Reading category theory
Trying out Oyster's subscription service for the next few months. #netflixforbooks http:/
Paul, thanks for the provocative piece, though the state of the art is certain much further along that your piece intimates. For the general reader, I would suggest reading MIT professor Cesar Hidalgo's recent book Why Information Grows (MIT Press, 2015) for some general structure and philosophy.
One of the best definitions and frameworks I've seen thus far has to be that of Christoph Adami. To start, and depending on your level of sophistication, take a look at his recent arXiv paper (Information-theoretic considerations concerning the origin of life - http:/
For further references, I maintain a nice list of resources at Information Theory and Biology Resources [http:/
For those who like to watch video material, I'll refer them to some videos from the NIMBioS Workshop on Information and Entropy in Biological Systems [http:/
I'm presuming they won't let him bring the book home? I'll bet that if you can wait a few weeks into the school year you'll find a handful of used copies begin to hit the market, but I HIGHLY doubt that the 6th edition is substantively different from the 4th or 5th edition which you can probably get for pennies on the dollar. (Outside of David Christian's Big History concept (https:/
For an AP class, you may be better off buying some supplementary popular non-fiction books (eg. Genghis Khan and the Making of the Modern World; Cleopatra: A Life; Guns, Germs & Steel; The Landmark Thucydides, anything written by Simon Winchester) which are likely to be more interesting, entertaining, and informative than the "assigned" textbook. They'll help reinforce not only material, but reading skills, and critical thinking. You could also check to see if international editions exist yet and buy one of those at a steep discount (see the link in the article).
Digging around in free online MOOC's can also reveal some excellent non-textbooks and references (like Jeremy Edelman's History of the World Since 1300 https:/
You can also find some additional ideas via: http:/
Why digital natives prefer reading in print. Yes, you read that right. http:/
I would suggest that, at best, real digital natives (at least the reading kind) aren't older than 10 yet.
I recall a few other resources in the same category as this. Here are a few links for meta-coverage on them, which may provide more beneficial than spending hours trying to delve into how to use them:
VidBolt: http:/
Socialbook: http:/
Other tools of interest, which you'll see notes on in the comments to the two above articles:
VideoAnt: http:/
ULBPodcast: https:/
Genius.com: http:/
#BigHistory
There are some much better apps out there for speed reading… Here’s an article with a few ideas: Speed Reading on the Web and Mobile [http:/
I agree Layla, but we can kick it up a million notches from even here. I highly recommend reading Samantha Power's "A Problem From Hell: America and the Age of Genocide". But because it's so viscerally depressing, I highly recommend reading it in VERY small doses over a period of time. Some of our difficulty is in answering the questions, "What can I do?" and "How can I help?" Just take it a step at a time... Everyone should keep in mind that we've got some big elections coming up and candidates should be pressed to commit to concrete action while in office. http:/
I've seen that same article floating around for the past several weeks (in some part because I had the originating professor in college). The trouble with the experiment as it relates to early human societies is that most of them were kinship based, and for basic functionality, they all were forced to intercommunicate and typically put family first in a sense. In this exercise, there is no communication, nor any real speakable "community"- everyone is truly out for themselves.
I've recently been reading Francis Fukuyama's The Origins of Political Order: From Prehuman Times to the French Revolution (Farrar, Straus and Giroux, 2011) [http:/
In short, the interesting exercise here to me seems to be what constructs in society lead to creating the tragedy of the commons and which don't? Figuring this problem out will help to maintain stability in our current culture for generations to come.
I'd mentioned his books previously as very Big History focused here: https:/
@cesifoti Thanks for the link! I presumed that you may have a simpler list that your editor had you flesh out further to better fit the form of a popular press text rather than the sparser forms usually found in academia. I've read a good number of the references I've run across so far, but was more curious to get a snapshot of the overlap and gaps in our respective reading lists. Fortunately Goodreads.com actually has a tool for creating such a Venn diagram.
Most of my "holes" thus far are on the economics side, which I anticipated.
A children's book retailer offers a look at the average times it takes kids to complete a range of classic children's titles. It bears mentioning that the figures in this infographic don't represent data from an empirical study, just the average reading speed per grade level calibrated to the various lengths of the books included. Still, it's a helpful gauge of the various time commitments reading content demands of young readers who are increasingly distracted by other media.
This argument certainly applies to reading advanced mathematics texts. (Cross reference: http:/
In Pinker's framework, advanced mathematics texts do have the requisite coherence relations, it's just that the distance between the relations are less coherent to some than others (who have more background.)
Great start so far! I'm relatively new to the subject (but not to math), but have recently been reading Spivak's "Catetory Theory for the Science" with a group via http:/
This brings up, not surpisingly, an old trope in mathematics: "what use is abstract mathematics?" Some of the philosophy is disccussed well in Michael Harris's new book Mathematics without Apologies: Portrait of a Problematic Vocation [http:/
Often courses like analysis and topology seem awfully abstract, but become much more useful when combined with other topics like linear algebra and group theory to build up other abstract topics like Lie groups and Lie algebras which have more specific problem applications. A few years ago I was shocked to see a Birkhauser/Springer text entitled Stochastic Models, Information Theory, and Lie Groups [http:/
I might suggest you sit back and enjoy the abstract portions of the ride for a bit while keeping your eyes out for applied areas for application. You'll find enough applied math as you go along. In general, you may find that many applied areas will become more comprehensible to you because you better understand the abstract math which underpins them.
One bright light at the end of the tunnel for analysis is that it builds up things for measure theory which underpins probability theory.
For resources, you might find Francis Su's (he's the current president of the MAA) online lectures to be interesting/useful. They can be found via http:/
There are also a wealth of materials via India's IIT http:/