Exploring Lean: A Programming Language for Formalizing Mathematics
By
danabramov
Crackling crust, pillowy middle. The kind of bagel that earns a second cup of coffee.
Summary
The article explores the use of Lean, a programming language primarily utilized by mathematicians to formalize mathematics. It describes how Lean allows mathematical concepts to be treated as code, enabling the sharing and verification of theorems and proofs. The piece provides an introductory glimpse into the experience of using Lean and its potential to revolutionize mathematical knowledge representation.
Key quotes
· 3 pulledLean is a programming language, but it is mostly used by mathematicians. That is quite unusual!
Lean lets mathematicians treat mathematics as code—break it into structures, theorems and proofs, import each other’s theorems, and put them on GitHub.
The big idea is that eventually much of the humanity’s mathematical knowledge might be available as code—statically checked, verifiable, and composable.
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