The Future of Math is in Programming скачать в хорошем качестве

The Future of Math is in Programming

Mathematics is never wrong. When a proposition is true, it has irrefutable proof behind it. But what happens when the theorems get complex and the proofs look incomprehensible? You can't be sure anymore. Mathematicians can get tired, misread things and make mistakes. #SoME4 Formal verification of proofs using a proof assistant eliminates these problems. With digital math libraries expanding and more automation tools being developed, it's only a matter of time before almost all math is verified digitally, letting you live in peace with the knowledge that the theorem you just proved on your computer is correct beyond doubt. Apologies for the editing around the end - the audio doesn't match with the video at some points :( Links: The Lean Game Server: https://adam.math.hhu.de/ The Lean textbooks: https://leanprover-community.github.i... https://leanprover.github.io/theorem_... https://lean-lang.org/ The first chapter of the HoTT book for Type Theory: https://homotopytypetheory.org/book/ Try out the code in the video online: https://live.lean-lang.org/#codez=JYW... Twitter:   / ank_yog