I haven't made a YouTube in awhile, relative to my recent frequency of production. These are non-monetized with a low number of viewers (but climbing with time -- older YouTubes have had more time to garner viewers and so on). My reasoning: I'm in a "teaching tunnel" (we meet for class every week day, me the instructor), so why not aggregate developments in the background?
Among those developments would a be a next dive into Quadrays as a topic, an approach to vectors (like XYZ vectors) that's a little different and that I treat as a "language game" in the philosophical tradition i.e. as a basis for an investigation in to what we mean by such concepts as "linear independence", "dimension" and so on. Here's an opportunity to use preexisting terms in new ways, thereby imparting new spin.
The deep dive began on an archive belonging to the Math 4 Wisdom (M4W listserv). That 4 was especially attractive, given the 4 in 4D Solutions (my company) might overlap. My 4D overlaps the Bucky Fuller 4D. This isn't numerology or mysticism about words. It's mnemonics and branding, or call it advertising. I'm doing business when I work on Quadrays. I consider it part of my job description.
However, the whole topic of Synergetics and the Bucky stuff is mighty alien to your run o' the mill mathematics PhD. Wittgenstein's philosophy of mathematics got shelved awhile back, because LW seems insufficiently impressed or respectful vs-a-vs the amazing breakthroughs that've been made around infinity, thanks to Cantor and company. He just never jumped on the right bandwagons. Mathematics is to some extent a political process, as Bourbaki well knew.
I ended up continuing a thread, started on the M4W listserv, on Synergeo, more appropriately a home for it in retrospect. M4W is also about establishing a new equilibrium in Europe however, which includes much of Russia (geographically and culturally speaking), giving voice to mathematicians who care to weigh in on matters bureaucratic and academic. Citizen diplomacy is not verboten in other words, even on TikTok.
