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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
20
votes
5
answers
2k
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Does formalizing math require search and creativity, or is it near-mechanical?
I remember reading somewhere that it takes about a week to convert a page of math into something a proof-assistant like Isabelle or HOL Light would accept.
Is this type of conversion something that r …
3
votes
Does formalizing math require search and creativity, or is it near-mechanical?
In a recent interview, Terence Tao opined on this:
When you gave a talk about a different mathematical project, someone asked you if you wanted to formalize it, and you basically said that
it takes t …
157
votes
5
answers
28k
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What makes dependent type theory more suitable than set theory for proof assistants?
In his talk, The Future of Mathematics, Dr. Kevin Buzzard states that Lean is the only existing proof assistant suitable for formalizing all of math. In the Q&A part of the talk (at 1:00:00) he justif …