Love and Math: The Heart of Hidden Reality — Edward Frenkel

On Reddit someone asked mathematicians what is beautiful about math; it’s the rare interesting-but-SFW Reddit question and, while I’m not a mathematician, I could contribute because I just read Edward Frenkel’s Love and Math: The Heart of Hidden Reality (it’s recommended to anyone who wants to understand more about the relationship of the subjects in the title).

In the preface Frenel says that he hopes “Mathematics will get under your skin just like it did under mine, and your worldview will never be the same.” To him, “we have a hunger to discover something new, reach new meaning, understand better the universe and our place in it,” and math enables us to do so. Throughout the book, he describes many of the unexpected correspondences among branches of math, which I could more or less follow.

The story of love and math is bound with Frenkel’s personal story and how he managed to pursue math despite the Soviet Union’s anti-Semitism, and there are many vignettes about mathematicians along the way, like this one: “Perhaps most importantly, Gelfand possessed an excellent taste for beautiful mathematics as well as an astute intuition about which areas of mathematics were the most interesting and promising. He was like an oracle who had the power to predict in which direction mathematics would move.”

Admiration for math also becomes admiration for the mathematicians who do it: “Galois did not solve the problem of finding a formula for solutions of polynomial equations in the sense in which it was understood. He hacked the problem! He reformulated it, bent and warped it, looked at it in a totally different light. And his brilliant insight forever changed the way people think about numbers and equations.”

Math feels like a thrilling story in Frenkel’s telling, and he persistently and perhaps aptly criticizes the way it is commonly taught in schools, saying that if math were taught like painting, students would endlessly study how to paint a fence but would never look at masters like Cézanne or Titian. Frenkel also thinks in metaphor, as virtually all great writers must, and his use of metaphors anchors otherwise abstract ideas.

Stories about science and discovery are one way to get away from the standard romance plots that power much fiction, and away from many of the portrayals of consciousness that have become effectively masturbatory in much capital-L Literary Fiction. David Leavitt’s The Indian Clerk is a good and underrated example of this.

Thoughts on Dallas Buyers Club

* The movie is brutal; it’s easy for someone who didn’t live through the 1980s to forget or not know how frightening AIDS was when no one knew anything about the disease.

* Like most movies Dallas Buyers Club is too long, by at least 20 minutes and probably 30. Still, many scenes were delightfully under-elaborated, letting watchers fill in gaps.

* Darshak Sanghavi’s article The Pills of Last Resort: How Dying Patients Get Access to Experimental Drugs is out today and covers similar ground from a clinical / abstract perspective; Alex Tabarrok’s argument about the F.D.A.’s slowness, from Launching the Innovation Renaissance, gets a narrative boost from Dallas Buyers Club. Sanghavi observes that Thalidomide launched the modern F.D.A. drug trial rules, but drugs for a minor issue (nausea during pregnancy) and drugs for major issues (imminent death) should have different rules and different standards for safety. The reaction to the Thalidomide story has resulted in a situation that may be worse than the original problem.

* Compare how doctors and bureaucrats are portrayed in Contagion versus Dallas Buyers Club.

Links: Ads, antibiotics, Paul de Man, Pages, and more!

* The unbelievably brilliant ad campaign by Eat24, a food delivery service: “How to Advertise on a Porn Website.” Note that this is safe for work, provided you don’t work in a religious organization or elementary school.

* The most important piece and yet likely to be the least read: “We’ve Reached ‘The End of Antibiotics, Period.’

* “The Many Betrayals of Paul de Man,” or, why it is sometimes impossible to separate the work from the life.

* Pages 5: An unmitigated disaster.

* “Why women lose the [late] dating game: Bettina Arndt listens to the other voices in this debate: the men.”

* “How Texas lost the world’s largest super collider,” a story that is really about the dysfunction and misplaced priorities of American politics.

* Seattle wants gigabit broadband, Mayor McGinn wants to deliver it.

Life: Making the right mistakes edition

The statement of the Shimura-Taniyama-Weil conjecture must have sounded crazy to its creators. . . . the idea that this was true. . . must have sounded totally outrageous at the time. This was a leap of faith, in the form of a question that [Taniyama] posed at the International Symposium on Algebraic Number Theory held in Tokyo in September 1955.

I’ve always wondered: what did it take for him to come to believe that this wasn’t crazy, but real? To have the courage to say it publicly?

We’ll never know. Unfortunately, not long after his great discovery, in November 1958, Taniyama committed suicide. He was only thirty-one. To add to the tragedy, shortly afterward the woman whom he was planning to marry also took her life, leaving the following note:

We promised each other that no matter where we went, we would never be separated. Now that he is gone, I must go too in order to join him.

. . . In his thoughtful essay about Tayniyama, Shimura made this striking comment:

Though he was by no means a sloppy type, he was gifted with the special capability of making many mistakes, mostly in the right direction. I envied him for this, and tried in vain to imitate him, but found it quite difficult to make good mistakes.

—Edward Frenkel, Love and Math: The Heart of Hidden Reality, which is recommended.

What mistakes have you made lately?

Thoughts on the movie Gravity

* Gravity is the best movie I’ve seen in a long time and possibly the first to really make 3-D live up to its possibilities (Avatar, discussed at the link, was okay but overrated).

* Most movies described as “thrillers” use the term to connote a serial killer or supernatural beast or government conspiracy as the generator of primal fear of death, and yet to me they aren’t all that thrilling. Most feel silly and artificial. By contrast Gravity is one of the tensest, thrilling movies I’ve seen.

* The movie feels big—sublime, even.

* Few narrative works, whether movies or novels or TV shows, are genuinely about man versus nature.

* Few contemporary narrative works glorify astronauts or scientists (Contagion is an exception) or make people want to be one. Gravity is an exception. I’m amazed that it got made at all.

* One underlying message may say that we have to get off this planet or die on it or die trying. Rebirth is a potent motif in narrative art, as observed by Campbell, Frazer, and others; one could even argue that birth is a dominant motif in evolutionary biology. In Gravity it is enable by technology.

Links: Fashion and fiction, travel is overrated, modern art, Average is Over, and more

* Francine Prose: “Commerce, fantasy, fetishism: Should we care about fashion?” For a long time I answered no but increasingly I now answer yes. Note especially how she points to the paucity of literary descriptions of fashion, which I have long been blind to.

* Travel is much more boring and aggravating than people give it credit for.

* CDC: Many U.S. Girls Not Getting HPV Vaccine Despite Its Effectiveness.

* Is it modern art or a four year old’s drawing?

* “A bachelor’s degree could cost $10,000 — total. Here’s how.” The short version is, “Unbundling.” I think we are going to see some version of this tried in various places.

* Average Is Over—if We Want It to Be.

* There are few if any new and interesting things to say about Shakespeare.

* Which Job Skills Will Be Most Important In The Coming Years?

* “Why Are There Still So Few Women in Science?” As an alternate explanation, see Philip Greenspun, “Women in Science.”

* What we eat affects everything.

* If You Aren’t Technical, Get Technical. One could also replace “technical” with “literate,” although “technical” certainly has more immediate financial returns.

* Roosh: Katie J.M. Baker Purposefully Distorted My Work.

Your hours

Raymond Chen has a hilarious and quietly insightful post in “I wrote FAT on an airplane, for heaven’s sake,” which ends this way:

During the development of Windows 3.0, it was customary to have regular meetings with Bill Gates to brief him on the status of the project. At one of the reviews, the topic was performance, and Bill complained, “You guys are spending all this time with your segment tuning tinkering. I could teach a twelve-year-old to segment-tune. I want to see some real optimization, not this segment tuning nonsense. I wrote FAT on an airplane, for heaven’s sake.”

(I can’t believe I had to write this: This is a dramatization, not a courtroom transcript.)

This “I wrote FAT on an airplane” line was apparently one Bill used when he wanted to complain that what other people was doing wasn’t Real Programming. But this time, the development manager decided she’d had enough.

“Fine, Bill. We’ll set you up with a machine fully enlisted in the Windows source code, and you can help us out with some of your programming magic, why don’t you.”

One deeper point: Bill “wrote” FAT on an airplane, but in a sense he’d been learning how to write it for a decade or decades. Any complex thing anyone does is built on a wide, deep, specialized foundation. Writing works that way too—I may “write” a given post or essay or proposal in a few hours or days, but in a sense I’ve been learning how to write for at least a decade. Maybe longer. When a post is executed cleanly and well, it’s not because I have some magical ability. It’s because any time spent at the keyboard is the tip of a spear that extends back through thousands of books and hours spent practicing things I’ve done wrong or seen other people do wrong.

Everyone has or should have a skill like that, or should be developing one. What’s yours?

(Chen wrote a similar follow-up post.)

We all become close readers in romance

That evening, as he was returning home, Charles took up again one by one the words she had used, trying to recall them, to complete their meaning, in order to re-create for himself the portion of her life that she had lived during the time when he did not yet know her. But he could never see her, in his mind, differently from the way he had seen her the first time, or the way had just left her.

We all become close readers in romance, where words matter so much and yet are never sufficient. Charles is speaking early in Madame Bovary, which feels shockingly modern (especially read in conjunction with How Fiction Works); most capital-C Classics don’t. Lydia Davis’s introduction is helpful.

Novels in which I root for everyone and no one at the same time are rare, and rarer still in a novel in which most characters express commonplace sentiments like Charles’s. Those ideas work in the context of Madame Bovary. I wonder how and maybe always will.

All of us have had the moments of trying to take “up again one by one the words she had used,” although the gender pronoun will change based on orientation, and all of us have had those words feel inadequate as we try to “complete their meaning”—an infinite amount of commentary can’t complete meaning. In romance and art this is especially painful until it is accepted.

From shocking to tame in a generation: Roth and Updike

Claudia Roth Pierpont’s “The Book of Laughter: Philip Roth and his friends” is unfortunately hidden behind a paywall, but one section stood out to me: she writes that Philip Roth and John Updike met around 1959, when both were getting their first publishing successes, and, “A decade later, they profitably scandalized the country with ‘Couples’ (1968) and ‘Portnoy’s Complaint’ (1969).” Times change: I saw them not as scandalous but as slightly tedious in their obsession with the transgressions of their era. Is the three-way in Portnoy really so shocking?

I thought not. In the context of the novel I understand the Monkey’s fuss, which is primarily a play for power over Portnoy, and one that she sort of wins because he lets her, or doesn’t know any better (the Monkey: “What do I care what happens to her? . . . She’s the whore! And all you really wanted to do was to fuck her! You couldn’t even wait until I was out of the john to do it!”, and then the Monkey threatens to leave. I heard lots of conversations like this in college, when melodrama ran high). Portnoy does have the sense to start disentangling himself: “Then in Athens she threatens to jump from the balcony unless I marry her. So I leave.”

In Portnoy, however, the voice persists even though what seems to have been a shocking scandal has gone away. In Couples I found it merely hard to care about who sleeps with who and why. There were numerous beautiful sentences put to little good use. Updike makes me want to write better sentences but also to construct more interesting plots. I lack his and his characters’s religious sense, which often makes me feel like he’s writing about a foreign culture. Battles over religious feelings are like battles over Communism: important in their day but long-since decided.

Life: Envy edition

“Envy is the religion of the mediocre. It comforts them, it soothes their worries, and finally it rots their souls, allowing them to justify their meanness and their greed until they believe these to be virtues. Such people are convinced that the doors of heaven will be opened only to poor wretches like themselves who go through life without leaving any trace but their threadbare attempts to belittle others and to exclude—and destroy if possible—those who, by the simple fact of their existence, show up their own poorness of spirit, mind, and guts.”

—Carlos Ruiz Zafón, The Angel’s Game