by Jonathan Kujawa

One of my favorite areas of mathematics is Ramsey theory. In fact, my first 3QD essay was about F. P. Ramsey and his marvelous result which launched the field. It is one of those rare parts of mathematics where the results are often easy to understand, hard to prove, and yet delightfully surprising. Just last week came a breakthrough in Ramsey theory which I’d like to tell you about.
Meta-mathematically, Ramsey theory tells us that order unavoidably emerges whenever something is sufficiently large. Even if the structure is completely random or, worse, fiendishly crafted by a nefarious opponent, order cannot help but be found.
Ramsey theory is almost philosophical. How is it that consciousness emerges from our complicated neural network? Or that life appeared from the rich soup of prebiotic molecules in the Earth’s ancient waters? Once you know about Ramsey theory, such things seem more inevitable than miraculous. As Ian Malcolm said, “life finds a way”.
Ramsey theory comes in numerous flavors. Once you know to look for order inside large scale structures, you start finding it everywhere. In Ramsey’s original theorem, he showed that any group of six or more must have three people who are all friends or all strangers [1]. Read more »



Physics writing, let’s face it, is usually pretty boring. In a recent 



Lately I’ve been craving the music of French composer Maurice Ravel (1875-1937). As reality continues to be fraught, in the midst of a pandemic, social unrest, culture wars, and on and on, Ravel’s music offers an enticing escape. Described by his close friend, concert pianist Ricardo Viñes, as “inclined by temperament toward the poetic and fanciful,” Ravel created music that continues to captivate with its otherworldly beauty. Another reason for his appeal now, when the public health crisis has disrupted all of our quotidian rhythms, is that rhythm is the sine qua non of Ravel’s art. All you have to do is listen to 
Being Korean is a behavioral science all its own. There are formalities at all levels of society and potential affronts lurking in every social engagement. Ageism is set in stone, and in honorifics that define older or younger persons, friends, siblings and relatives, as well as differing levels of social standing. Personal humiliations are many and varied, some of them universally recognizable, some of them exclusive to Korea’s tight-knit family structures or evident hierarchies. It goes beyond how to address someone: How to drink soju, how to pour it for a superior, how to bow, when to bow, who to bow to, when to get down on your knees—the list goes on.
Jeanine Cummins’ American Dirt is a string pulled so tightly it is on the verge, always, of snapping. It is like this from the first sentence, when our protagonist Lydia Quixano Alvarez’s 8-year-old son, Luca, finds himself in a rain of bullets while he uses the bathroom. By the second page, sixteen members of Lydia and Luca’s family are dead, murdered by the reigning drug cartel of Acapulco, Mexico.
The language of light is compelling. The suggestions of light at daybreak are vastly different from twilight or starlight, the light of a firefly is not the same as that of embers or cat eyes, and light through a sapphire ring or a stained glass window is not the same as light through the red siren of an emergency vehicle or through rice-paper lanterns at a festival. It matters to writers if the image they are crafting of light is flickering or glowing, glaring or fading, shimmering or dappled. A writer friend once commented on light as a recurring motif in my poetry, and told me that I’d enjoy her son’s work as a light-artist for theater. The thought struck me that light in a theater has a great hypnotic, silent power; it commands and manipulates not only where the audience’s attention must be held or shifted, how much of the scene is to be revealed or concealed, but also negotiates the many emotive subtleties and changes of mood. The same goes for cinema, photography, and other visual arts. Light almost always accompanies meaning. 

“I’ll just google it again”, said my daughter when I asked her to remember something. It was a very reasonable suggestion, but it led me down an interesting line of thought about the nature of knowing and its recent transformation. Much has been said and written about how the Internet has changed human knowledge, in both positive and negative ways. The positives are obvious. The magic of the Internet, the World-Wide Web, and utilities such as Google and Wikipedia, have put enormous knowledge at our disposal. Now any teenager with a smartphone has effortless access to far more information than the greatest minds of a century ago. Even more importantly, the Internet has opened up vast new possibilities of learning from others, and allowed people to share ideas in ways that were unimaginable until recently. Not surprisingly, all this has led to a great flowering of knowledge and creativity – though, unfortunately, not without an equally great multiplication of error and confusion.
