Five Stages of Accepting Constructive Mathematics - Andrej Bauer
Why Hacker News recommends it
Pointed to as a well-done introduction to constructive mathematics when it comes up in logic and proof assistant threads.
What it is
Andrej Bauer's IAS talk introduces constructive mathematics and what it feels like to do mathematics without excluded middle. It is framed as a tour for classical mathematicians.
Recommended by 1 HN commenters across 1 different months, 2018 to 2026.
What Hacker News said
Recommends jimhefferon · 2018-11 · on “The weird and wonderful world of constructive mathematics (2017) [pdf]”
There are a lot of folks here asking for a bit more. Here are two versions of the same well-done talk, from Andrej Bauer: a video [this video] , and a paper [LINK] (sorry, the paper link may not work for everyone, but the video contains basically the same content.)
Cites no_identd · 2019-01 · on “Unprovability comes to machine learning”
That depends on what you mean by "Church-Turing thesis": * [LINK] The Interactive Nature of Computing: Refuting the Strong Church-Turing Thesis (Published version here: [LINK] ) * [LINK] See also a previous hacker news discussion of the Church-Turing thesis here: [LINK] albeit I take issue with the supposed "proof" by counter example via Compass & Straightedge construction given in the video there, due to results like these two: * [LINK] Kellison, Ariel; Bickword, Mark; Constable, Robert L. - Implementing Euclid’s straightedge and compass constructions in type theory [September 2018] (Code here: [LINK] ) * [LINK] (Numerous papers by Michael Beeson et al., just check the page, I won't link th
Cites leonidasrup · 2026-04 · on “"Why not just use Lean?"”
Five stages of accepting constructive mathematics: Denial Anger Bargaining Depression Acceptance A talk about constructive mathematics by Andrej Bauer at the Institute for Advanced Study. [this video] [LINK]