An original poem on some of Zeno’s paradoxes:
Traverse a line? Don’t make me laugh!
Each segment’s segment’s cut in half.
One cannot simply walk the line,
‘cross infinite halves in finite time.
Swooping down from high above
The eagle catches fleeing dove,
Yet swift Achilles, to this day,
Cannot o’ertake his tortoise prey.
We see the arrow fly through air,
But surely there’s no motion there.
The arrow, ne’er before it’s caught,
Moves where it is, nor where it’s not.
In the hippodrome they run their course,
Speeds are measured in length of horse.
Opposing directions they fly past,
Each to the next seems doubly fast.
At the risk of over-explaining, a quick note on the four paradoxes mentioned in the poem:
The first verse deals with a paradox known as the “dichotomy”. This is probably the most well known of Zeno’s paradoxes. For a runner to reach the finish line, he must first reach the midpoint. In order to reach the midpoint, he must first go half way to the midpoint. And so on. As a consequence, before any distance can be traversed, an infinite number of smaller distances must be covered. And to take an infinite number of steps must take an infinite time. Therefore, the runner cannot possibly run even a short distance.
The second verse deals with the paradox of Achilles and the tortoise. It is actually quite similar to the first. Although Achilles is much faster than a tortoise, he can never catch it because in the time that it takes him to reach where the tortoise was, the tortoise will have moved a little further away. Therefore, before Achilles can ever catch up to the tortoise, he must first reach all of the infinite points where the tortoise had already been.
The third verse is the paradox of the arrow. An arrow, just like any other physical body, always takes up a space equal to itself. So at any given instant the arrow cannot move inside that space because the space is exactly the size and shape of the arrow. But it also cannot move outside of that space because it is perfectly contained. Therefore, motion is impossible.
The final verse treats the paradox of the stadium. If two teams of horses, four horses long each, pass each other in opposite directions, an observer will notice that in the time that the lead horse has covered a total distance of two horse-lengths, it will have actually passed all four of the other team’s horses. Therefore the chariot, despite its constant speed, travels two different distances in the same amount of time, which is absurd.
Beer of the week: Cerveza Monterrey – The term “Corona knock-off” gets thrown around a bit, and this isn’t the first beer I’ve reviewed that might merit that description. This extremely pale Guatemalan lager is very carbonated. On its own, it is fairly watery and tastes of corn. The addition of lime and sea salt, however, makes this a reasonably palatable hot-weather drink. With a lot of lime, it is rather refreshing.
Reading for the week: Lives of the Eminent Philosophers by Diogenes Laërtius, Parmenides, Melissus, and Zeno of Elea – Zeno’s own writings are lost to us. However, Diogenes Laërtius (among others) preserved some of his ideas. Diogenes also relates the gruesome details of Zeno’s death, including the part where Zeno bites off the ear (or nose) of a tyrant. To help give context to Zeno’s life, this reading includes the lives of his teacher (and lover?) Parmenides and his contemporary Melissus.
Question for the week: Are the paradoxes mere logic tricks, or do they point to some more profound truth?
“The American of today, in fact, probably enjoys less personal liberty than any other man of Christendom, and even his political liberty is fast succumbing to the new dogma that certain theories of government are virtuous and lawful, and others abhorrent and felonious. Laws limiting the radius of his free activity multiply year by year: It is now practically impossible for him to exhibit anything describable as genuine individuality, either in action or in thought, without running afoul of some harsh and unintelligible penalty. It would surprise no impartial observer if the motto “In God we trust” were one day expunged from the coins of the republic by the Junkers at Washington, and the far more appropriate word, “verboten,” substituted. Nor would it astound any save the most romantic if, at the same time, the goddess of liberty were taken off the silver dollars to make room for a bas-relief of a policeman in a spiked helmet. Moreover, this gradual (and, of late, rapidly progressive) decay of freedom goes almost without challenge; the American has grown so accustomed to the denial of his constitutional rights and to the minute regulation of his conduct by swarms of spies, letter-openers, informers and agents provocateurs that he no longer makes any serious protest.” – The American Credo (1920)
In the nearly 90 years since George Jean Nathan and H. L. Mencken published The American Credo, the country has changed quite considerably. It seems worthwhile to make note of some of the ways that their predictions have turned out:
- “[T]he dogma that certain theories of government are virtuous and lawful, and others abhorrent and felonious” has been a staple of American foreign policy since the book was published. The whole of the Cold War was dedicated to the proposition that American-style “democracy” is morally superior to Soviet-style “communism”. Our latest military adventures have likewise been sold as “spreading democracy” to countries that have “bad” governments. (Even as the United States has actively participated in propping up violent dictators, so long as they were adequately pro-American, if not pro-democratic.)
- It is more true than ever that virtually all actions violate some law or other. Federal laws alone are now so numerous that literally nobody can say how many there actually are. Additionally, many federal regulatory bodies have the power to enact rules and regulations that carry criminal penalties. So while there may be as many as 4,500 federal criminal laws, there may also be as many as 300,000 federal regulations with criminal penalties. Consequently, it remains nearly impossible to do anything “without running afoul of some harsh and unintelligible penalty.”
- “In God we trust” is subject to more or less constant attacks, but so far without any success.
- The goddess of liberty has been removed from our dollar coins. Her first replacement was Dwight Eisenhower, former general and chief executive. Not quite a “policeman in a spiked helmet,” but not too different either. Eisenhower gave way to more peaceful images of Susan B. Anthony and then Sacagawea. Now we are back to the presidents, although the mint now has such an insane supply that they have stopped releasing new presidential dollar coins into circulation. More important than the image on the coins, however, is the fact that in the middle of the 1960’s the United States officially reneged on the promise to pay silver on demand for its notes, paving the way for unprecedented manipulations of the supply of money.
- The “swarms of spies, letter-openers, informants and agents provocateurs” are still at work in this country, but with more power than ever. Whistle-blowers such as Edward Snowden have helped to highlight just how vast and pervasive American government spying is. And, true to Mencken’s observations, the vast majority of Americans do not put up any real protest.
The more things change, so they say, the more they stay the same. But it is hard to believe that even Mencken and Nathan could have been so cynical as to foresee the world as it is today. Surely the constant, and actually accelerating, decay of freedom must have a breaking point. How vast our freedom must have been if we are able to have lost so much.
Beer of the Week: Zlatý Bažant (Golden Pheasant) – Although I have been aware of this Slovakian beer for quite a while, I never tried it until now. When I saw Golden Pheasant for sale in the past, it was always brewed under contract in the Czech Republic. This bottle, however, is the real deal from Hurbanovo, Slovak Republic. The beer is pretty and golden, with a nice white head that leaves decent lacing. It seems very much like any Czech lager, but there is something about it that seems a bit off, particularly in the aftertaste. It really is an ok beer, but there is just something about the Golden Pheasant that I don’t care for.
Reading of the week: The Spy by Svetozár Hurban-Vajanský – Hurbanovo, Slovakia, as it turns out, is named for Jozef Miloslav Hurban, a prominent Slovak freedom-fighter against the oppressive Hungarian regime. His son Svetozár Hurban-Vajanský was a poet and also a prominent Slovak nationalist. So a Hurban-Vajanský poem seems like a good pairing for Golden Pheasant. — The extensive use of spies and secret police against citizens is a sure sign of trouble for all freedom-loving peoples. It has been repeated through history, and the rulers who use those tactics number among the most notorious names in the annals of human society. This poem is a parody of the creation of man from Genesis. The devil forms a body of clay (and spit) and breathes life into it. And the result is not an ordinary man, but something far more evil: a spy.
Question of the week: There is an expression, the origin of which I cannot locate: “agent provocateur is a job so despicable that there is no word for it in the English language.” Do you know who said that? And is the agent provocateur really the worst sort of spy?
What an embarrassment! By my count, this is post #199 on this blog. And yet, there has not been a single weekly reading written by a woman. (I honestly thought that I had included a reading by Baroness Orczy, but it seems that I mixed up The Scarlet Pimpernel and The Prisoner of Zenda.) What can account for such a tremendous oversight? A number of factors probably play a part.
One fairly innocuous factor is that the women authors that I am familiar with wrote novels. It is much harder to find an appropriate reading for this blog from a long form book. Prefaces, essays, and the like are much easier to dip into for an excerpt. However, there are quite a few readings on this blog from novels, so that cannot account for much of the disparity.
Additionally, many of the readings on this blog come from so-called “great books” lists. In particular, the Harvard Classics (partially pictured below) has been the an excellent resource. However, a quick review of the index confirms that the editor of the Harvard Classics totally omitted any female authors. It seems that I’m neither the first nor the most prominent curator of readings to do so.
For similar reasons, my reliance on public domain and ancient works certainly skews this blog away from female authors. The vast majority of older works, particularly from antiquity, are by male authors. Aside from Sappho, I am not sure that I could name an ancient Greek woman, let alone an ancient Greek woman author. Although the balance shifts somewhat as we approach modernity, there are simply a lot more readily available works by men than by women.
But perhaps the biggest reason is my own biases and flaws. I gravitate toward authors with whom I am familiar and with whom I perceive common interests and ideas. And those authors are almost exclusively men. (They are also predominantly American or Western European, but that is another bias for another day.) It is not that I don’t believe that women are capable of producing great works; Jane Austen and George Eliot would have wiped out that belief in me if I’d ever held it. But a combination of my experiences, resources, and my own narrow world view has resulted in a reproachable lack of appreciation for female authors. One that I hope to remedy.
To be clear, the solution is not inclusion for inclusion’s sake. Reading anything simply because it was written by a woman is patronizing. It does a disservice to the author by neglecting her merits in favor of her sex. And it does a disservice to the blog and its readers for the same reason. Our time is valuable, so what we read has to have its own worth independent of its author.
The solution, it seems, is to cast a wider net. To seek out new readings from other resources. Rather than relying on my past experience with authors or on their interactions with each other, I need to find a way to encounter a greater variety of writers of quality. I hope not to overlook any truly great books, regardless of who wrote them.
One valuable resource that I have found (at a thrift store for 69¢ per volume) is the Heath Anthology of American Literature. The Heath has the stated goal of publishing the under-appreciated works of women and minorities alongside the established literary canon to present a broader view of the development of American literature. An unsurprising inclusion in the Heath is Anne Bradstreet, the first New World poet of either sex to have her work published in England. Her poetry is clearly of the finest quality, and more than worth the reading. Bradstreet rightfully scoffed at those who would look down on a work because its author wore a dress:
“I am obnoxious to each carping tongue
Who says my hand a needle better fits.
A Poet’s Pen all scorn I should thus wrong,
For such despite they cast on female wits.”
Writing, too, is women’s work. And a woman’s work is never done.
Beer of the week: Dundee India Pale Ale – This New York IPA is pretty amber. The smell is of sweet biscuits and marshmallow. The malt is definitely dominant in the flavor. The beer is hoppy, but it is not overly bitter, and certainly not as strongly hopped as many American IPAs. Dundee makes quite a serviceable beer.
Reading for the week: In Reference to Her Children, 23 June 1659 by Anne Bradstreet – What could be a better reading for Mother’s Day Weekend than this touching poem about a mother’s dedication to her children? Bradstreet does well to portray the pride and joy of motherhood, as well as the bittersweet experience of watching her children grow up and start their own independent lives.
Question for the week: Who are other female authors that would be good readings for this blog? Comment below.
In his Shah Nameh (The Book of Kings), the great Persian poet Ferdowsi starts the tragedy of the mighty paladin Rustem and his son Sohráb with a warning against reveling in youth:
“O ye, who dwell in Youth’s inviting bowers,
Waste not, in useless joy, your fleeting hours,
But rather let the tears of sorrow roll,
And sad reflection fill the conscious soul.
For many a jocund spring has passed away,
And many a flower has blossomed, to decay;
And human life, still hastening to a close,
Finds in the worthless dust its last repose.”
This sentiment is reminiscent of several of Shakespeare’s sonnets. It seems that Shakespeare often went on about the end of youth and the ravages of time. Sonnet #12 comes to mind, where Shakespeare writes:
“Then of thy beauty do I question make,
That thou among the wastes of time must go,
Since sweets and beauties do themselves forsake
And die as fast as they see others grow;”
Although it is important to confront our mortality it is equally important to carry on with the business of living. Ferdowsi says “Waste not, in useless joy, your fleeting hours.” But can that be serious advice? Is joy ever truly useless? And if joy is occasionally useless, isn’t youth the most appropriate time for such useless joy? It seems likely that “tears of sorrow” and “sad reflection” are much more useless than joy, especially if we are quickly returning to “worthless dust.” There is time enough for sadness when we are dying or dead; joy in our youth ought to be encouraged.
Beer of the week: Berghoff Sir Dunkle – This is a Munich-style dark lager that pours a deep red-brown. The aroma is of dark, ripe fruit. The flavor is mostly dark bread, with a surprisingly full body for a lager. Overall, a very good beer.
Reading of the week: Shah Nameh by Ferdowsi – At the end of Sonnet #12 Shakespeare suggests procreation as a remedy against mortality. But for Ferdowsi, even procreation is futile in the grand scheme. Of course, that might have something to do with the subject matter of the story he is telling. This reading is the beginning of a a tragic tale in which a man unwittingly kills his own son.
Question of the week: How can one strike the proper balance between joy and sad reflection?
So much of comedy is context. Things are often especially funny when they are incongruous with the background. For example, the behavior of the Blues Brothers in a fancy restaurant is much funnier because their vulgarity is especially out of place in a formal setting.
But in many ways not just the setting but also the history and cultural background is needed to “get” a joke. For example, when Aristophanes makes a joke about Cleonymus throwing away his shield, we have to know that shield throwing is shorthand for cowardice, and that Cleonymus had a reputation along those lines. Not knowing who that person is or what it means to throw down a shield, such a joke just can’t land.
Or to get a joke about Hercules at the dinner table one must know that the demigod’s insatiable appetite was something of a cliché in Aristophanes’ time.
Obviously, these are not great examples. A modern person who has never held a sword may still understand the implications of throwing down one’s shield. And even if Hercules is not a regular character in our comedic repertoire these days, gluttony is still readily understandable. But I am at a disadvantage in picking my examples; the best of them go right over my own head.
As a result of this need for background information, much ancient (or otherwise culturally remote) comedy is quite inaccessible. Certain people, customs, or places that form the butt of jokes might not be known, so the joke must fall flat.
Aristophanes is often accessible. In The Clouds, for example, a lizard defecates onto Socrates’s face. Classic. However, at other times, I just feel like I am not in on the joke. He lampoons people that I’ve never heard of, and makes all manner of social comments that are simply beyond me.
Beer of the week: Pacifico Clara – This is yet another bland Mexican lager. There is not much else to say about it. It is a little sweet and a lot bland. Pacifico is not bad, but there is just not much to it.
Reading for the week: The Wasps by Aristophanes, Lines 986-1121 – In this part of the play, Aristophanes (through the chorus) lets us know that there is much more at stake than getting his jokes. He believes that there are bigger, more important things going on in his satire than getting laughs.
Question for the week: What about comedy is truly universal?
“The most certain of all basic principles is that contradictory propositions are not true simultaneously.”
That is just one expression of the law of noncontradiction. It can be put in a number of ways, but it always comes down to saying that mutually exclusive conditions cannot coexist.
This raises the first classic St. Patrick’s Day problem (the second classic St. Patrick’s Day problem is alcoholism): what is to be made of the Trinity? The trinitarian notion of God is that God is three persons in one being. The Father begot the Son, and the Holy Ghost proceeds from the two of them. Yet, the three are eternal and exist as a single God. This sure looks like a violation of the law of noncontradiction: nothing can be both one and many. Additionally, one cannot be primary and coextensive. That is, one thing cannot both precede another and be coeternal with it.
St. Patrick attempted to explain the mystery with a sprig of clover, known as a shamrock. A sprig of clover, Patrick observed, has three leaves that are all connected. Each leaf is independent and identifiable, yet they form a single shamrock. So the shamrock is both three and one. Just like the Trinity.
The shamrock example, however, is not very convincing. The leaves of the clover are separate and divisible from each other, and no one leaf is the whole clover itself. In effect, each leaf is just one part of the whole. And the mystery of the Trinity is not that simple (hence the term “mystery”.) The Father, Son, and Holy Ghost are each believed both totally independent and totally united. An inescapable violation of the law of noncontradiction.
Dante’s attempt at a visual depiction of the Trinity seems more appropriate than the shamrock. Rather than describing the three persons as simple thirds of the single being that is God, Dante describes God as “three circles, Of threefold colour and of one dimension.” Each circle is simultaneously the same circle and distinguishable. He then goes on to state that “all speech is feeble and falls short” of describing the Trinity.
I dare say that he is right.
Beer of the Week: Primátor Stout – Guinness (both original and draught) has already been featured on this blog. So this St. Patrick’s Day beer is a stout from another part of Europe altogether. This Czech beer pours a very, very dark brown and has a head of large, tan bubbles. The mouthfeel of this surprisingly thin. As it warms, though, this beer really shows its rich malt flavor. Not bad at all.
Reading for the week: Paradiso, Canto XXXIII by Dante Alighieri – After a journey through hell and purgatory, the pilgrim Dante makes it to and through heaven to see the very face (or circles) of God. Not included in this reading is the 4th Sphere of Heaven, where the pilgrim Dante see Boethius. In a recent post on this blog, it was noted that Boethius was put to death by the order of King Theodoric the Great. Theodoric, as it turns out, was not a Trinitarian. He was a follower of Arianism, a heterodox view that Jesus, as “begotten God”, is not co-eternal with God the Father and the Holy Ghost.
Question for the week: Paradiso ends with the the pilgrim Dante’s “desire and will” being acted upon by “The Love which moves the sun and the other stars.” I take that “Love” with a capital “L” to be God Himself. Is it better, or merely oversimplifying to think of God as Love itself rather than as a Trinity?