There are Byzantine Armenian dimensions to this story that I suspect not many people know. Cyrill and Methodius were taught by Leo the Philosopher and Photios, in the University established by Bardas, all Greek-Armenians who clearly knew the transformative effect of having your own writing system (it saved Armenians from assimilation just a few centuries prior to these events). It took Hellenic culture of Byzantine period and Armenian experience to give birth to the first Slavic writing of Moravia and Bulgaria, and later most of Eastern Europe.
Incidentally, the first writing system (Glagolithic) didn't stick nearly as well as the subsequent iteration (Cyrillic) because the latter was so much closer to Greek, and every educated person already knew how to read/write Greek so it was a much easier sell. Regardless, this invention and its promotion was very much a planned and well-understood Byzantine project.
> Thus Bardas founded the Magnaura School with seats for philosophy, grammar, astronomy and mathematics, supported scholars like Leo the Mathematician and promoted the missionary activities of Cyril and Methodius to Greater Moravia.
Did you mean the second paragraph as Cyrillic being closer to Greek? That makes sense but I was confused at first and thought you meant Glagolitic being closer, which makes very little sense.
Oh he's "solving the problem efficiently", just not the problem he purports to be solving. It's all about misaligned incentives in large orgs: people act out of their own self interest, and if the incentive mechanisms are designed incorrectly (or evolved over time into a misaligned framework), you get situations like these. The higher-levels in big orgs typically do play an outright zero-sum game for positions of power, with the object-level problem/domain being mostly a nuisance.
This looks great! What are some of the verticals you think this will be most immediately applicable in, and are you integrating with any? I am thinking a lot of ads/marketing work can be jump-started with these notebooks.
We'd love to see how people use them to understand that better. Our initial hypothesis is that AI Workbooks fit that sweet spot where a chat interface isn't enough, and a Jupyter notebook is too heavyweight. So most likely this will be helpful for technical users and teams who want to experiment/prototype, and collaborate on the results.
Ads/marketing is definitely one vertical, but even for prompt engineering in other verticals we can see this be valuable.
We're especially excited about the multi-modal usecases where you chain multiple models together, but would like the community feedback direct our product direction.
Well, you can ask yourself what is "real value". In fact, more likely than not, it's just some imaginary stuff you ascribe value to, just like "prestige".
Real value is something that can pay your bills :)
Sometimes prestige does it, too, e.g. when you're hired to a better position on a next job, due to your prestigious title, a part in a famous project, etc.
Complex/imaginary numbers are just badly named for historical reasons, they represent an objectively central concept in math and physics, and can be derived from axioms of what we expect from a well-behaved number field. For reals, we have: (A) expected properties of addition and multiplication, (B) total order and other order-related nice properties (Dedekind-complete). Any mathematical structure satisfying (A,B) will be equivalent to real numbers. Now if we extend it to get (C) algebraic closure, so that all polynomials have roots, we get the complex numbers.
Incidentally, the first writing system (Glagolithic) didn't stick nearly as well as the subsequent iteration (Cyrillic) because the latter was so much closer to Greek, and every educated person already knew how to read/write Greek so it was a much easier sell. Regardless, this invention and its promotion was very much a planned and well-understood Byzantine project.
> Thus Bardas founded the Magnaura School with seats for philosophy, grammar, astronomy and mathematics, supported scholars like Leo the Mathematician and promoted the missionary activities of Cyril and Methodius to Greater Moravia.
https://en.wikipedia.org/wiki/Bardas https://en.wikipedia.org/wiki/Leo_the_Mathematician https://en.wikipedia.org/wiki/John_VII_of_Constantinople https://en.wikipedia.org/wiki/Photios_I_of_Constantinople
(these further cite primary sources)