What is a proof? And what is a proof assistant? Isn't writing proofs what mathematicians are supposed to do themselves? In this episode, Sander Dahmen and Jim Portegies, will help us explore these questions and introduce us to the fascinating world of fomralizing mathematics. Of course, after taking our time to get to know them better."I always wanted to turn this around and say there's nothing wrong with being not smart in mathematics and it should be okay if you work on a proof, to not understand it, to struggle with it. So if you do a computation, make three extra steps, it should be okay to give yourself that time." Wouldn't you agree? Listen to this episode to find out where this quote came from and let us know yuor first experiences with proofs.Links for the episode:Sander Dahmen's websiteJim Portegies' website ⁠Links to Lean, the mathlib library and the mathematics in lean bookLink to the ⁠natural number game⁠ and moreLink to waterproof, Jim's constrained natural language proof assistantLink to rocq and the math-comp libraryTerence Tao's talk on machine assisted proofs at Simons Fundation on February 19, 2025= = = { 0 } = = =Produced by Marcello Seri and Anna de Bruijn= = = { 0 } = = =Illustrations by Henrieke KrijgsheldThe podcast soundtrack is derived from the royalty free track Starving by OctoSound and used in agreement with pixabay license https://pixabay.com/music/funk-starving-170377We are grateful to the Faculty of Science and Engineering of the University of Groningen for allowing us to use their equipment for this recording.

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