Monthly Archives: September 2023

The Irrationality of Pi

Although the nature of existence is poorly understood, I tend toward Karl Popper’s “Three Worlds” model, postulating the realms of the physical, the cognitive, and the ideational.1 Consciousness arises from physical (electrochemical) processes, and we can consciously interact with ideas. The questions is whether the physical or ideational is primal or if they require each other. The fact that the physical world runs on what seem to be finely-calibrated relationships and laws is striking, although possibly an accident via cosmological natural selection.2

Whenever I feel that there might be a “mathematician” behind the laws and “just six numbers” that make the cosmos work, I think of what a friend of mine observed about pi, the fact that the ratio behind the beauty and simplicity of a circle is a repeating, irrational number, a number that goes on forever.

Notes
12

  1. Karl Popper, “Epistemology Without a Knowing Subject,” Objective Knowledge, 1972 (1968), 106-152. ↩︎
  2. See generally, Lee Smolin, The Life of the Cosmos. ↩︎

Mass Culture Hijacking

By Michael F. Duggan

With twenty battle stars, the USS Enterprise is the most highly decorated U.S. warship of the Second World War. Many, perhaps most, Americans associate its name with a fictional spaceship. Between 57 million and 97 million people are estimated to have died in the World Wars, and yet many, perhaps most, Americans associate the term stormtrooper with fictional, anonymous soldiers from the Star Wars franchise. Rocky Marciano was the only undefeated world heavyweight boxing champion winning 49 out of 49 fights, 43 by knockout, and was never fought to a draw. And yet most Americans associate the name with a fictional fighter played by Sylvester Stallone.

Donatello, Leonardo, Michelangelo, and Raphael were among the front row of Renaissance painters. Except for art and art history majors, a generation or two of Americans associate these names with anthropomorphized cartoon turtles. In terms of volume, the Amazon is the largest river on Earth and its basin is the most biologically diverse region of the planet. And yet a simple Google search of “Amazon” did not provide a single result for the river and its basin among the top 20 hits. The river came in at 21.

I will let these observations speak for themselves.

Fog and Adumbrate

By Michael F. Duggan

In an essay titled “Fog of War brought Down to Life” (September 4), Gilbert Doctorow suggests that even the most informed of us—a category to which I do not include myself—really have little idea of what is happening on the front lines in Ukraine. At least that is how I read it.

Western news sources point out Russian mistakes and miscalculations, poor equipment, bad morale, and incompetent leadership, and yet they devised a defensive line in depth that stopped the Ukrainian summer counteroffensive. Some independent, realist, and pro-Russian sources predicted the failure of the Ukrainian counteroffensive, huge casualty rates, shortages of Ukrainian reserves and artillery shells, and a grinding Russian counter-counteroffensive leading to victory in late summer or fall. And yet is late summer and Ukraine is still punching hard and fighting back with great intensity.

Scott Ritter stands by his prediction of a Russian strategic victory over the coming month or two, and Western media sources are heartened by the apparent breakthrough by Ukrainian forces in the area around Robotyne and Verbove. What seems certain is that something will give, somewhere. The alternative is an “ugly” Russian victory and/or a never-ending frozen conflict that is like a larger and more active version of the demilitarized zone between the Koreas. Ukraine may end up as “Korea West” in the new Cold War.

Jimmy Buffett, 1946-2023

By Michael F. Duggan

America’s favorite epicurean billionaire is gone at 76. He wrote some fun songs, and created and guarded a branding empire like a Gilded Age robber baron.

I was ambivalent about Buffett’s music, briefly embracing at fleeting moments during fleeting summers in my twenties, and I am sure that I knew some Parrot Heads. It was certainly a background mainstay of laidback summer drinking events at the shore. A lot of his songs are about drinking and now seem self-indulgent, self-centered, and even self-pitying (“A Pirate turns 40”).

But beyond a Dionysian celebration of drinking rum and braggadocio about the high-octane escapist lifestyle, what is there? Among his Greatest Hits are a couple of decent breakup/makeup songs (“Come Monday,” “Miss You so Badly”), and a few novelty songs (“Cheeseburger in Paradise,” Pencil-Thin Mustache,” “Why Don’t We get Drunk?”, and that really silly one about the volcano). This hardly puts him up there with Dylan or Lennon and McCartney, much less the Gershwin’s or T.S. Eliot. As a friend of mine pointed out, his most soulful song, one that is not about himself, may be “He Went to Paris,” which is thoughtful, sympathetic, and bittersweet.

He had a knack for melody, although sometimes they run together a little. But in general, Buffett seemed to be mostly about Buffett, and I suspect the appeal, beyond the facial allure of tropical carousing, was the fact that we could put ourselves in his shoes by singling along with him (if The Simpsons is to be believed, he did not let people cover his songs). Perhaps I am overthinking it and should take his music for what it is as a not insignificant contribution to the songbook of American summer vacation.

It seems fitting that he left us at the end of summer on Labor Day Friday.

Verbove and Environs

By Michael F. Duggan

Last week the Ukrainian Ground Forces took the village of Robotyne on the Russian front lines along the Tomak-Melitopol axis in Zaporizhzhia. The town appears to have been destroyed and one wonders if the destruction was entirely due to extremely heavy fighting, or if it was pre-targeted as a likely objective of the counteroffensive, or both. The next town in the direction of Tomak is Novoprokopivka, a short distance to the south.

But rather than attacking this town directly, Ukrainian forces appear to be using a flanking operation from the east in order to envelope or else bypass it. They appear to be moving southeast by the left flank, toward the town of Verbove. Reports from both sides indicate that advanced elements of the elite Ukrainian 82nd Airmobile Brigade, which until recently had been held in reserve, have breached the initial Russian lines of tank traps and minefields by securing a road into the town. At this point, the Ukrainians may be holding the northwest part of Verbove.

When a combined arms operation breaches the initial lines of a defense-in-depth, it has either found a chink in the enemy armor—a corridor through which it may more easily pass—or it has stumbled into a shaping zone with presighted artillery traps. The Ukrainian Ground Forces have penetrated the grey zone to a depth of roughly four miles, creating an impressive salient. At this point, the Ukrainians and the West are measuring success in terms of territory taken while the Russians appear to be fighting an attritional war. It is Jomini versus von Clausewitz.

Advances in territory have to be measure against what military men call burn rates—casualties, losses of vehicles and materiel, and the expenditures of munitions, especially artillery shells. These rates must then be measured against, not only the ground gained, but the capacity of both sides to sustain and replace such losses. Measuring success in terms of territory gained (a Jominian approach to tactics, operations, and strategy) can be misleading, unless such gains signify a game-changing breakthrough or an all out collapse of the enemy lines.

But what is really going on? What is real? Accurate information is difficult to come by and all of these observations are conjectural and based on control maps and other publicly-available online sources. It is in the interest of both sides to lie about casualties. Questions abound: Have the Ukrainians found a genuine weak point in the Russian lines that they are now effectively exploiting? Have they created a breach through which armor and mechanized infantry can now be rammed through with momentum toward objectives deeper into Russian-held territory with a strategic goal of cutting a swath to the Sea of Azov? Did they really avoid the worst of Russian defenses—tank traps, dragon’s teeth, and minefields—by securing a road leading directly into a likely objective? If so, why was this approach not more heavily defended by the Russians? Was it, as Western news outlets are reporting, less guarded so as to allow Russians to pull back quickly, and, if so, was it intended as a Russian escape route, or a means to draw the in the Ukrainians? Time will tell.

These may be real gains—the attackers have gained ground. The Ukrainians may be exploiting a weak point in the Russian defenses, or, given that they have only breached the foremost Russian lines, it could be an artillery trap. After all, why would the Russians allow a weak point along a vector running near a succession of strategic towns, but one that also directs the attackers away from that line? Deception is a first principle of war.

Robotyne is about 18 miles from Tokmak and around 54 miles from Melitopol. The sea is a little beyond Melitopol.