what a coincidence, edu-Youtuber Brady Haran just uploaded three videos about the Vatican Observatory, a long interview with brother Guy and the their collection of space rocks:
Nice short film. Langlands was a theory builder as opposed to someone like Erdos who was more interested in solving problems. Theory builders are often admired, but because the endeavor is so broad, very few of them emerge and even fewer are actually successful.
I like the part where he said he began to write before he understood everything, and in order to write he had to discover many things, and even had to discover them after he started to write.
It underscores the crucial role of writing in discovery. Most writers will tell you they are exploring the space during the writing process. Writing isn't a process of committing what you already know to paper; it's a process of learning what you don't know and or haven't considered. It often leads you down paths you would never expect. (this happens to me with my HN comments too -- I often myself writing a very different comment from the one I set out to write)
This is why I think a Ph.D. dissertation should be a continuously evolving collection of notes, and not something you "write-up" in the end after all the work is ostensibly done.
From The Rising Sea:
Grothendieck on simplicity and generality by C. McLarty:
Grothendieck describes two styles in mathematics. If you think of a theorem to be proved as a nut to be opened, so as to reach “the nourishing flesh protected by
the shell”, then the hammer and chisel principle is: “put the cutting edge of the chisel against the shell and strike hard. If needed, begin again at many different points until the shell cracks—and you are satisfied”. He goes on to say: "I can illustrate the second approach with the same image of a nut to be opened. The first analogy that came to my mind is of immersing the nut in some softening liquid, and why not simply water? From time to time you rub so the liquid penetrates better, and otherwise you let time pass. The shell becomes more flexible through weeks and months—when the time is ripe, hand pressure is enough, the shell opens like a perfectly ripened avocado!"
Incidentally, I have heard Serre's work described as the exemplar of the hammer-and-chisel approach. (McLarty goes on to say that Bourbaki's work fits in the rising-sea approach, which is surprising to me.)
That's also why I detested the formal, algorithmic writing method you learn in English classes. They always wanted you to turn in an outline before you had even begun your paper. How are you supposed to organize a paper before you even have anything to organize?
This is a charming film! How did you decide to include things like that little bit about him paying for the lectures he had posters of? Or the scene where you were peaking in from outside (which I suppose is a metaphor for the craft of creating character films in the first place).
I suspect the Arri Alexas are not on the list because they do not have "a true 4K sensor (equal to or greater than 4096 photosites wide)." The SXT has a 3404 x 2202 resolution when used in open-gate format.
My father plays in a baroque orchestra (the Amsterdam Baroque Orchestra), and I know that when they play a repertory, e.g. Dieterich Buxtehude, the orchestra tunes to 465 meantone.
I suspect the temperament makes a dramatically larger difference than shifting every note sharper by a bit less than (95.7% on a log scale) a semitone compared to A440.
The Pope's Space Rocks
https://www.youtube.com/watch?v=5OI4wb2XIZc
The Pope's Telescopes - Deep Sky Videos
https://www.youtube.com/watch?v=ccoGKAL6Qas
The Pope's Astronomer - Sixty Symbols
https://www.youtube.com/watch?v=Z0DAKaR16cY