just last friday i told someone that i secretly believe P=NP but in an ugly 17-squares monstrous manner that won't change much in practice. which could mean that we're in the early innings of mapping out complexity and have a lot of work left to do.
message to fellow instructors: save everything, record everything, collect everything. slides, audio, scrawled notes, anything about your teaching. even if you don't know what you will do with it or how to use AI tools to process it all. just save all the things.
had a great time talking with @PennEngineers parents this parents' weekend... gave a talk an how we're using AI to improve how we teach (& how students learn)... very engaged crowd!
increasingly concerned that ai is revealing the mathematical world as negatively curved. instead of everyone wandering about in idea-space and clustering around the same famous conjectures (local positive curvature), ai is pushing out the boundaries rapidly and revealing that the space of mathematical ideas is ~hyperbolic (negative curvature). though this means there's lots left to discover, it also means that small separations between people/agents will lead to wandering alone.
we may be emerging into an idea-space where there's so much to see and do but everyone is alone in a private heaven, unable to share their subtle joys with others...