CoqEquations
principia
CoqEquations  principia  

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219  203  
    
8.1  1.0  
29 days ago  3 months ago  
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CoqEquations

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

Principia Mathematica in modern notation.
You can check it out here: https://www.principiarewrite.com/

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.

Which is the most abstract and bizzare book of mathematics you have ever came across?
There are people trying to make it more readable.

Ask HN: Would prog. language look like if that was designed by noprogrammer
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/

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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