What a posthumous brain scan reveals about Leonardo Da Vinci's creativity?
brainpickings.org
brainpickings.org
His brain was mixed up; his life was mixed up. Where Da Vinci ended and the world began was no where to be found. His interests saw no division, his talents no distinction. He degraded himself, rolled in the dirt, put his roots there and grew taller than the ivory tower. He without lineage outgrew any line; he came from the tenebrous muck of the world and left for the heavens.
I don't think any expert should be unhappy for "missing out on knowledge" of many fields, because knowledge is infinite -- he should instead be happy to know the essential knowledge of some fields and be able to expand the frontier of human knowledge, which I believe is more satisfying than just soaking up results of all is out there (and probably can pay your lunch).
In popular words, "Jack of all trades, master of none" (unless you're in the middle ages).
"People will doggedly pursue answers to their questions without such rigid social structures" -- that is a good observation imo, and I think science progresses best when it is oriented around problems. The specialization then comes as devoting large amounts of time to a deep understanding of the problem and the different tools necessary to get it solved. But perhaps it's only natural (or human nature) to split tools into categories to study them separately and effectively, and be able to draw upon people who know those tools very well.
In his words:
"...I have methods for destroying every rock or other fortress, even if it were founded on a rock, etc. Again, I have kinds of mortars; most convenient and easy to carry; and with these I can fling small stones almost resembling a storm; and with the smoke of these cause great terror to the enemy, to his great detriment and confusion. ..."
http://www.theladders.com/career-newsletters/leonardo-da-vin...
If he wanted to go all the way to the Atlantic, why did he stop at Elbe and spend time negotiating at Potsdam.
http://www.smh.com.au/articles/2002/12/11/1039379883809.html
Mathematics is built around a similar sort of cipher. Even learning from textbooks is not enough to truly penetrate the collective knowledge stored in the symbols of math. The symbols change from sub field to sub field and in a certain sense encrypt the knowledge from one who has not read all preceding papers.
It makes me wonder if one could perform some sort of cryptanalysis on these documents as a method of understanding.
I think all barriers of language are social barriers.
I think many fields are like this, and the "dream" of ending selective residential colleges (which are designed to facilitate this kind of social study) in favor of MOOCs may not be so idyllic.
And this one can help you search that page if you can't copy-paste a symbol (like if you are reading from a physical text):
I want something similar for programming language operators. There are so many operators that do distinct things in different languages. For example: ":", ":=", "=", "::", "->", "{}", "()", "[]" etc. may be slightly or entirely different between two languages.
Because there's a lower barrier to entry to creating a new syntax than there is to creating a new branch of mathematics, the programming syntax page would be immensely larger than the Wiki page for mathematical symbols, possibly even warranting a dedicated website.
For reference: https://en.wikipedia.org/wiki/Mona_Lisa#/media/File:Mona_Lis...
It was painted around 1503. Compare to something around the same time -- Lorenzo Di Credi -- http://lj.rossia.org/users/marinni/418072.html
Look at the comparison of detail on the dresses. Look at the hands, and the slightly darker color where the light doesn't reach as strongly on the tips of her right hand. Look at the small details on her face like the lines around her cheek bones -- Leonardo was making striking advancements about how to make portraiture more realistic.
We can copy his techniques fairly easily, but creating the techniques is hard.
On a tangent, this is the soundtrack to the eponymous movie, Pollock by composer Jeff Beal. Give it a listen, while taking a look at some of Pollock's catalog: https://www.youtube.com/watch?v=oD0nFjjUCQo&list=RDoD0nFjjUC...
Like nwatson, I wasn't moved the first time I saw Mona. But understanding her history brought her to life the next time we met.
Throwing paint at the wall like a baby projectile-vomitting rainbow-colored Gerber puree'd carrots?