Videos

Heather Macbeth - Algorithm and abstraction in formal mathematics - IPAM at UCLA

Presenter
February 17, 2023
Abstract
Recorded 17 February 2023. Heather Macbeth of Fordham University at Lincoln Center presents "Algorithm and abstraction in formal mathematics" at IPAM's Machine Assisted Proofs Workshop. Abstract: Paradoxically, the formalized version of a proof is often both more abstract and more computational than the paper version. I will argue that this is part of a different mathematical aesthetic for formalized mathematics: algorithms and abstractions, which read as “tonal shifts” in the context of ordinary mathematical discourse, become acceptable in formalization, which features pervasive and instant cross-referencing to prerequisites. Finally, I will sketch some proofs which I find attractive according to this aesthetic. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/machine-assisted-proofs/