Matteo Capucci

@mattecapu.bsky.social

🇮🇹, amateur professional poster and professional amateur mathematician (general abstract nonsensology applied to systems theory & cybernetics), aspiring psycohistorian. shitposting isn't endorsement. You can't find me here, I'm on @mc@mathstodon.xyz

today's (well-known) trick in category theory: the pasting law for pullbacks works in two directions, i.e. if the right square below is a pb then the left square is a pb *if and only if* the pasting is in other words: drawing the pb corner on the right isn't ambiguous notation

two pullback squares, side by side

Debunking can be a fun way to find an audience in science communication, but I think it can be over-relied on. We should be celebrating more than we are defending, not just because it’s less miserable, but also because it’s good marketing!