exposing a logical fallacy in Christianity) and some other dude actually proved it from axioms. They laid out the foundation of 1+1 in a book called Principia Mathematica. They worked so rigorously that it took them 360 pages to even prove something as basic as 1+1=2 using the axiomatic method. If you want to use a modern tool like Coq to verify 1+1=2, then the best way of doing this is to formalize Principia Mathematica in Coq.
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Which is the most abstract and bizzare book of mathematics you have ever came across?
There are people trying to make it more readable.
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Ask HN: Would prog. language look like if that was designed by no-programmer
Principia
A work from the early 20th century, mathematics, logic.
I think some expert called Bertrand Russell's and A.N. Whitehead's "Principia Mathematica" initiative a "bizarre" piece of work, when seen from the perspective of a programming language designer.
I can't make a qualified statement about this, as I am neither a mathematician nor a language designer. And I cannot find the exact quote on the internet, sorry. Just saying.
In code? See for yourself :
https://www.principiarewrite.com/
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Hacker News top posts: Dec 6, 2021
Whitehead and Russell’s Principia rewritten in Coq\ (44 comments)
- Whitehead and Russell’s Principia rewritten in Coq
- The Principia Rewrite: Whitehead and Russell’s Principia Rewritten in Coq
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