Malaika Aiyar
I find unifying theories/frames very pleasing. Like category theory, a theory for all of math. When I was in my high school math era my favourite proofs were those that crossed many seemingly-orthogonal fields (e.g. the theorems leading up to quadratic reciprocity in number theory). I love how complexity theory is a unifying theory that can tell us about the difficulty of literally any well-defined problem ever, in a way that is consistent across every reasonable computational model! In conversation with Miles, he keenly noted that unifying frames are a form of compression/abstraction. We are able to remember more information in less space (one rule for both writing and drawing) -- I would guess that humans have a bias for high-information strings. Jason on great ideas: "summarizable in a single phrase". Kajita Hanko, "Two Lovers Hiding in Long Grass as Flame Approaches" I realise I also find compression and abstraction very pleasing when it comes to visual communication & art: see thi
Compression | Malaika Aiyar Compression 02.08.2025 I find unifying theories/frames very pleasing. Like category theory, a theory for all of math. When I was in my high school math era my favourite proofs were those that crossed many seemingly-orthogonal fields (e.g. the theorems leading up to quadratic reciprocity in number theory). I love how complexity theory is a unifying theory that can tell us about the difficulty of literally any well-defined problem ever, in a way that is consistent across every reasonable computational model! In conversation with Miles , he keenly noted that unifying f
Explore this link on the map →related reading
- Work hard | What's newterrytao.wordpress.com
- Tim Gowers - Two culturesdpmms.cam.ac.uk
- 0812.4360arxiv.org
- How To Think Real Good | Meta-rationalitymetarationality.com
- Mathematics as a lossy compression algorithm gone wild — LessWronglesswrong.com
- What is Category Theory Anyway?math3ma.com
- Kill Mathworrydream.com
- Dynamics of Symmetry Group Theorizinglaetusinpraesens.org
- Infinity Category Theory Offers a Bird's-Eye View of Mathematics | Scientific Americanscientificamerican.com
- Computational Complexityblog.computationalcomplexity.org
- Ralph Sarkisralphs16.github.io
- Natural Abstractions: Key Claims, Theorems, and Critiques — LessWronglesswrong.com