The Scholars Online Moodle environment is being upgraded during the period between August 19-August 24 and may be unavailable for several hours at a time during this period. The Scholars Online home page, account management centers may also be offline briefly during system reboots to install security patches. We plan to be online and stable as of Monday morning, August 25. There will be a period of transition while we work out the new theme, so the appearance may change. We thank you for your patience during this period!
Enrollment and Registration Deadlines
It’s hard to believe that it is already August. Open enrollment for academic year courses continues through August 22, and full tuition and fees are due by August 29. This applies even if you are using the installment option, unless you make arrangements with the accounts manager. While we may accept enrollments and payments after that date for some courses (pending teacher approval), any delays in processing account information could prevent students from being admitted to chat sessions—so please complete registration and enrollment as soon as possible!
Each new student with a paid membership will notification of his or her temporary password at the student’s registered email address. Please make sure that these notices are not being filtered to junk mail!
The Scholars Online Board of Directors allocates part of our annual budget to our scholarship fund, as well as all income from our bookstore affiliation with Amazon.com. Families may be awarded waivers up to 50% of tuition for demonstrated need, including job loss, medical expenses, or other family emergencies.
Scholarships are granted on a case-by-case basis for tuition assistance when students would otherwise be unable to take courses due to job loss, medical expenses, or other family emergencies. Contact email@example.com as soon as possible if you wish information about applying for scholarships for our 2014-2015 courses. Some scholarship funds for this year have already been allocated. Final decisions on remaining scholarship distributions will be made August 15. Please consider your request prayerfully; our resources are limited and once distributed, are not available for other families.
Direct contributions to our scholarship fund are tax-exempt, as Scholars Online is a 501c(3) organization. To make a donation by check or online, see our Scholarship page. You may also donate by making purchases from Amazon.com through the Scholars Online Bookstore site or by designated Scholars Online as your charity of choice at http://smile.amazon.com.
We will be installing and testing a long-delayed upgrade to the Moodle software starting August 11. Although we will attempt to limit outages to evenings after 6pm PDT or weekends, access may be restricted at other times as well. Students submitting over-the-summer examinations or lab work may need to adjust their schedules to complete all assigned work by their course deadlines.
Students and families who are not returning to Scholars Online for the fall will lose access to the Moodle on August 31. If you need to download assignments or scores for your records, please do so prior to that date. Families will continue to have access to transcripts and invoice records through the Account Management Centers.
We’ve had a number of inquiries about our AP programs at Scholars Online.
While we endeavor to help our students gain recognition for their work through the AP program where appropriate, we have focussed on creating a curriculum that meets our primary mission: to provide a rigorous classical Christian education for our students. There are cases where our mission and the AP program are at odds.
To use the term “AP Course” and offer AP credit requires approval of the course syllabus by the College Board review team. In some cases, Scholars Online teachers have elected to create and submit a course syllabus for review (a lengthy process, for which the teacher does not receive remuneration, and one which has to be repeated every 2-3 years at the whim of the College Board). Three of our science courses have received official approval in the past to grant AP credit on school transcripts, providing students complete all required lab work. Students must still take the AP exam for exam credit; some elect to do so and others do not.
For some of our other courses, the teachers have determined that the College Board requirements for the delivery of material are in fact not in the best interests of students following a classical Christian education curriculum with its emphasis on close analysis and critical thinking. While these courses meet and exceed requirements to cover specific material and topics in preparation for the AP and SAT subject exams (and our students do very well on these exams), we cannot grant official AP credit for these courses. Again, students must take the AP exam for exam credit.
Even when students have AP courses on their transcript, or score well on the AP exams, individual colleges and universities differ widely in how they use AP credit and AP exam results for admission or course credit, and that there is a growing controversy over the usefulness of the College Board testing program. If you are a parent of students who will not be attending college for several years yet, you should be aware that the entire AP/SAT/CLEP/ACT exam system is changing, and this may affect your choice of courses and how you validate your students’ work.
In the list below, links to the entire SO sequence are given, so that you may see how each individual course fits into the overall Scholars Online curriculum.
Official AP courses at Scholars Online [Scholars Online Science Sequence]
- AP Biology (current AP syllabus approved 2013)
- AP Chemistry (past AP syllabus approved 2009; new syllabus under review for 2014-2015 academic year)
- AP Physics (past AP syllabus approved 2010; new syllabus under review for 2014-2015 academic year)
Courses at Scholars Online meeting or exceeding preparation requirements for subject AP Exam
- World History (two year program should prepare student for the AP exam) [Scholars Online History Sequence]
- Latin IV (Caesar and Vergil AP curriculum as specified) [Scholars Online Latin Sequence]
- Senior English (exceeds AP curriculum reading and writing programs) [Scholars Online Literature Sequence]
- Calculus (exceeds AP curriculum in presenting both materials and methodologies) [Scholars Online Mathematics Sequence]
As always, parents should consult with our independent curriculum advisor, Mrs. LaJuana Decker, with any questions on whether our courses are appropriate for their students. She may be reached at firstname.lastname@example.org.
[This was originally posted as part of the Scholars Online website, and it remains there among the "White Papers", but I thought that putting it out on the blog would give it a little more exposure.]
Over my years as a teacher, I have had parents and students challenge me on my choice of literature on the grounds that some of it was not morally suitable. Among the works that have fallen under their scrutiny are the Iliad (for violence), the Oedipus Rex of Sophocles (patricide, incest), the Volsunga Saga (murder, incest), the plays of Shakespeare (murder, bawdry, violence, drunkenness, adultery, lying, theft, treason…the list is nearly endless), and Frankenstein and “The Importance of Being Earnest” (their authors’ lifestyles). Teaching the various pagan myths, furthermore, has been variously condemned on the ground that they presume false gods. Even some students who have come looking specifically for classical education have not been able to refrain from ridiculing the Greeks for their beliefs.
Most of these people have good intentions. The behavior to which they are objecting is usually indeed objectionable. We should not practice murder or incest or adultery; we should not steal to become wealthier, or kill others to enhance our personal glory; we should not embrace any of the thousand human vices that are detailed almost any selection of literature one could pick. We should not be moved by admiration for a work to emulate its author’s bad behavior, either. And I would certainly affirm that the gods of Olympus and Valhalla are fictions, and that any inclination to worship them ourselves ought to be suppressed. So why should we concern ourselves with literature that includes them—and if we do, how should we approach them? It’s a good question, requiring a serious answer.
The case that observation elicits emulation has been made for generations, and there is something to be said for it. One is unlikely to be drawn to a sin one has never heard of. An adult charged with the care and education of children must bear this in mind. One oughtn’t expose an unprepared mind to even literary descriptions of some human activity, any more than one hands a six-year-old the keys to the car.
The countervailing argument is that some familiarity with the harsh reality of the world is necessary: children need to recognize evil to reject it. After all, we live inescapably in a sinful world, and are ourselves part of it. Our tendency to sin will not be eliminated by cultivating ignorance. We may not have heard of one sin, but we can almost certainly make up the lack in some other way out of our own flawed natures. In addition to exposing us to bad things, good literature can help teach us to recognize evil and avert it.
So these two excellent arguments stand perpetually at odds. It’s nothing new: the question rages in Plato’s Republic, and it’s still part of our public discourse relating to censorship. Unsurprisingly, Plato, who believes in the moral perfectibility of man, prefers censorship; today’s libertarian tends toward the other extreme, in a fond belief that market forces will achieve something optimized not only for economic equilibrium but moral balance. A Christian cognizant of our fallen nature, though, can accept neither extreme. The trick seems to be in ascertaining exactly where to place the boundary at any given time.
That is of course not obvious, nor is it even really clear that there is a fixed line so much as a murky zone in the middle somewhere, to be navigated with a queasy caution. It is hard to decide what ought to be read and what ought to be suppressed without relying on some kind of calculus—whether simple or elaborate—of a work’s infractions. The problem is that an incident-count is usually going to miss the point. One can promote a thoroughly repugnant ethic without resorting to obscenity or violence. It is also possible to show the light of redemption shining through the nastiest human experiences.
The shallow scoring methodology often used to define movies or books as unsuitable because of their quantities of inappropriate behavior will also erode the Scriptures. The Old Testament objectively recounts almost every known form of sin. The Gospels are not much better on that computation: they’re full of hypocrites and adulterers and sinners of every other sort, and the narrative comes to a wholly unwarranted execution by crucifixion. Can we allow our children to read such things?
And yet—dare we allow our children not to read such things? Are we are saved by the overwhelming niceness of God, or by this horrific and bloody sacrifice once offered? Weren’t the Children of Israel freed in a sequence of increasingly grisly plagues upon their Egyptian oppressors? Don’t we need to take these stories into ourselves and make them ours? We aren’t coaxed into the Kingdom of God as into a four-star hotel, by its elegant appointments and superior service—we’re driven, battered, and corralled, lifted up out of the mire of our own making because that’s finally the only place we can turn where we don’t see our own destruction. So sooner or later we must allow our children to encounter some unpleasant material. It seems to me better that they should encounter at least some of it in literature rather than in person.
Still, as responsible parents trying to raise children in the nurture of the Lord, we have to wrestle with the boundaries of where and when, and even after that we’re going to have to determine how to approach it in substance. It’s never going to be easy, safe, or comfortable. We’re going to make mistakes. We’re going to give our children some things they’re not ready for. It will hurt them. We’re going to protect them from things they really should have known. That will hurt them too.
We can lament this, but we cannot avoid it. There’s no easy answer. People who rely on simplistic formulae will achieve commensurately simplistic solutions. I know some families, for example, that simply rely on movie ratings for their film standards. PG-13 is okay; R is not. The problem is that it doesn’t work. There are some profoundly moving and powerful movies—important ones—that are rated R. There are also some vile ones that skate by with a PG or even a G rating—perhaps not those promoting ostentatious sexuality, extreme physical violence, or drug abuse, but some that plant corrupting seeds in the soul all the same (and there are sins other than sins of sex, violence, and substance abuse). The complexity of our experience cannot be reduced to a simple tally.
My thinking on this issue has been transformed by a number of things over the last decade, but by nothing as much as C. S. Lewis’s An Experiment in Criticism. I recommend it to everyone concerned with the complex balance of both what and how we read. What I’m going to propose here has to do with drawing what Lewis says to the critical community at large at least partway under the umbrella of specifically Christian thought. (While Lewis was of course a noted Christian apologist, this particular work was written for the scholarly community, and tends not to take an openly theological approach, though I think it is informed at a deeper level by his faith.) For the most part my own thinking is motivated by an awareness that when you read something, you are not just taking words into your eyes and mind: you are actually encountering, at some level, the person who wrote it.
This is a brash claim, and I’ll be the first to admit that it’s a limited sort of encounter. We don’t know what Homer looked like, or whether there were two of him, or whether one or both of him were blind or female or slaves. There are a lot of facts we don’t know—facts we would know if we were sitting down with him (or her, or them) at dinner. We don’t know, either, whether Shakespeare the writer was Shakespeare the actor or someone else entirely. And even where we have a fair amount of reliable biographical data, we still don’t know a good deal about most authors. A lot slips through the cracks.
But how is that different from any other human encounter? There are a lot of things I don’t know about the fellow I meet on the street. And yet (assuming he doesn’t approach me with obvious hostile intent) I try to give such a person a reception in Christian charity—a fair hearing, genuinely trying to understand what he has to say to me. Our Lord tells us, “For as much as you have done to one of the least of these, you have done also to me.”
There are a lot of things, for that matter, that I don’t know or understand even about those people who are closest to me. There are parts of my wife’s personality that I am only now discovering after nearly thirty years of marriage. There are parts I’m still pretty puzzled about. Maybe I’ll get them figured out eventually, but I’m not wagering on it. This is heady stuff, and should keep us humble and aware of the profound gravity (Lewis called it the weight of glory) that inheres in every single human interaction we have.
Is it reasonable to suggest that we approach reading that way too? I think it’s a thought-experiment worth trying. When we pick up a book, we are privileged to make—on some level—the author’s acquaintance. At the most basic level, we encounter persons when we read. And that imposes on us a moral obligation to listen—listen hard, sincerely, and attempt to understand what they’re trying to tell us.
Note that there are a number of things we have no obligation to do. We’re not obliged to believe everything they say—merely to hear it, and to strive to understand them. We have—and should have—own beliefs, and others (whether we meet them on the street or through books) have no presumptive claim upon those beliefs, unless they manage to persuade us by honest argument.
At the same time, I don’t think we need to feel obliged to judge everything they say, or to condemn them for crossing this or that line. This seems to be a favorite academic pastime, and a favorite pastime too among a lot of other groups. We live in a society ruled by the iconic thumbs-up or thumbs-down. Things are apparently either to be embraced or dismissed, with no intermediate gradations of evaluation or analysis. Many watchdog groups pronounce a movie worthy or unworthy of my attention, based on whether they agree with what they think it’s propounding. Few from any part of the political or religious spectrum suggest that I sift the work’s content for myself. It’s either one way or the other.
Do we deal with people that way? Some, I suppose, do—but that’s not what Our Lord has told us to do. We believe—at least those of us who believe that God loves us all, sinners as we all are—that we need to receive not only those with whom we agree, but also those with whom we do not. We don’t receive them for the rightness of their opinions, but because of our shared humanity. We don’t give them a cup of water in Jesus’ name because of their own righteousness (or even because of ours) but because of His. And when we do so, if we have the humility for it, we can see a partial image of God in each of them, too: again, not because they are right but because they are His— even if they don’t know it.
That’s why I can read Homer and receive the raw humanity of his tale, expressed in selfish, generous, sinful, driven, glorious—and contradictory—people. I don’t have to approve of Hamlet and his decisions (many of which are repellent, I think) to find a window on some very serious truths about human nature. We can have a literary sympathy for him without approving his deeds. I don’t have to approve of Mary Shelley’s behavior to recognize that she has some important and serious things to tell me about our capacity to create and to betray. I don’t have to approve of Oscar Wilde’s lifestyle to appreciate some of his scathingly funny (and often correct) pieces of human insight.
I am not eager to found another school of literary criticism, but I cannot find in any of the currently dominant ones the slightest note of the moral burden I think we inherit as readers. I would like at least to advance the notion that there is—less as a school of critical practice, and more as a disposition of the heart—a Christian way of reading. I would like to suggest that as a paradigm for such Christian reading, we take an approach that may seem simplistic to some, daring to others; but I think it will exercise our moral capacity and force us back where we belong, humbled, upon the all-sufficient love of Christ.
If we as Christians were to read with a fundamental charity toward the author, we would achieve something of a revolution in critical thought, at least within the Church. No, the world will not listen, most likely; it seldom does. It will have its own combinations of pettiness and loftiness, and it will come to its own mix of profound and vapid perceptions. And we may not do a lot better, in terms of critical output. But we are under no obligation to be successful: we are obliged to do what is right, irrespective of its success or failure.
Herewith I present a handful of what seem to me to be the chief implications of that principle:
• We must make a good-faith effort to learn what the author was trying to say.
The so-called New Criticism of the 1950s laid it down as axiomatic that authorial intention was more or less beyond recovery, and that the text itself should be scrutinized on absolute terms as a work entirely unto itself. There is of course a profound truth behind what they claimed. We can never wholly or perfectly know the mind of another. In fact, the likelihood is high we will from time to time make some rather serious errors.
But it does not make matters better to combine a profound insight with an oversight, even more profound. What the New Critics seem to have missed is the fact that, if there is no authorial intention at stake, there is really no point to reading at all: if there is no context, neither is there, in any meaningful sense, a text. The purpose of writing in the first place is lost, for an author is almost never merely weaving words into an abstract object for his own amusement: he is attempting to communicate with readers, whoever they may be. If we respect that intention and respond in charity, we have to take this seriously.
• We will never completely discover that intention.
As I said above, our understanding will be imperfect. This chafes some, especially those who require pure theory. I’ve come to expect it. Reality is messy and confusing. Now we see as through a glass darkly: if we can only see God imperfectly (whose intention, at least, is perfect, and whose capacity for self-expression issued in the Logos of all creation) then surely our understanding of our fellow man will be no better. That’s unfortunate, but for now, it’s what we have, so we’d better make the best of it. We can hope that we will in the next life be united not only with God, but also with the rest of God’s creation, in a more perfect understanding.
• Not everything in a work can be encompassed by the author’s intention.
Sometimes we will perceive something valuable in the text without being sure whether the author intended it or not. There are passages in the Psalms where the Hebrew word is simply unknown to us. There are passages in Shakespeare where the words seem clear, but the thought that knits them together is impenetrable. There are places in poetry and prose alike where words take on a complex of meanings, and we cannot be entirely sure of whether the author really meant all those meanings or just one. This is where the New Criticism got it right. In the overall richness of literary production, connections emerge either from the subconsciousness of the author, where murky things reside beyond the scrutiny of pure intention, or else they emerge from the innate coherence of the material itself: the author has touched a truth perhaps unwittingly, but the truth of the universe resonates with it. This is part of the literary experience, too, and it would be churlish to reject it. Christian readers, I think, can take it as a sign of the grace of God operating in and on our small creative efforts, validating them, fructifying them, and turning them to a higher purpose. I’m not sure how others take it, but that’s not my present concern.
• The whole intention of a work will be greater than the sum of its parts.
We cannot evaluate a work solely by regarding the incidents of its narrative. There may be reasons to proscribe certain works because of such things, or to ban them from schools, but this is a pragmatic tactical judgment—not a real evaluation. Put somewhat more pointedly, the mere presence of a sin in a story, no matter how appalling it is, does not make the story immoral. Yes, there are stories that we can call immoral, insofar as they seem to conduce to immoral practices on the part of those who read and believe them, or (at a deeper level) because they present a lie as a truth. But most stories—and all good ones—have to account for the reality of human sin. Dramatically presenting sinful behavior in a story is not ipso facto an endorsement of the sin. A story that presumes a sinless or perfectible humanity is, in the long run, immeasurably more dangerous.
• We haven’t entered into the reading process primarily to judge.
I know, the term “judge” is tossed around rather sloppily both inside the Church and at its periphery, and indignant secularists with a somewhat deficient sense of irony routinely condemn Christians for being judgmental. What I’m saying here is merely this: just as we don’t talk to people in order to tally up the conversation’s share of virtue, the goal of the process of reading is not primarily evaluative either. The goal of reading is the meeting of minds itself. That imperfect meeting, across the gaps of time, space, world-view, and personality is not a side benefit of reading; it’s what reading is about. It’s another instance of human interaction—which seems to be a large part of what God put us here for—and it should be conducted with full regard for what Lewis called the weight of glory. I don’t need to pronounce on the ultimate state of Homer’s soul (God surely doesn’t need my help to sort that out); I don’t even need to come up with a value to assign to his work. I could not possibly do so anyway. I do need to love Homer—not because of his artistic virtuosity, or even because of his own intrinsic worth as a person, but because God loved him first and loves him still.
• To recognize and embrace a truth is infinitely more rewarding than rejecting something.
When we have moved away from the position of judging, we also allow all those people—imperfect as they are—to mediate God’s love and God’s presence to us, and in that very act we can turn around some of the perceived deficiencies in these works, and make of them powerful lenses. When Achilles, a proud killing machine, and yet also a deeply sensitive representative of his culture—poetic, cruel, brilliant, and vengeful—extends mercy to Priam at last, he offers not only the mercy of Achilles, but an image of the mercy of God. Does Achilles know that? No. Does Homer know it? No. Does it matter that they don’t know it? No. It’s powerful because it comes unexpectedly, like lightning from a clear sky. What we experience there is not pure alienation and bewilderment: the great shock here at the end of the ordeal of the Iliad is the shock of recognition—like climbing Everest and finding there, waiting for you, an old friend. The part of our souls that responds to the love of Christ, mirrored among our fellow churchmen on Sunday morning, should be able to recognize it, even in glimmers half-understood, in the far reaches of time and space. The incongruity of the context can endow it with a peculiar power: a bright light shines with equal intensity by day or night, but it’s by night that we see it best.
• Humility is never out of place.
The words that come most painfully to most academics are, “I don’t know.” Scarcely less shameful than not knowing something is not having an opinion on it. Being willing to admit that we don’t know something, and withholding the formation of an opinion until we do, though, can be hugely liberating. It leaves us open to perceive without bias. And if it entails an admission that we aren’t infinitely wise, so much the better. We all need to be reminded of that.
• It’s easier to miss something that’s there than mistakenly to see something that isn’t.
Accordingly we should remain open to the possibility—indeed, the virtual certainty—that we’ve missed something. This is one of the reasons one can keep coming back to the same literature; it has the happy result that as one grows older, one can find valuable new things in what we might previously have discarded.
It’s akin to the unicorn problem. It’s easy to demonstrate the existence of people or dogs—one need just point one out. It’s nearly impossible to prove that unicorns don’t exist, though, unless they are logically self-contradictory. After conducting a painstaking search, we can say with some assurance that there are no unicorns here—but that doesn’t mean that they aren’t lurking just beyond our sight. In the same way, it’s virtually impossible to show that a work lacks real literary value. I’m not sure why anyone feels called upon to try, and why some seem so eager to dismiss as many things as possible. As ever, the dismissal on this level is tantamount to a dismissal of the person behind the work. Dare we, on peril of our own souls, to do that?
When a work doesn’t speak to me, really the worst thing I can honestly say about it is that it doesn’t speak to me. That’s a statement that’s as much about me as about it. I have too often had the humbling experience, though, of returning to works—sometimes after several readings—and discovering in them something I had missed before. It was many years and a dozen readings or more before Hamlet really started to make sense to me. I don’t think Hamlet really improved or altered in the interim.
Do note that this is different from perceiving a positive literary or moral fault in a work. Of the two, the literary fault is just a failure of workmanship; the moral fault is more problematic and probably more important. I think one can say that a work of literature is to be approached with caution or avoided altogether if its whole program is positively pernicious. But this is properly the domain of moral philosophy, and not in and of itself a literary judgment. Of course a literary scholar is also a moral agent, and this is not a concern that can be ruled out of bounds; nor in many cases are moral and artistic faults completely separable. I think it is always possible, too, that a work that is apparently advocating something we don’t approve of will, upon recognition of its artistic virtues, turn out not to have been saying that all along—but that is a complex and troubling line of inquiry too big for the present context.
• Ridicule is not helpful to the enterprise.
Ridicule does not ennoble the one ridiculing; it does not benefit the one ridiculed; it does not helpfully inform the third party. It virtually never promotes real understanding; it seldom makes a significant distinction; it is, accordingly, at best pointless, at worst cruel, and most often (even when the object of ridicule is dead and gone, and beyond apparent harm) it sets a low example of callous disregard and uncharity, a pattern of not hearing and not receiving another genuinely. There is room for satire in the world, but it’s the form of literature most perilous for its practitioner: it needs to be conducted with an eye on the higher goal of lifting someone or something up, not merely tearing people down.
• All truth is God’s truth.
If something is not true in and of itself, no amount of pious dressing will make it true. Conversely, if it is true, it needs no further raison d’être. We don’t need to apologize for every and any truth, or make it a platform for apologetics or pious polemics. Apologetics have their place, and I applaud and appreciate them: but truth, insofar as anything is true in itself, needs no further justification. The attempt to frame everything up as a case for Jesus, or to endow every story with a moral, or to force on every historical essay an evaluative pronouncement upon a culture, does not work to the glory of God. It instead tends to give the impression that truth is only worth heeding if we can somehow cash it in for platitudes, and tie it to an overtly theological point. Such a timorous view of the truth confounds the fear of the Lord: it’s fear for the Lord, and argues a fragile faith that cannot endure to look at the beauty of truth for what it is, and know that it is God’s.
And in a sense, I think, such people deprive themselves of a view of God in the very act of trying to keep their perspectives pure. For while I am very far from being a pantheist, I think (as Paul suggests in the first chapter of Romans) that the Lord has in fact hidden himself—or perhaps we might say, metaphorically, that he has left his fingerprints, to be discovered, as a channel of revelation and delight for us—throughout the weird and wonderful diversity of creation, with the divinely ironic result that even those who deny Him can convey to us an image of Him in spite of themselves.
I would make them all learn English: and then I would let the clever ones learn Latin as an honour, and Greek as a treat.
— Winston Churchill (somewhat out of context).
A few years ago I wrote an entry on this blog entitled “Why Study Latin?” It was a distillation of my own thoughts about the actual benefits of learning Latin — and the benefits one ought legitimately to expect from doing so. I tried to distinguish the real benefits from other phantom benefits that might not be, in and of themselves, fully valid reasons for undertaking the study. Not everyone agreed, but in general I stand by what I said there. From my point of view, the chief reason to learn Latin is to be able to read Latin; a significant second is to gain that unique way of looking at the world that attends that ability. One has access to a number of great works of Latin literature in their original forms, therefore, and one has also an enhanced ability to think in Latinate terms.
Of course other collateral benefits might reasonably accrue, but they are neither absolutely guaranteed to the student of Latin, nor are they benefits that attend Latin study exclusively. Dr. Karl Maurer of the University of Dallas suggested that I didn’t sufficiently credit the advantages a trained Latinist would have in reading older English — and he’s definitely right that this kind of textural depth of English poetry and prose will probably elude anyone who isn’t familiar with Latin, and the way Latin education was a cornerstone of English education from about 1500 to at least 1900. I certainly don’t disagree with his claims there; I don’t think they rank as matters of linguistics as much as matters of literary development and style. They’re still not trivial, however.
Be that as it may, for a variety of reasons, some of them right and some of them wrong, learning Latin has its champions, and I hope it gains a lot more. While I don’t agree with all the reasons one might advance for Latin study, I will enthusiastically concur that it’s a terrific thing to learn and to know.
Far fewer, however, champion learning Greek so loudly. For a variety of reasons, Greek is seen as far less significant. Some of those reasons are sound: Greek does not directly stand behind a broad range of modern Western European languages the way Latin does. Many of our ideas of statecraft and polity come from Greece, but most of them came through Latin in the process. Other reasons people shy away from Greek are fairly trivial. It has an odd-looking alphabet. Its literature seems to depend on a lot of odder assumptions. Realistic, though rather defeatist, is the fact that, in general, Greek is just considered tougher to learn. Many mainstream churches no longer even require their clergy to be able to read Greek (which seems preposterous to me, but that’s another matter).
For whatever reasons, Greek is certainly studied far less at the high school level than it once was. I read a statistic a few years ago suggesting that maybe a thousand students were actually studying ancient Greek in modern American high schools at any one time. The numbers may be as high as two thousand, but surely no higher than that. I don’t know whether those numbers have risen or fallen since I read it, but I certainly see no evidence that they have skyrocketed. I do occasionally run into a Latin teacher at the American Classical League Summer Institutes who teaches some Greek, but it’s most often a sideline, and often a completely optional “extra” for before or after school. Most of those students are being exposed to the Greek alphabet and some vocabulary, but fairly few of them are receiving a rigorous exposure to the grammar of Greek as a whole. If one narrows that to those who have studied real Classical Greek, as opposed to New Testament Greek, the numbers are probably smaller still.
For me most of the reasons for learning to read Greek are similar to those for reading Latin. The chief benefit, I would still insist, is to be able to read Greek literature in its original terms. Lucie Buisson wrote an eloquent defense of Homer in Greek not long ago in this blog. You cannot acquire a perspective on the Homeric poems like Lucie’s without reading them in Greek. It’s a huge deal: something snaps into view in a way that just cannot be explained to someone who hasn’t experienced it. No translation, no matter how good, can capture it for you. Though Keats memorably thanked Chapman for something like this eye-opening experience, the fact remains that Keats didn’t have the real thing as a comparandum. Chapman’s Homer is terrific — but Homer’s Homer is better.
Beyond the immediate experience of the literary objects themselves there is the fact that Greek provides its students with what I can only (metaphorically) call another set of eyes — that is, a different way of seeing the world, with different categories of thought that run deeper than mere changes in vocabulary. Virtually any new language one learns will provide that kind of new perspective: French, Spanish, or German will do so; Latin certainly does. I would suggest that Greek provides a uniquely valuable set precisely because it is further removed from English in its basic terms.
A reasonable command of multiple languages gives us what might be likened to stereoscopic vision. One eye, or one point of view, may be able to see a great deal — but it’s still limited because it’s looking from one position. A second eye, set some distance from the first, may allow us to see a somewhat enlarged field of view, but its real benefit is that it allows us, by the uncannily accurate trigonometric processor resident in our brains, to apprehend things in three dimensions. Images that are flat to one eye achieve depth with two, and we perceive their solidity as we never could do otherwise. Something similar goes on with an array of telescope dishes spread out over a distance on the earth — they allow, by exploiting even relatively slight amount of parallax in cosmic terms, an enhanced apprehension of depth in space. (Yes, there are also some other advantages having to do with resolution — all analogies have their limits.)
I would argue that every new language one learns will thus provide another point of view, enhancing and enriching, by a kind of analogical stereoscopy, a deeper and more penetrating view of the world. And like the more widely spaced eyes, or the telescopes strung out in a very large array, the further apart they are, the more powerfully their “parallax” (to speak purely analogically) will work upon us. This, I would argue, is one of the chief reasons for learning Greek. In some of its most fundamental assumptions, Greek is more sharply distinct from English than is Latin. A few examples will have to suffice.
Greek, for example, invites us to think about time differently. Greek verb tenses are not as much about absolute time as English verb tenses are; they are more about what linguists call aspect (or aspect of action in older writings). That is, they have more to do with the shape of an action — not its intrinsic shape, but how we’re talking about it — than merely locating it in the past, present, or future. Greek has a tense — the aorist — that English and Latin are missing. The aorist is used in the indicative mood to denote simple action in the past, but in other moods to express other encapsulation of simple verb action. Greek aorist verbs in the indicative will certainly locate events in the temporal continuum, and certainly English also has ways to express aspect — things such as the progressive or emphatic verb forms: e.g., “I run” vs. “I am running” or “I do run”. But whereas the English verb is chiefly centered in the idea of when something happened or is happening or will happen, with aspect being somewhat secondary, in Greek it’s the other way around. What exactly that does to the way Greek speakers and thinkers see the world is probably impossible to nail down exactly — but it’s not trivial.
Attic and earlier Greek has a whole mood of the verb that isn’t present in English or Latin — the optative. Students of New Testament Greek won’t see this on its own as a rule. There are a few examples such as Paul’s repeated μὴ γένοιτο in Romans (sometimes translated as “by no means”, but intrinsically meaning something more like “may it not come about”). But Attic and older dialects (like Homeric Greek) are loaded with it. It’s not just an arbitrary extension of a subjunctive idea: it runs alongside the subjunctive and plays parallel games with it in ways that defy simple classification.
Greek has a voice that neither English nor Latin knows, properly speaking — what is called the middle voice. It is neither active nor passive; but tends to refer to things acting on or on behalf of themselves, either reflexively or in a more convoluted way that defies any kind of classification in English language categories.
The Greek conditional sentence has a range of subtlety and nuance that dwarfs almost anything we have in English. Expressing a condition in Greek, or translating a condition from Greek, requires a very particular degree of attention to how the condition is doing what it is doing. In the present and the past, one may have either contrary to fact conditions (“If I were a rich man, I would have more staircases,” or “If I had brought an umbrella I would not have become so wet,”) general conditions (“If you push that button, a light goes on,”), and particular conditions (“If you have the older edition of the book, this paragraph is different”); in the future there are three other kinds of conditions, one of them nearly (but not quite) contrary to fact (“If you were to steal my diamonds, I’d be sad,”) called the future less vivid, and then a future more vivid and a future most vivid, representing increasing degrees of urgency in the future. All of these can be tweaked and modified and, in some rather athletic situations, mixed. If you study Greek, you will never think about conditions in quite the same way again.
Greek has what are called conditional temporal clauses that model themselves on conditions in terms of their verb usage, though they don’t actually take the form of a condition. There is something like this in English, but because we don’t use such a precise and distinct range of verbs for these clauses, they don’t show their similarities nearly as well.
The Greek participle is a powerhouse unlike any in any other Western language. Whole clauses and ideas for which we would require entire sentences can be packaged up with nuance and dexterity in participles and participial phrases. Because Greek participles have vastly more forms than English (which has only a perfect passive and a present active — “broken” and “breaking”) or than Latin (which has a perfect passive and a present active, and future active and passive forms), it can do vastly more. Greek participles have a variety of tenses, they can appear in active, middle, and passive voices, and they are inflected for all cases, numbers, and genders. All of these will affect the way one apprehends these nuggets of meaning in the language.
Those are only some examples of how a Greek sentence enforces a subtly different pattern of thought upon people who are dealing with it. As I said, however, for me the real treasure is in seeing these things in action, and seeing the ideas that arise through and in these expressions. So what’s so special as to require to be read in Greek?
Lucie already has written thoroughly enough about the joys of Homer; much the same could be said of almost any of the other classical authors. Plato’s dialogues come alive with a witty, edgy repartee that mostly gets flattened in translation. The dazzling wordplay and terrifying rhythms of Euripidean choruses cannot be emulated in meaningful English. Herodotus’s meandering storytelling in his slightly twisted Ionic dialect is a piece of wayfaring all on its own. The list goes on.
For a Christian, of course, being able to read the New Testament in its original form is a very significant advantage. Those who have spent any time investigating what we do at Scholars Online will realize that this is perhaps an odd thing to bring up, since we don’t teach New Testament Greek as such. My rationale there is really quite simple: the marginal cost of learning classical Attic Greek is small enough, compared with its advantages, that there seems no point in learning merely the New Testament (koine) version of the language. Anyone who can read Attic Greek can handle the New Testament with virtually no trouble. Yes, there are a few different forms: some internal consonants are lost, so that γίγνομαι (gignomai) becomes γίνομαι (ginomai), and the like. Yes, some of the more elaborate constructions go away, and one has to get used to a range of conditions (for example) that is significantly diminished from the Attic models I talked about above. But none of this will really throw a student of Attic into a tailspin; the converse is not true. Someone trained in New Testament Greek can read only New Testament Greek. Homer, Euripides, Plato, Aristotle, Sophocles, Herodotus, Thucydides — all the treasures of the classical Greek tradition remain inaccessible. But the important contents of the New Testament and the early Greek church fathers is open even with this restricted subset of Greek — and they are very well worth reading.
Greek is not, as mentioned earlier, a very popular subject to take at the high school level, and it’s obvious that it’s one of those things that requires a real investment of time and effort. Nevertheless, it is one of the most rewarding things one can study, both for the intrinsic delights of reading Greek texts and for some of the new categories of thought it will open up. For the truly exceptional student it can go alongside Latin to create a much richer apprehension of the way language and literary art can work, and to provide a set of age-old eyes with which to look all that more precisely at the modern world.
One of the college majors most widely pursued these days is computer science. This is largely because it’s generally seen as a ticket into a difficult and parsimonious job market. Specific computer skills are demonstrably marketable: one need merely review the help wanted section of almost any newspaper to see just how particular those demands are.
As a field of study, in other words, its value is generally seen entirely in terms of employability. It’s about training, rather than about education. Just to be clear: by “education”, I mean something that has to do with forming a person as a whole, rather just preparing him or her for a given job, which I generally refer to as “training”. If one wants to become somewhat Aristotelian and Dantean, it’s at least partly a distinction between essence and function. (That these two are inter-related is relevant, I think, to what follows.) One sign of the distinction, however, is that if things evolve sufficiently, one’s former training may become irrelevant, and one may need to be retrained for some other task or set of tasks. Education, on the other hand, is cumulative. Nothing is ever entirely lost or wasted; each thing we learn provides us with a new set of eyes, so to speak, with which to view the next thing. In a broad and somewhat simplistic reduction, training teaches you how to do, while education teaches you how to think.
One of the implications of that, I suppose, is that the distinction between education and training has largely to do with how one approaches it. What is training for one person may well be education for another. In fact, in the real world, probably these two things don’t actually appear unmixed. Life being what it is, and given that God has a sense of humor, what was training at one time may, on reflection, turn into something more like education. That’s all fine. Neither education nor training is a bad thing, and one needs both in the course of a well-balanced life. And though keeping the two distinct may be of considerable practical value, we must also acknowledge that the line is blurry. Whatever one takes in an educational mode will probably produce an educational effect, even if it’s something normally considered to be training. If this distinction seems a bit like C. S. Lewis’s distinction between “using” and “receiving”, articulated in his An Experiment in Criticism, that’s probably not accidental. Lewis’s argument there has gone a long way toward forming how I look at such things.
Having laid that groundwork, therefore, I’d like to talk a bit about computer programming as a liberal art. Anyone who knows me or knows much about me knows that I’m not really a programmer by profession, and that the mathematical studies were not my strong suit in high school or college (though I’ve since come to make peace with them).
Programming is obviously not one of the original liberal arts. Then again, neither are most of the things we study under today’s “liberal arts” heading. The original liberal arts included seven: grammar, dialectic, and rhetoric — all of which were about cultivating precise expression (and which were effectively a kind of training for ancient legal processes), and arithmetic, geometry, music, and astronomy. Those last four were all mathematical disciplines: both music and astronomy bore virtually no relation to what is taught today under those rubrics. Music was not about pavanes or symphonies or improvisational jazz: it was about divisions of vibrating strings into equal sections, and the harmonies thereby generated. Astronomy was similarly not about celestial atmospheres or planetary gravitation, but about proportions and periodicity in the heavens, and the placement of planets on epicycles. Kepler managed to dispense with epicycles, which are now of chiefly historical interest.
In keeping with the spirit, if not the letter, of that original categorization, we’ve come to apply the term “liberal arts” today to almost any discipline that is pursued for its own sake — or at least not for the sake of any immediate material or financial advantage. Art, literature, drama, and music (of the pavane-symphony-jazz sort) are all considered liberal arts largely because they have no immediate practical application to the job of surviving in the world. That’s okay, as long as we know what we’re doing, and realize that it’s not quite the same thing.
While today’s economic life in the “information age” is largely driven by computers, and there are job openings for those with the right set of skills and certifications, I would suggest that computer programming does have a place in the education of a free and adaptable person in the modern world, irrespective of whether it has any direct or immediate job applicability.
I first encountered computer programming (in a practical sense) when I was in graduate school in classics. At the time (when we got our first computer, an Osborne I with 64K of memory and two drives with 92K capacity each), there was virtually nothing to do with classics that was going to be aided a great deal by computers or programming, other than using the very basic word processor to produce papers. That was indeed useful — but had nothing to do with programming from my own perspective. Still, I found Miscrosoft Basic and some of the other tools inviting and intriguing — eventually moving on to Forth, Pascal, C, and even some 8080 Assembler — because they allowed one to envision new things to do, and project ways of doing them.
Programming — originally recreational as it might have been — taught me a number of things that I have come to use at various levels in my own personal and professional life. Even more importantly, though, it has taught me things that are fundamental about the nature of thought and the way I can go about doing anything at all.
Douglas Adams, the author of the Hitchhiker’s Guide books, probably caught its most essential truth in Dirk Gently’s Holistic Detective Agency:
”…if you really want to understand something, the best way is to try and explain it to someone else. That forces you to sort it out in your mind. And the more slow and dim-witted your pupil, the more you have to break things down into more and more simple ideas. And that’s really the essence of programming. By the time you’ve sorted out a complicated idea into little steps that even a stupid machine can deal with, you’ve learned something about it yourself.”
I might add that not only have you yourself learned something about it, but you have, in the process learned something about yourself.
Adams also wrote, “I am rarely happier than when spending entire day programming my computer to perform automatically a task that it would otherwise take me a good ten seconds to do by hand.” This is, of course, one of the drolleries about programming. The hidden benefit is that, once perfected, that tool, whatever it was, allows one to save ten seconds every time it is run. If one judges things and their needs rightly, one might be able to save ten seconds a few hundred thousand or even a few million times. At that point, the time spent on programming the tool will not merely save time, but may make possible things that simply could never have been done otherwise.
One occasionally hears it said that a good programmer is a lazy programmer. That’s not strictly true — but the fact is that a really effective programmer is one who would rather do something once, and then have it take over the job of repeating things. A good programmer will use one set of tools to create other tools — and those will increase his or her effective range not two or three times, but often a thousandfold or more. Related to this is the curious phenomenon that a really good programmer is probably worth a few hundred merely adequate ones, in terms of productivity. The market realities haven’t yet caught up with this fact — and it may be that they never will — but it’s an interesting phenomenon.
Not only does programming require one to break things down into very tiny granular steps, but it also encourages one to come up with the simplest way of expressing those things. Economy of expression comes close to the liberal arts of rhetoric and dialectic, in its own way. Something expressed elegantly has a certain intrinsic beauty, even. Non-programmers are often nonplussed when they hear programmers talking about another programmer’s style or the beauty of his or her code — but the phenomenon is as real as the elegance of a Ciceronian period.
Pursuit of elegance and economy in programming also invites us to try looking at things from the other side of the process. When programming an early version of the game of Life for the Osborne, I discovered that by simply inverting a certain algorithm (having each live cell increment the neighbor count of all its adjacent spaces, rather than having each space count its live neighbors) achieved an eight-to-tenfold improvement in performance. Once one has done this kind of thing a few times, one starts to look for such opportunities. They are not all in a programming context.
There are general truths that one can learn from engaging in a larger programming project, too. I’ve come reluctantly to realize over the years that the problem in coming up with a really good computer program is seldom an inability to execute what one envisions: it’s much more likely to be a problem of executing what one hasn’t adequately envisioned in the first place. Not knowing what winning looks like, in other words, makes the game much harder to play. Forming a really clear plan first is going to pay dividends all the way down the line. One can find a few thousand applications for that principle every day, both in the computing world and everywhere else. Rushing into the production of something is almost always a recipe for disaster, a fact explored by Frederick P. Brooks in his brilliantly insightful (and still relevant) 1975 book, The Mythical Man-Month, which documents his own blunders as the head of the IBM System 360 project, and the costly lessons he learned from the process.
One of the virtues of programming as a way of training the mind is that it provides an objective “hard” target. One cannot make merely suggestive remarks to a computer and expect them to be understood. A computer is, in some ways, an objective engine of pure logic, and it is relentless and completely unsympathetic. It will do precisely what it’s told to do — no more and no less. Barring actual mechanical failure, it will do it over and over again exactly the same way. One cannot browbeat or cajole a computer into changing its approach. There’s a practical lesson and probably a moral lesson too there. People can be persuaded; reality just doesn’t work that way — which is probably just as well.
I am certainly not the first to have noted that computer programming can have this kind of function in educational terms. Brian Kernighan — someone known well to the community of Unix and C programmers over the years (he was a major part of the team that invented C and Unix) has argued that it’s precisely that in a New York Times article linked here. Donald Knuth, one of the magisterial figures of the first generation of programming, holds forth on its place as an art, too, here. In 2008, members of the faculties of Williams College and Pomona College (my own alma mater) collaborated on a similar statement available here. Another reflection on computer science and math in a pedagogical context is here. And of course Douglas Hofstadter in 1979 adumbrated some of the more important issues in his delightful and bizarre book, Gödel, Escher, Bach: An Eternal Golden Braid.
Is this all theory and general knowledge? Of course not. What one learns along the line here can be completely practical, too, even in a narrower sense. For me it paid off in ways I could never have envisioned when I was starting out.
When I was finishing my dissertation — an edition of the ninth-century Latin commentary of Claudius, Bishop of Turin, on the Gospel of Matthew — I realized that there was no practical way to produce a page format that would echo what normal classical and mediaeval text editions typically show on a page. Microsoft Word (which was what I was using at the time) supported footnotes — but typically these texts don’t use footnotes. Instead, the variations in manuscript readings are keyed not to footnote marks, but to the line numbers of the original text, and kept in a repository of textual variants at the bottom of the page (what is called in the trade an apparatus criticus). In addition, I wanted to have two further sets of notes at the bottom of the page, one giving the sources of the earlier church fathers that Claudius was quoting, and another giving specifically scriptural citations. I also wanted to mark in the margins where the foliation of the original manuscripts changed. Unsurprisingly, there’s really not a way to get Microsoft Word to do all that for you automatically. But with a bit of Pascal, I was able to write a page formatter that would take a compressed set of notes indicating all these things, and parcel them out to the right parts of the page, in a way that would be consistent with RTF and University Microfilms standards.
Recently I had to recast my Latin IV class to correspond to the new AP curriculum definition from the College Board. (While it is not, for several reasons, a certified AP course, I’m using the course definition, on the assumption that a majority of the students will want to take the AP exam.) Among the things I wanted to do was to provide a set of vocabulary quizzes to keep the students ahead of the curve, and reduce the amount of dictionary-thumping they’d have to do en route. Using Lee Butterman’s useful and elegant NoDictionaries site, I was able to get a complete list of the words required for the passages in question from Caesar and Vergil; using a spreadsheet, I was able to sort and re-order these lists so as to catch each word the first time it appeared, and eliminate the repetitions; using regular expressions with a “grep” utility in my programming editor (BBEdit for the Macintosh) I was able to take those lists and format them into GIFT format files for importation into the Moodle, where they will be, I trust, reasonably useful for my students. That took me less than a day for several thousand words — something I probably could not have done otherwise in anything approaching a reasonable amount of time. For none of those tasks did I have any training as such. But the ways of thinking I had learned by doing other programming tasks enabled me to do these here.
Perhaps the real lesson here is that there is probably nothing — however mechanical it may seem to be — that cannot be in some senses used as a basis of education, and no education that cannot yield some practical fruit down the road a ways. That all seems consistent (to me) with the larger divine economy of things.
Last time, we talked about whether the federal Anti-Injuction Act barred challenges to the PPACA. All nine justices were united in the view that it did not, which leads us to the question whether the “shared responsibility payment” (“SRP”) provision of the PPACA was within the power of Congress to enact. Here we do not find unanimity.
Justice Roberts, in the lead opinion, concludes that Congress had no power to enact the SRP under the Commerce Clause of the Constitution. In this conclusion he is joined by Justices Scalia, Kennedy, Thomas and Alito, whose reasoning closely follows that of Justice Roberts.
This issue was expected to be the heart of the case by readers of the briefs and observers of the oral argument. The Commerce Clause (along with the Necessary and Proper Clause) was the Government’s primary justification for the validity of the SRP and the primary point of attack for the challengers.
The Commerce Clause is in Article I Section 8 of the Constitution and reads as follows: “The Congress shall have the power to . . . regulate commerce with foreign nations, and among the several states, and with the Indian tribes. . . .” At least part of the intent behind this provision was to prevent the various states from erecting tariffs against one another (some states had done this following the Revolutionary War). But talking about the “intent” is already, as noted in an earlier entry, to begin to take sides in a controversy about how the Constitution should be applied.
Justice Roberts acknowledges that “it is now well established the Congress has broad authority under the [Commerce] Clause.” He cites the 1942 case of Wickard v. Filburn, which considered a federal quota on the amount of wheat grown per acre (the intent was to increase the price of wheat for the farmers’ benefit). Filburn argued that Congress had no power to regulate his wheat production because he used all of his wheat himself (e.g. for feeding his chickens) and did not sell it in interstate commerce. The Supreme Court upheld the law, arguing that Filburn’s violation of the quota made him less likely to purchase wheat from others. This activity, if aggregated among many wheat consumers, could have a significant effect on the price of wheat in interstate commerce and therefore triggered Congress’s power.
Justice Roberts evidently thinks that Wickard represents an extreme limit on Congressional power. As he says, even if Congress can regulate many kinds of commercial activity on the theory that affects – perhaps indirectly – interstate commerce, “Congress has never attempted to rely on [the Commerce Clause] power to compel individuals not engaged in commerce to purchase an unwanted product.” The dissent agrees, saying that Wickard has been regarded as the “ne plus ultra of expansive Commerce Clause jurisprudence.” (“Ne plus ultra” is what Gandalf says to the balrog in the Latin version of the Lord of the Rings.)
Justice Roberts and the dissent draw two conclusions here. First, no prior case construing the Commerce Clause has ever permitted Congress to require citizens to purchase a commercial product. Second, if Congress can require the purchase of a commercial product, then there is no principled limit on Congress’s power, contrary to the intent of the framers of the Constitution that the federal government was one of only limited powers. As the dissent notes, the Government was invited, at oral argument, to say what federal control over private conduct could not be justified on the same basis as the PPACA mandate. “It was unable to name any.”
The concurring opinion by Justices Ginsburg, Breyer, Sotomayor and Kagan makes an effort to answer the question “if Congress under the Commerce Clause can require citizens to purchase insurance policies, are there any principled limits on its power?” This has sometimes been expressed in a more colorful way: “Can Congress require everyone to purchase broccoli?” That question will be considered in the next entry.
There are many on-line resources for math students these days. There are college/university level courses, such as those offered by MIT and Stanford. There are YouTube videos suitable for high school level study, such as Khan Academy and others. There are also many downloadable textbooks and on-line learning aids. A conscientious parent might ask, “What is the benefit worth paying for in having a live but on-line instructor?”
The question is both easy and hard for me to answer, because of my varied experience. I have taken classes from teachers in person, via live video links, and on-line. I have also learned material on my own with no teacher to interact with. In previous blog entries, the Drs. McMenomy have discussed the virtues of finding things out on one’s own (“Freedom to fail” and “Failure is not an option” below). So, as a student, why not tackle calculus on your own?
In an ideal context, you would have all the time you needed to explore all of the nooks and crannies, all the dead-ends, of a mathematical subject until you reached the same conclusions as previous generations of mathematicians. Most likely, you’d be a good mathematician then, too – math certainly requires practice to do well, and you would have had a lot of practice. But independent exploration takes a long while – unless you are an amazing genius, much more time than a year’s worth of classes.
So there’s the first reason to have a math teacher: to shorten the time it takes to reach mastery, by pointing out unprofitable dead ends in thought.
As you learn a subject, you must make mistakes. (This is a lesson I personally resisted for a long time – I wanted to be perfect the first time through.) Because mathematics has a definite sense of “correct and incorrect”, of “perfect and imperfect”, it’s not so bad as with Greek or history, where there are matters of style and personal orientation. Proofs, which can convince any sceptic, are not only possible, but expected, at least at times. However, you have to avoid learning the mistakes you make during learning as if they were true.
So there’s the second reason to have a math teacher: to point out the errors in your reasoning and understanding, so that you don’t have to un-learn and re-learn the material involved. This is especially true when there’s very careful reasoning required – and calculus certainly has areas where it has taken centuries for some very bright people to reach an adequate level of care in reasoning!
Anyone who has read a textbook (or any other nonfiction book) realizes that not all the material in them is equally important. That seems pretty blatantly obvious, but not everyone sees that. I’ve been known to grouse about professors’ pet theories which, while true, aren’t useful, using terms like “academic fantasies”.
So there’s the third reason to have a math teacher: someone to point out the crucially important parts, and differentiate them from the merely interesting parts. (OK, I’m not perfect there – but I try!)
But perhaps the most critical reason for an outsider’s presence in the learning activity is embodied in the statement, “you don’t know what you don’t know.” It sounds tautological, until you realize that you can know what you don’t know in some contexts (“I don’t know anything about the aorist in Greek, except that there’s something knowable under that label”), and there are so many situations possibly contrary to fact that you can’t even know them all. (A recent example: “Lifetime warranty” – I knew that sometimes it refers to the buyer’s lifetime, sometimes to the useful life of the product – but I didn’t know, in the sense that I really believed it in a way that I could act on it, that it might also refer to the lifetime of the company offering the product…) There can be holes in your knowledge that you’re unaware of: intellectual blind spots.
So there’s the fourth reason to have a math teacher: someone to make sure that your knowledge is reliably complete.
All that said, no one can practice doing math for you, just as no one can do physical exercise for you. Learning is the goal, and teaching one of many means to the goal.
About this time last year, Dr. McMenomy approached me with an idea that was half-proposal and half-plea. The World History course for that year had both students enrolled and a textbook picked out and purchased, but did not have a teacher. As I was the other specifically-history teacher on the Scholars Online staff, Dr. McMenomy asked me to take over. I hesitated; while I enjoy teaching anything historical, I was less delighted with the notion of taking over a class with its syllabus essentially dictated by a book I hadn’t chosen, especially a book which Dr. McMenomy acknowledged was far from ideal. Moreover, I knew that I’d need to do some preparation in August and September, which happened to be when I was a) moving and b) organizing a small conference. With this in mind, I said I had to decline. But the good doctor was politely insistent, pointing out that he was deeply opposed to canceling a class with students enrolled. He offered to lend a hand in getting the class set up: we could team-teach until I’d found my feet, he said, and then he’d let me take over. Still with some trepidation, I accepted this proposal.
Our first task was to write up summaries and quizzes for each chapter. We soon settled into the pattern of swapping off, each one of us writing up the notes and the quiz, and then leading the discussion. The other teacher would chime in with some additional comments.
This led to some interesting moments right off. Dr. McMenomy and I do not agree on everything; in fact on some subjects we stand at opposites. In the teaching of history our differences are not quite so pronounced, but there’s a real difference of emphasis. The doctor knows more than I about the intellectual history of the world, being by trade and inclination a classics instructor; he studies ideas, their transmission, and their influence. In contrast my attention is usually on everyday people in history—not the rulers or the scholars, but the ordinary folks who worked, fought, and struggled; the ones doing the digging and the dying, as it were. Dr. McMenomy is a master of learning and knowing what has been handed down to us, whereas I am trying to find out who and what has been overlooked, and therefore he has somewhat higher regard for established authority, while I am usually cheering for the underdog.
With such differences in style—not total opposition, but different enough—the result could have been tension and conflict. Instead, the result was a creative tension. Dr. McMenomy and I have known each other for almost three decades now, in fact since I was a young child, and as a result we know each other’s standpoints and respect them. Thus any difference of opinion that might have triggered a dispute was kept in check by our long friendship. This did not keep us from discussing and even debating, but we did so with high regard for each other even as we contested each other’s points.
At first I was concerned about showing this during class. But Dr. McMenomy pointed out that it would be good for our students to see that history is not a settled issue. The truth of history is not relative—something did happen, after all—but knowing the whole of that truth is nigh on impossible, and thus history is a realm of theory and evidence. My historical theories have support and also have a few holes; Dr. McMenomy’s ideas are, being human, similarly incomplete. The Grand Unified Theory of History, he says, is that no Grand Unified Theory of History is possible. When we discussed in front of the students, we thus made it clear that history is subject to continual questioning and debate. We also showed them that it’s up to them to make up their own minds. We refused to hand down definitive answers, because any such answers would keep the students from coming to their own conclusions… and besides, any such definitive answers would probably be flawed.
The doctor and I did come to many points of agreement; it wasn’t a continual debate. We did not always agree on the sources of power, but we both agreed that power was at the heart of history, and frequently steered our discussion in that direction. We also came to agree that geography is destiny, though naturally with a few limits. We were also firmly united in our growing disdain for the textbook we were using.
The weeks went by, the classes and the discussions continued, and it dawned on us that, rather than a chore forced on us, the class had become downright fun. Dr. McMenomy never stepped back and handed the class over to me; neither of us wanted him to. The collaboration was too delightful. We each built half of the exams, reviewed each other’s work, and then sent it on to the students; for grading, we would grade the work separately, compare notes, and then settle on a compromise where needed. As far as could be managed we kept things balanced, splitting the chapters between us and writing up extensive commentaries on each one, with discussion questions at the end to guide the class.
We noted that the commentaries were growing more and more lengthy. This was necessary; the book was continually failing to provide adequate coverage and synthesis. Sometimes it failed to provide even basic coherency, and was riddled with errors great and small. Looking for a replacement, we discovered to our dismay that it was the best available at that grade level. There were better books, but only for college students.
At the end of the year Dr. McMenomy began overhauling our class website, which was beginning to stagger under the amount of material we’d loaded onto it, and realized that over the course of the year, we’d written over forty-five thousand words. At which point he made a new proposal to me: “Would you like to write a textbook? We’re already well on our way.”
The idea caught our imaginations. We would continue the collaborative approach, we decided: each one of us would write certain chapters, then review the other’s work. Moreover we agreed to keep the useful conversation going within the text itself: we would respond to each other’s chapters, assessing and evaluating the other’s ideas, in a note at the end of each section. Thus students, reading through the text, would learn from the book itself that there are no easy answers, that when it comes to history you can’t necessarily just look up the answer, and that you should not automatically assume that what you read is gospel truth.
Then it dawned on us that we could begin to write our book piecemeal and replace sections of the current text as we went through (starting with the most egregiously inaccurate and inadequate chapters). As students read through, they will alternate between reading our material, posted online, and reading the old book. We aspire to rewrite about a third of the book as we teach this next year’s class. The material will be posted on the class website, which you can find here. The site is undergoing some changes at the moment and will undergo more throughout the year. Gradually, we’ll replace more and more of the book material, and eventually wind up with our own, brand-new text.
This is a substantial project, and we know it will take years. It’s also a highly ambitious project—ambitious to the point of madness, maybe!
But if so, it’s a truly pleasant madness. It is a deep privilege to work with Dr. McMenomy, who for all our differences of opinion remains the wisest and most insightful man I have ever met. I believe I speak for both of us when I say that we have learned a lot from each other and from the process of teaching this class; and we hope, with some confidence, that our learning leads to broader and better instruction, and our students will reap the benefits.
On the Supreme Court website, you can find the docket for this case (the title is National Federation of Independent Business v. Sebelius), which lists all the papers filed with the Court (this word is traditionally capitalized for the Supreme Court). It’s a long list. Oral argument is a dramatic high point, but it is only the tip of the iceberg in terms of the information provided to the Court.
The opinion begins with a “syllabus” by a Court official, the Reporter of Decisions. The syllabus summarizes the background of the case and the main issues resolved in the opinion. Note that there are multiple opinions and various justices have joined in different parts of those opinions. To figure out whether the Court’s has a “majority opinion” on any particular point, you must count how many justices sign (or concur in) a particular opinion part.
The PPACA is a complex law. Fortunately us, the Court focused chiefly at two provisions. The first is the “individual mandate” that requires everyone (with some exceptions) to purchase health insurance meeting various federal requirements or else pay a “shared responsibility payment” (let’s call it the “SRP”) to the federal government. (Note that in the following discussion I am not concerned with the wisdom of the PPACA, only with whether it is a valid enactment. This is (or should be) the Court’s approach as well.)
Before asking whether the individual mandate is a proper exercise of Congressional power, Chief Justice Roberts considers the federal Anti-Injunction Act, a law that prohibits challenging any tax before the challenger has actually paid it. Should the SRP be considered a tax? If so, then any court challenge is premature because no one has yet paid the SRP.
Chief Justice Roberts discusses this issue in part II of his opinion, concluding that the SRP is not a tax for purposes of the Anti-Injunction Act. His reasoning is straightforward: the PPACA contains several provisions that expressly impose taxes but the SRP is called a “penalty” and not a tax. The Chief Justice notes, “[w]here Congress uses certain language in one part of a statute and different language in another, it is generally presumed that Congress acts intentionally” and “the best evidence of Congress’s intent is the statutory text.” (These statements, it seems to me, reflect a judicial approach to acts of Congress that respects the equal status of the two branches.)
To make sure this issue was fully considered, the Court invited a senior lawyer (a “friend of the Court” or in Latin “amicus”) to submit a brief making the best arguments in favor of applying the Anti-Injunction Act. The amicus suggested that since the PPACA calls for the SRP to be “assessed and collected in the same manner” as taxes, this is evidence that the SRP is a tax. Chief Justice Roberts rejects this argument. To the contrary, he says, this provision actually supports the conclusion that the SRP is not a tax. If it were a tax, there would be no need to direct that it be assessed and collected in the same manner as taxes. It is because it is a penalty (and not a tax) that it makes sense to explain that the procedure for collecting it will be through the taxing authority.
Justices Ginsburg, Sotomayor, Breyer and Kagan agree with the Chief Justice’s conclusion in their separate opinion, and Justices Scalia, Thomas, Kennedy and Alito also agree in their dissent. So this part of the opinion is unanimous in result, if not in reasoning.