Should Machines Replace Mathematicians?

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  • lean4

    Lean 4 programming language and theorem prover

  • Article by the same author back in 1993, "The Death of Proof"

    https://www.scientificamerican.com/article/the-death-of-proo...

    Some key quotes for the tldr crowd:

    > Anthony Bordg, a mathematician at the University of Cambridge, worries that his field could face a “replication crisis” like that plaguing scientific research.

    > Researchers at Microsoft have already invented an “[interactive theorem prover](https://leanprover.github.io/)” called Lean that can check proofs and even propose improvements—much as word-processing programs check our prose for errors and finish sentences for us.

    > Advances in computer-aided mathematics ... raise a profound question: what is the _purpose_ of mathematics? ... worries that tools such as Lean will encourage a “stunted vision” of mathematics as an economic commodity or product rather than “a way of being human.”

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