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The Future of Mathematics?

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Further reading 1

How much does a successful demonstration establish? →A program gives the expected output. Between “it did” and “it will” lie the test distribution, formal assumptions and deployment context. Those boundaries are easy to miss under pressure to ship.This video helps answer · What can a formal check actually verify?

Caption notes

Buzzard describes formalizing existing mathematics in Lean as groundwork for a connected mathematical library, and discusses the effort and trust that requires.

Original passages · 5
Before we can start proving new theorems, we need to be able to state old theorems
The Future of Mathematics? · ▶ 53:37–53:49
You should get them to formalize stuff that they understand.
The Future of Mathematics? · ▶ 43:20–43:35
a database of stuff and a database of links between that stuff.
The Future of Mathematics? · ▶ 57:56–58:17
First, they understand it, then they formalize it
The Future of Mathematics? · ▶ 43:35–43:38
we need to be able to state old theorems
The Future of Mathematics? · ▶ 53:40–53:42

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