Tag Archives: Bayes’ Theorem

Probability Theory, Moral Certainty, and Bayes’ Theorem in Shakespeare’s OTHELLO

Marionet Teatro
Theatre about Science Conference
University of Coimbra, Portugal
November 25-27, 2021
Edwin Wong

Probability Theory, Moral Certainty, and Bayes’ Theorem in Shakespeare’s Othello

Thank you to the organizers for putting this wonderful event together and thank you everyone for coming. It’s great to be here. I’m Edwin Wong. I specialize in dramatic theory based on chance, uncertainty, and the impact of the highly improbable. My first book, The Risk Theatre Model of Tragedy, presents a new theory of tragedy where risk is the dramatic fulcrum of the action. The book launched The Risk Theatre Modern Tragedy Playwriting Competition, the world’s largest competition for the writing of tragedy, now in its fourth year (risktheatre.com). Today, I’ve come all the way from Victoria, on the west coast of Canada, to talk about the intersection between theatre and probability theory in a play we all know and love: Shakespeare’s Othello.

Now, the first thing people ask when I say “theatre” and “probability theory” is: “How do you bring probability theory to theatre? How would you know the odds of something happening or not happening? —every event, even chance events, are purposefully written into the script by the playwright.” They ask: “Where is the probability in theatre?”

It’s there. Look at the language of probability in Othello. In Othello, Shakespeare talks of “proof,” “overt test,” “thin habit and poor likelihoods,” “modern seeming,” “probal [i.e. probable] to thinking,” “exsufflicate [i.e. improbable] and blown surmises,” “inference,” “prove it that the probation bear no hinge nor loop,” “I’ll have some proof,” “living reason,” “help to thicken other proofs that do demonstrate thinly,” “speaks against her with the other proofs,” and so on. The language of probability permeates the play.

The language of probability permeates Othello because, in this play, no one is as they seem. “I am not what I am,” right? Iago seems honest; he’s anything but. Othello seems a man for all seasons; he is, however, quite fragile. Desdemona seems unfaithful; she is, however, true. Emilia seems to have loose morals; she sticks to her morals, however, even when threatened with death. There’s a disjunction between seeming and being. Othello and Iago talk about it: “Men should be what they seem,” says Iago, “Or those that be not, would they might seem none.” Because seeming and being are at odds, you can guess what a person’s intentions are, but you may never know.

This brings us to the crux of the play: your best friend who you’ve stood shoulder-to-shoulder with in wars and who’s known for his honesty, is telling you your wife is getting it on with your lieutenant. You’re a little bit older, having “declined into the vale of years.” Your wife is young, as is your lieutenant. But, you love your wife very much and she seems constant. At the same time, you also trust your best friend. What do you do?

This is what Othello decides. If the allegations are true, he’ll kill Desdemona and Cassio. If they’re false, he’ll kill Iago. Someone will die. The problem is, how does he decide who dies? There’s no proof. Nor is proof forthcoming: Iago and Othello establish that Desdemona and Cassio, if they’re guilty, aren’t going to confess. And, because they’re subtle lovers, Othello’s not going to catch them in the act. In the real world, you could probably catch them, sooner or later. But that’s not the world of the play that Shakespeare’s created: in this play, there’s only seeming.

So, Othello will kill. Who he kills will be based on belief and probability. He can’t decide. But Iago helps him. He comes up with the test of the handkerchief. Now, the test of the handkerchief isn’t certain, but in the world of the play, nothing is certain; there’s only probability. Othello has given Desdemona a special handkerchief. Iago suggests that, if the handkerchief makes its way into Cassio’s hands, then Othello can take this as proof. Conversely, if Iago cannot demonstrate this, Othello can take this as proof Iago is lying. Lives hand in balance.

In their rush to dinner, Othello and Desdemona accidentally drop the handkerchief. Emilia, by chance, finds it, and, knowing that Iago is always asking about it, gives it to Iago. Iago plants the handkerchief in Cassio’s bedroom where Cassio finds it and asks his ladyfriend Bianca to copy the design: the napkin is of an unusual provenance, “spotted with strawberries.” Bianca, however, thinking the handkerchief a gift from some new woman, gets jealous and squabbles with Cassio. Iago, meanwhile, has set things up so that Othello sees Cassio with the handkerchief. Once he sees the handkerchief, he’s convinced: Cassio and Desdemona are getting it on.

Is Othello, jumping to this conclusion, being reasonable? The first great Othello critic, Thomas Rymer, found Othello’s actions laughable. He came up with a jingling couplet to express his distaste, saying: “Before the Jealousie be Tragical, the proof may be Mathematical.” Most people, I believe, would agree with Rymer and say: “Othello, what are you doing?!?”

Enter probability theory. In probability theory, there’s a tool called Bayes’ theorem. It’s used to calculate conditional probabilities. With it, you can revise probability estimates as new information comes to light. This is exactly what happens in Othello: new evidence—the handkerchief—comes to light that makes Othello revise his initial probability estimate. In Iago’s words, the napkin “speaks against her with the other proofs,” or the napkin “may help to thicken other proofs / That do demonstrate thinly.” How much does it thicken the other proofs? Let’s find out. We can throw some numbers figures into Bayes’ theorem, and it will tell us, in percent, how certain Othello is after he sees Cassio with the napkin.

We start off with what is called the prior probability. That is the initial probability before he receive new information. Now, before the test of the handkerchief, Othello says:

Othello. By the world,
I think my wife be honest, and think she is not,
I think that thou [meaning Iago] art just, and think thou are not.

It seems that he views the odds that he has been cuckolded as 50:50. His mind is evenly divided. So, we enter this into the formula.

Next, we need to come up with a probability value that represents the chance that Cassio has the handkerchief given that Othello has been cuckolded. The dialogue between Othello and Iago suggests that we should assign a high percentage to this figure, which, while not 100%, must approach 100%. Call it 90%. We enter this into the formula.

The final probability value we require is the chance that Cassio should have his handkerchief given that Othello has not been cuckolded. Although Iago suggests that lovers give away their tokens all the time, Othello’s reaction suggests he strongly disagrees. So, we can call the likelihood that Cassio has the napkin and nothing untoward has happened something low, in the order of magnitude of say 1%.

We plug all these values into Bayes’ theorem, and it gives us an answer: if Othello’s mind had been evenly divided on Desdemona’s guilt, once he sees the handkerchief in Cassio’s hand, he can be 98.9% certain that he has been cuckolded. So, it would appear, contrary to Rymer, that the “Jealousie was Tragical because the proof is Mathematical.” A certainty test of 98.9% is certainly high. Modern statisticians use a 5% certainty test to establish moral certainty, or, the threshold at which one has the right to act. Othello is well within this 5% range.

We can also play with the numbers to arrive at different results. Some might say, for example, that a 50% initial probability that he is a cuckold is way too low. Look, if your best friend—who is known for honesty—and your wife’s father himself is telling you to watch out, then the initial probability you are a cuckold is likelier closer to 80%. If this is the case, then, after the napkin test, the chances you are a cuckold go up from 98.9 to 99.7%. That’s equivalent to the three-sigma test that physicists, up to recently, use to confirm that their experiments are the real deal, and not an artifact of chance. 99.7% is quite confidence inspiring, and shows that Othello, after seeing the napkin, could be quite sure.

Of course, everyone says Othello was too rash. He should not have killed Desdemona. I get this. But then, should he have killed Iago? Remember, the play is set up so that he has to kill someone, whether Desdemona or Iago. This is where probability gets interesting. The question the play asks is: how high a degree of confidence must we have to act? Those who contend Othello achieved moral certainty also have to contend with the fact that he was wrong. Those who contend that Othello failed to achieve moral certainty have to wonder how today’s insurance, medical, and consumer safety industries—not to mention courts—often hang matter of life and death on less stringent significance tests.

The intersection between probability theory and theatre is one of the richest crossroads in research today. Not only can we talk about whether Othello should or shouldn’t have acted, we can compare Othello to, say Hamlet. Hamlet is told by the ghost that his uncle killed his dad. As Hamlet himself realizes, the ghost is much less trustworthy than a best friend. Next, just like in Othello, Hamlet stages the mousetrap, the play within the play, to determine, on a probabilistic basis, whether his uncle is guilty. Like the test of the napkin, Hamlet’s mousetrap isn’t perfect. But for some reason, we allow Hamlet to act. Why is that? These are all fascinating questions that arise when we examine theatre from the perspective of probability theory.

I’ve always believed that theory should service practice. How can probability theory add to the performance of drama? I saw an Othello this year, a fast-paced one, big-budget production. But watching it, I felt some lines were missing. It turns out, after checking the text, parts of the text were missing: the beginning of act one, scene three where the sailor gives conflicting accounts of the size and heading of the attacking Turkish fleet. I learned later that this section is quite often omitted from performances. What a shame: the scene illustrates how, so often in the most critical affairs, though we want certainty, we must act based on probability. This moment sets the scene for the entire play: Othello too wants certainty, but must act on probability. By bringing science to the theatre, I offer a powerful reason for including this scene in future productions: this scene unlocks the play.

If you would like learn more about chance in theatre, pick up a copy of my book: The Risk Theatre Model of Tragedy: Gambling, Drama, and the Unexpected, published by Friesen in 2019. This talk is based on a new book chapter that came out a few months ago called: “Faces of Chance in Shakespeare’s Tragedies: Othello’s Handkerchief and Macbeth’s Moving Grove.” It’s in a book called: Critical Insights: Othello, edited by Robert C. Evans and published by Salem Press. Follow me on Twitter @TheoryOfTragedy.

Thank you.

BAYES’ THEOREM

P(C) initial probability Othello is a cuckold 50%
P(~C) initial probability Othello is not a cuckold 50%
P(H C) chance Cassio has the handkerchief if Othello is a cuckold 90%
P(H ∣ ~C) chance Cassio has the handkerchief if Othello is not a cuckold 1%

                                                               P(H ∣ C)
P(C H) = P(C) * _____________________________________________________________

                                          {P(H ∣ C) * P(C)} + {P(H ∣ ~C) * P(~C)}

Putting it all together yields this result:

                                                               0.90
0.989 = (0.50) * _____________________________________________________________

                                          {0.90 * 0.50} + {0.01 * 0.50}

– – –

Don’t forget me. I’m Edwin Wong and I do Melpomene’s work.
sine memoria nihil

Seven Risk Theatre Playwriting Exercises

WORKING TITLE PLAYWRIGHTS
RISK THEATRE MASTER CLASS WITH EDWIN WONG
FEBRUARY 13/20 2021

SEVEN RISK THEATRE PLAYWRITING EXERCISES

Hi everyone, Edwin Wong here and I’ve got an awesome master class on risk theatre for you. This master class started when playwright and risk theatre finalist Emily McClain put me in touch with Amber Bradshaw, the managing artistic director at Working Title Playwrights, the leading new play incubator in the Southeast. Thank you to Emily, Amber, and Working Title Playwrights for this wonderful opportunity to connect. It’s great to see y’all here. Thank you for coming!

Here’s the story of risk theatre. Like Aristotle’s Poetics or Nietzsche’s The Birth of Tragedy, risk theatre is a theory of tragedy. One of the purposes of theories of tragedy is to answer the question: “Why do we find tragedy so alluring when it is full of sorrow and suffering? Why are we not, instead, disgusted by it” My answer is that tragedy fascinates because it dramatizes chance and uncertainty. By making risk the dramatic fulcrum of the action, it keeps audiences in thrall.

While researching probability theory in 2006, the spark of risk theatre occurred. I fed the spark, and, by inaugurating an international drama competition in 2018, the spark became a flame. The contest is now in its third year and awards over $12k in prize money each year. Then, by launching my book in 2019, the flame became a fire. Today, we’re going to set fire to the flames. Theatre is hungry, like fire.

When Amber was asking me to write a little blurb on the class, I thought of continuing the fire metaphor. I was going to create a tagline for the class that read: “Throw more fire into your work instead of throwing more of your work into the fire!” I didn’t have the guts to write that. But, behind the joke is a kernel of truth: my playwriting exercises will put more fire into your work.

I’ve written seven brand new exercises for you to harness the dramatic possibilities in chance, risk, and the unexpected. I’ve modelled these exercises after the playwriting exercises in Mark Bly’s 2020 book: New Dramaturgies: Strategies and Exercises for 21st Century Playwriting. Bly’s book has helped me out many times, and it’s an honour to use his book as a template. Today’s exercises are adapted from my 2019 book, The Risk Theatre Model of Tragedy: Gambling, Drama, and the Unexpected.

In today’s three hour session, I’ll present the exercises. After I present each exercise, we’ll have time to discuss for ten or so minutes before moving on to the next one. Halfway through the session we’ll have ten minute coffee break. In next week’s session, you’ll bring back your responses, and we’ll look at them together. Next week is also a three hour session, so we’ll have time for ten or eleven responses, selected from a lottery process. Chance is, after all, our theme.

Tragedy today has a bad rap. It’s a gloomy, depressing show about kings and queens. No one is lining up to see that. But if we transform tragedy into risk theatre and sell this idea to audiences and theatres, tragedy will come back into vogue. The public’s demand for chance, uncertainty, and the unexpected is insatiable because the problems and possibilities of our time are encapsulated in the concept of risk. When life give you risk, make risk theatre. Let’s go around the room and introduce ourselves. To make the audio clearer for everyone, I’ll put myself on mute now and I’ll toggle the microphone back on when I’m speaking. 

1          Wong’s “All Eggs in One Basket Exercise”

Have you heard of the expression “to go all-in?” It’s a gambling term. When a gambler goes all-in, the gambler stakes everything on the outcome of one roll, or one card, or one hand. In other words, all the eggs are in one basket. When all the eggs are in one basket, strange things happen. Strange things happen because the gambler has taken on risk. Risk has an uncanny power to multiply the risk taker’s position many times beyond what the risk taker can reasonably cover. It sets up the gambler for a catastrophic failure. These catastrophic failures interest audiences because they are inherently dramatic.

This playwriting exercise came to me when I was reading Paul Lyons’ collection of short stories called: The Greatest Gambling Stories Ever Told: Thirty-One Unforgettable Tales of Risk and Reward. Gamblers, by biting off more than they could chew, seemed to change the fabric of reality: by risk, they connect together all the strands of their life into a defining and explosive moment. Let’s talk about two of these stories: Pushkin’s Queen of Spades and Jessup’s The Cincinnati Kid.

The gambler Hermann in Pushkin’s The Queen of Spades discovers the secret to the game of faro (there is never any doubt that the secret is good, even though he gets it from the ghost of the Countess Anna Fedotovna who is a ghost because he’s killed her: in drama we overlook these “details.” Take, for example, Sophocles’ play The Women of Trachis, where Deianeira receives a potion from a dying centaur her husband’s just shot). Back to the story. The secret is to bet everything on the first night on the three card, to do the same thing the second night on the seven, and on the third night on the ace. The first night, he bets 47k rubles on the three. Tchekalinski, the banker, comments that the highest stake is typically 175 rubles. The next night, he bets 94k rubles on the seven, and wins. And the final night, he places 188k rubles on the ace, or what he thought was the ace. The ace wins, but it turns out Hermann had somehow misplaced his bet on the queen of spades, which, in defiance, seems to wink at him. He goes insane.

A similar, and even more concentrated scenario plays out in Jessup’s The Cincinnati Kid. In the movie (where the Kid plays out the final hand with greater skill than the novel), the Kid places all his eggs in one basket on the final poker hand. The Kid thinks that his full house has finally beat Lancey “The Man” Howard, who could be holding possibly nothing or perhaps a flush or straight flush. If the Man has nothing or a flush, the Kid wins. If the Man, however, has a straight flush, the Man wins. The odds in a two-handed game of poker, however, of a full house falling to a straight flush is 45,102,784:1 against. Accordingly, the Kid bets all-in, even borrowing $5000 Depression-era dollars to multiply his winnings. But, when the Man does have the straight flush, the Kid is out $15k. How much is that worth? Well, if we look at the prologue to Arthur Miller’s All My Sons, that’s the exact price of a two-storey, seven-room house in that era.

Now let’s translate this “all eggs in one basket” scenario to the playwriting world. Consider Nora in Ibsen’s A Doll’s House. For eight years, Nora bets all in on her husband’s love and understanding. Like the Cincinnati Kid, she holds a full house. But when it comes time to show her hand, she sees that, far from a full house, all she has is a doll house, and that is enough to break her heart. She bet, like Hermann in Pushkin’s short story, on the king of hearts, but finds, she’s placed all her hopes on a king of spades.

The Exercise

In the “All Eggs in One Basket” exercise, the playwright will place a character in some sort of high-stakes situation. The character really wants something very badly. To get it, the character must go all-in. There can be no plan-B. It is all-or-nothing. Finally, say how the high-stakes situation gets away from the character’s controlling grasp. In 250 words, report back to the group next week the risk event, and how the outcome defies the character’s expectations. If the response reads like a play synopsis, you’re on the right track.

2          Wong’s “Exercise in Human Foibles”

Have you noticed that we all have certain foibles that motivate us to take risk? Generally, we are risk-off. We have been brought up that way. We have been told from childhood that “a bird in hand is worth two in the bush.” Folk tales also reinforce the need for moderation: Aesop has a tale of a boy who gets his hand stuck in the jar trying to take out more than his fair portion of nuts (“The Boy and the Filberts”).

Risk-off characters are stable. For risk theatre, we need risk-on characters. How do we coax characters to turn up the risk, to flip the switch from risk-off to risk-on?

Have you heard of this stock called GameStop, ticker GME on the New York Stock Exchange? It’s been lighting up the news lately. I have a fascination for stock market bubbles: the Dutch Tulip Bubble in the 1600s, where tulips would sell for the price of waterfront mansions; the South Sea Bubble in which Isaac Newton lost a fortune, famously lamenting that he could “calculate the motions of the heavenly bodies, but not the madness of people;” the Roaring Twenties; the Dot-Com Bubble; and many more. These bubbles are the object of much study. It was while reading Canadian-American economist John Kenneth Galbraith’s A Short History of Financial Euphoria—a book short in length but long in the wit and dry humour—that this exercise occurred to me. In reviewing three centuries of financial bubbles, Galbraith identifies triggers where previously rational and risk-off market participants would engage in irrational and risk-on speculation. It occurred to me that not only normally risk-on types of characters, but also nominally risk-off characters—with the right motivation—may be inspired to engage in dangerous speculation.

Myself, I love risk-on types of characters: Faust, Joan of Arc, Don Rodrigo. But these brash characters are not to suitable for all audiences, who tire of their larger-than-life excess. Sometimes audiences enjoy characters with constant, loving, and noble natures who value reflection and prudence over risk. Othello is such a character. His “constant, loving, noble nature” makes him ill-suited for crimes of passion. Shakespeare, however, triggers Othello’s speculative tendencies by putting him “into a jealousy so strong / That judgement cannot cure.”

The Exercise

In the “Exercise in Human Foibles,” the playwright will take a mild-mannered character—one of their own or a character from a well-known play—and describe, in 250 words, how a mild-mannered nature can be encouraged to risk everything. In this exercise, you will concentrate on triggering the character’s all-too-human foibles. The emotions of greed, love, jealousy, and anger, are all proven triggers. Or you can focus on different human drives. The drive to keep up with the Joneses is identified by Galbraith as one of the factors that incite financial euphoria: even mild natures cannot stand watching neighbours get ahead.

3          Wong’s “Taking a Page from History Exercise”

One of the best pieces of advice in university was given to me by Leslie Shumka. She, in turn, got it from Keith Bradley. The advice: “Read widely, especially outside your field.” At the time, I was young, and didn’t understand. But it stuck in my head, as Leslie’s tips were usually helpful. That it came from Bradley also helped the idea stick. He was one of the gods in the department who was alternately feared and worshipped by the students, and perhaps by some of the other professors as well. He was the preeminent expert on Roman slavery, and we always thought of him as a terrific atheist, since his position was that Christianity played an absolute zero role in making slaves’ lives better. I always found it ironic that he left Victoria to finish his career at a Notre Dame, a Catholic university. At any rate, we always paid attention to what he had to say. But, at that time, I was busy reading more and more things in my field. “Why would I want to read stuff that has nothing to do with me?” I thought.

In time, I would understand. If you only read within your field, you’ll be reading what everyone else is reading and when you create, chances are you’ll be creating things similar to the things your colleagues are creating. When audiences see your shows, they may notice generic similarities in theme, plot, and image. If you want to create something that truly stands out, you have to read widely. You’ll be inspired by new ideas and find new connections. When the young Bob Dylan moved to New York in the early 60s, he would spend his days in the public library. While everyone else reading the most recent newspapers, Dylan would read the papers from the 1800s. His favourite papers were the ones from the Civil War period. You can hear this influence in his songs Nettie Moore or ‘Cross the Green Mountain. Reading widely gives him a unique take.

One of my favourite genres outside drama is history, especially the philosophy of history. The biological metaphor of nations undergoing birth, growing pains, maturity, consolidation, and decline in the German historian Oswald Spengler. The process of an eternal recurrence in the Hellenistic historian Polybius. The study of power in the Greek historian Thucydides, power that could even change the meanings of words and language.

This exercise arose while reading the historians. I noticed that they start their histories at some explosive point in time. Herodotus isn’t talking about a random section of history, but the Persian Wars, the greatest of wars up to that period of time. Thucydides one-ups Herodotus—by his time, the Persian Wars seemed like a minor skirmish—now the most badass conflict is the Peloponnesian War. Homer is even more specific. He doesn’t start at a random point in the Trojan War, but at that moment when Agamemnon insults Achilles, a slight that will result in the death of thousands, both Greek and Trojan alike.

The Exercise

In the “Taking a Page from History Exercise,” you’ll think like a historian. Come up with a historical setting and tell the group, in 250 words, the dramatic potential of this setting. Many of the most memorable plays find their inspiration from history. Macbeth is inspired by Holinshed’s Chronicles. Arthur Miller’s The Crucible is set during the Salem witch trials. Many other opportunities are also possible: scientific revolutions, the unintended consequences of great inventions, or historical pivots. The focus of this exercise isn’t a plot or the characters, but to focus on the setting itself, to find a setting out of which risk develops organically. Many possibilities present themselves here. Did you know, for example, that Sophocles’ Oedipus rex is set in a plague and was produced during a time of plague? The Crucible as well, while set during the witch trials, speaks to more contemporary events: the communist witch hunt. So too, Macbeth, while dramatizing eleventh century English-Scottish relations, speaks to the audience about King James, a Scottish king wearing the English crown.

This sort of historical distance is a useful asset to dramatists who wish to speak on current events without touching their audiences’ raw nerves. Sophocles, Shakespeare, and Miller were successful. Less successful was the ancient Athenian playwright Phrynichus. He wrote a moving play on the sack of Miletus, a sister city of Athens. It moved the audience to tears. But because the trauma of losing a sister city was too fresh, the state fined him 1000 drachmas, not a small amount, as 1000 drachmas could keep a family of four going for a year. In addition, they forbid the play from ever being produced again.

4          Wong’s “Birnam Wood Exercise”

Low-probability, high-consequence events are great fun because they’re part of a metatheatrical game between dramatists and audiences. By metatheatrical I mean the dramatist is talking directly to the audience. The game is played like this: the dramatist drops a hint of some impending low-probability event. The audience picks up this hint and starts trying to figure out how the dramatist will bring it about. The challenge is that, because the event is low-probability, it is hard to bring about.

This game of suspense is fun because it gives the audience skin in the game: they’re invested in the outcome as they try to piece together the clues. They watch the unfolding action with more attention. The game is likewise fun for the dramatist. It opens up fun devices such as misdirection or delay. The game also invests dramatists to use all their skills, as bringing about the impossible or the highly improbable is like pulling off a magic trick.

I don’t remember exactly where I got this idea from, it’s been so long. But it occurred to me when I was reading a book or an article by Alfred Hitchcock. He was talking about suspense as a game between the writer and the audience. Around the same time, while reading Shakespeare’s Macbeth and Aeschylus’ Seven Against Thebes, it struck me how Hitchcock had nailed it on the head. You can know exactly what will happen, but it’s still full of suspense because you don’t know how the dramatist will get there. Trying to guess how the dramatist gets there is all the fun.

The great fun in Macbeth is trying to figure out how Birnam Wood comes to Dunsinane Hill and how Macbeth will run across a man not of woman born. I think that the audience—as soon as they hear about Birnam Wood, and about the man not of woman born, and Macbeth’s protestations that it couldn’t happen—think the opposite: that it will happen. And it does happen: Birnam Wood comes when Malcolm orders his troops to camouflage themselves with branches cut down from the wood and Macbeth meets the man not of woman born when Macduff tells him he was born by C-section. Each time I see this—even though I’ve seen it a thousand times—I think “Ah—this is great!” And I think of what a great joke the messenger missed when he told Macbeth that the wood is coming. He could have said: “The copse are coming! The copse are coming!” (thank you to David Konstan for that funny). Well, if nobody is laughing, this is why I am leading a master class on tragedy, and not comedy! For a more detailed analysis of Macbeth, click here.

I was wondering if I should bring up Aeschylus’ Seven Against Thebes, a play that even classicists hardly read. I think I will, because it illustrates better than anything else how, even if the outcome is known to all, a great dramatist can generate suspense. Bear with me, it’s tricky to explain, but, I think, if you follow along, you’ll be amazed how Aeschylus pulls it off. For a more detailed analysis of Seven, click here.

Civil war rages in Thebes, fought between Oedipus’ two sons. Thebes has seven gates. One son, along with six captains, defends Thebes, one at each gate. Another son, along with six captains, lays siege to Thebes, one at each gate. The worst-case scenario happens if brother confronts brother at the final gate. The Greeks had rituals to purify spilt blood. They had no rituals to purify spilt kindred blood, which would release demonic spirits called the Furies. You don’t want the Furies to come out. The worst-case scenario only happens at the final gate, because, if the brothers meet before the final gate, they could substitute another captain. Oh, and another thing, the captains draw lots to determine their gate assignations. That is to say, all the gate assignations are random.

The audience knows that the brothers will kill each other. The action is part of the stories they’ve known since childhood—their myths. How this will happen in the play, however, they do not know. Okay. So the way Aeschylus sets this up is that each captain bears a shield emblazoned with a fantastic heraldic device. After the captains are assigned their gates, you can tell from the images on the shields who the gods favour—through the crack of probability and chance the gods reveal their will. In the play, we see the events unfold from the point of view of the brother defending the city. Starting from gate one, all the shield matchups overwhelmingly favour him. If the attacker carries an image of, say, the fire-breathing dragon Typhon on his shield, just by coincidence the defender has the image of Typhon’s slayer on his shield. This is a sign that the gods favour your cause. From gates one to six, by some amazing coincidence, the matchups so overwhelmingly favour the brother defending Thebes that the audience forgets that, each time a set of captains goes to the gates that isn’t one of the brothers, the odds of the worst-case scenario that brother confronts brother at gate seven goes up. And that is precisely what happens! As things get subjectively better and better, they are, in reality, getting objectively worse and worse. I love this play so much because there is no other play that works suspense so well. On the one hand, the fated outcome is getting more and more objectively likely, but, on the other hand, things are going so well it subjectively appears it could never happen. In antiquity, this play was an audience favourite, produced again and again. I can see why. I wish this play would come back into the canon. I’ve championed this play tirelessly in my risk theatre vision of tragedy.

The Exercise

In the “Birnam Wood Exercise,” the playwright will take a modern day prophecy and say, in 250 words, how, on first appearances, it could not happen, but then find a back door through which it comes to pass. Modern day prophecies can be all sorts of things. It can be the Titanic, the ship that could not be sunk. It could be the Great Depression: a few weeks before it broke out, the celebrity Yale economist Irving Fisher was telling the world that stocks had reached “a permanently high plateau.” It could be the behemoth oil rig Deepwater Horizon, with all its blowout preventers, blind shear rams, and sundry failsafes. In tragedy, there’s always a sliding door, a letter, a handkerchief.

In this exercise, the playwright finds the simplest strategy possible to communicate to the audience that the catastrophic event that can’t happen will happen. The focus is on simplicity. Usually when I tell people about how the impossible happens because Macduff was born by C-section, they groan a little bit. The technique you use to bring about the impossible doesn’t have to be realistic. The audience isn’t looking for that. But what the audience is looking for is that you play this game of suspense with them. With this one, make it simple, even if unrealistic. This is a good one to fight the urge to be clever. The C-section trick in Macbeth elicits groans, but hey, Macbeth is still a pretty good play.

5          Wong’s “O’Neill’s Fog Exercise”

I live on the banks of Esquimalt Harbour, in Victoria, Canada. My “harbour” is really a mud flat that’s different at all times of the day. When the tide’s out the shore recedes 200 metres. When the tide’s in, it looks like you’re looking into the ocean, but, until you get 300-400 metres out, it’s only 2-3 feet deep. In fact there’s an island a couple of hundred metres from shore that you can walk out to, even in high tide. Zodiacs drive all the way in and I’m always surprised their engines don’t bottom out. One cool thing around here are all the different birds: swans, eagles, vultures, gulls, herons, and my favourite, kingfishers. They’re a small bird, the size of my fist. They hover 20-30 feet above the water and will do a 90 degree dive straight in to fish. Daring. The other cool thing out here is the fog. The fog is mysterious, a visual analogy of risk, uncertainty, and the unknown.

One day, I took a photo of the Esquimalt Harbour fog and posted it on Facebook. Chicago playwright Mike McGeever commented on how Eugene O’Neill uses the fog as a barometer of risk: Long Day’s Journey into Night starts in the clear day. As the fog rolls in, Mary dissolves into morphine’s embracing haze. By the end of the play, the fog blankets everything and Mary is all but lost. As I started reading O’Neill’s earlier plays, I realized that O’Neill had been experimenting with the fog trope for at least twenty years, if not even further back. In Annie Christie, his 1921 Pulitzer winning play, there it is on the docks, the fog, full of uncertainty and foreboding, a sign that something will happen.

Risk theatre is meant to be an entertaining theatre, theatre that moves inexorably forwards towards the low-probability, high-consequence flashpoint. All the resources of theatre—language, character, plot, acting, directing—must be used to drive the action forwards. A sometimes overlooked resource to heighten the tension is the stage direction or the recurring device that signals: “Fasten your seatbelts, something is about to happen.”

These devices of stage directions are short gestures that go a long way. Any fans of German cinema here who remember Das Boot, a West German WWII movie from 1981 written and directed by Wolfgang Petersen? The film follows the crew of the submarine U-96 during the Battle of the Atlantic. A handful of times, before a major malfunction, the camera pans towards the instrument cluster and zooms in, for a split second, on a round dial. All the eye can see in this flash is that the dial is marked “Tiefenmesser” and it records the depth of the sub. The further to the right of the dial is, the deeper the sub is. Towards the extreme right, the dial goes into the red. Before the major malfunctions, Petersen will have the camera zoom in and show the hand going into the red. Inevitably, sometimes seconds, sometimes a minute after, an engine will explode, the sub will take water, they lose steering. This motif reminds me of O’Neill’s fog, an early warning sign that something will happen. In the script, it would be a line: “Zoom in on the bathometer.” This line is worth every word, and so much more.

While we don’t have a camera in theatre, this sort of motif can be embedded in stage directions: in can be highbrow, like O’Neill’s fog or Petersen’s Tiefenmesser, or it can be lowbrow like the headband in Rambo. Do you know the headband scene in Rambo?—before he gets into action, he has this red headband that he ties on. Now, whether highbrow or lowbrow, however, stage directions can communicate that something is about to happen. The motif can also be built into the dialogue. In Nicholas Dunn’s play The Value, one of the winners of the Risk Theatre Competition, the protagonist, a character with a sense that he was meant for something greater says, at three pivotal moments: “This … is what happens … .” When workshopping the play, we gave the line a beat and emphasized the deictic quality of this, that this this was pointing to a foreboding sense of a greater destiny revealing itself. The playwright, who is a basketball fan, encouraged Anthony Gaskins, the actor who played this character, to think of the line as something similar to the chalk toss ritual that basketball superstar Lebron James does before games. He chalks his hands and claps his hands together, puffing up the chalk into a cloud. The line became one of the focal points of the play, something spoken by a character to make the audience feel a sense of wonder and awe. It was very good.

The Exercise

In this exercise, the playwright will take an existing play—any existing play, whether by the playwright or another playwright—and identify an event that the audience expects will occur. It could a conflict between characters that leads up to a fight. It could be a relationship headed towards an inevitable breakup. It could be the moments where a brother and sister, separated by the contingencies of war for many years, run into each other again. After identifying this event that the audience expects will occur, the playwright will come up with a motif that heralds that something will happen. The motif is to be embedded in the stage directions. It could be a musical motif, a fog horn, the Tiefenmesser, a headband, the chalk toss. If not strictly a stage direction, it should be something that stands in as a stage direction: for example, the moments that the protagonist in Dunn’s The Value says: “This is what happens … .” This motif should be a device that can recur so times in the play before it becomes hackneyed. If it occurs once, the audience can’t tell the signal from the noise. Not yet. Twice the audience starts to catch on. Three times is perfect. Four risks becoming hackneyed.

6          Wong’s Exercise in Dramatic Indeterminacy

Great plays generate great controversy. Think of Sophocles’ Antigone: who is right—Creon, who represents the state, or Antigone, who represents tradition? Think of Ibsen’s A Doll’s House—is Nora justified in leaving her husband and children? Here’s a question: would you find Antigone more or less great if the balance inclined definitively towards one or the other? That is to say, if Sophocles had written a play where Creon is right and Antigone is wrong, would it be a better play or a worse play? And the same with A Doll’s House. Is Ibsen’s original play better, or version created in response to the censors who wanted the play to be morally definitive? How much of a play’s greatness comes from the controversy it generates, its ambiguity?

Controversy is possible because of indeterminacy. Critics who take Antigone’s side will pull out quotes that support her position and critics who take Creon’s side will find that Sophocles has given them backup as well. The French playwright Jean Anouilh famously put this principle to work in an adaptation of Sophocles’ play which was performed February 6, 1944 in Paris during the occupation. Both the Free French and the Nazis were in attendance, and both applauded the ending. The legend of this balancing act lives on whenever people talk about this performance.

If indeterminacy is desirable, how do we add it into our plays? This exercise came me to while reading biologist E.O. Wilson’s 1998 book Consilience: The Unity of Knowledge. He’s the scientist who cracked how ants communicate with each other. Ants have a remarkable ability to communicate with one another by using up to twenty signals to signal danger (get away), danger (come help), opportunity, and kinship. He hypothesized that they communicate through pheromones, or smell. The breakthrough involved biologists, mathematicians, chemists, social scientists, and artists. Biologists to understand that the ants have scent glands, mathematicians to model diffusion rates, chemists to isolate the molecules of scent, social scientists to model behavior, and the arts to create the narrative. To Wilson, every jump in knowledge involves the combination of unlikely disciplines. To jump to a higher understanding in playwriting, we’ll take a page out of Wilson’s playbook and bring together two unlikely fields:  mathematics, probability theory, philosophy, and playwriting. Hey, this is risk theatre. It’s different. New blood.

One of the great debates in Shakespeare’s Othello is whether Othello, from his own point of view, had enough information where he could reasonably judge whether he has been cuckolded. In other words, does he achieve what philosophers call moral certainty, moral certainty being that degree of probability so great as to admit no reasonable doubt? Modern statisticians use a one to five percent significance test as a threshold of moral certainty. That means, once they’re 95 to 99 percent certain that the result is not due to chance, they act; they publish their results. Until recently, physicists used a 0.3 percent significance test before they would announce a discovery. That means they’re 99.7% certain that the observation is the real thing rather than a fluke event. Recently, while searching for the Higgs boson, they upped the threshold to 99.99994%.

Does Othello achieve a measure of moral certainty? From a risk theatre perspective, this is the pivot of the play. Some say yes. Some say no. This indeterminacy makes the play great. With a formula called Bayes’ theorem, we will see how much of moral certainty Othello achieves. Bayes’ theorem gives us a way to revise probability estimates as new information becomes available. It’s really cool. First, tell me, based on Iago’s accusations, from the point of view of Othello, that is to say, if you were Othello, what’s the percentage chance you would think you’ve been cuckolded by Desdemona and Cassio when Iago first tells you about it? This number we’ll call the prior probability. We take into account Iago’s reputation for honesty and other hints in the play. We know from the play that it is not enough for Othello to act on.

Next, we take the new data: the handkerchief. From Othello’s point of view, what are the odds that he is a cuckold if he sees Cassio with it? Then, finally, one more piece of information, again, from Othello’s point of view: what are the odds that he is not a cuckold, should he see Cassio with the napkin?

P(C H): posterior probability Othello is cuckold after seeing Cassio with napkin
P(C): prior probability Othello is cuckold before the new information from the napkin test
P(~C): prior probability Othello is not a cuckold before the new information from the napkin test
P(H C): probability Othello is a cuckold, should he see Cassio with his napkin
P(H ∣ ~C): probability Othello is not a cuckold, should he see Cassio with his napkin

Here’s what the formula looks like:

                                                               P(H ∣ C)
P(C H) = P(C) * _____________________________________________________________

                                          {P(H ∣ C) * P(C)} + {P(H ∣ ~C) * P(~C)}

And here it is inputted with what I felt to be the probabilities::

                                                               0.90
0.989 = (0.50) * _____________________________________________________________

                                          {0.90 * 0.50} + {0.01 * 0.50}

Othello can be now 98.9% certain that he has been cuckolded. While this falls short of the 99.99994% percentage (a 1:3.5 million chance that the finding is due to chance) standard while searching for the Higgs boson, it’s in line with what modern statisticians would consider the threshold of moral certainty. The important thing to note, is that, playing with the numbers gives Othello different confidence levels. This fruitful ambiguity is what allow these discussions to happen. To me, that’s what makes this play fascinating: you could argue both sides persuasively. For a more detailed look at Othello, click here.

The Exercise

In this exercise, the playwright will go through Shakespeare’s Othello with an eye on how Shakespeare constructs probability in the play. Focus on Shakespeare’s language of moral certainty he uses in the play: “proof,” “overt test,” “thin habit and poor likelihoods,” “modern seeming,” “probal [i.e. probable] to thinking,” “exsufflicate [i.e. improbable] and blown surmises,” “inference,” “prove it that the probation bear no hinge nor loop,” “I’ll have some proof,” “living reason,” “help to thicken other proofs that do demonstrate thinly,” “speaks against her with the other proofs,” and so on. After analyzing the construction of probability, the playwright will assign probabilities to populate Bayes’ theorem to determine Othello’s degree of moral certainty, or lack thereof. Then the playwright will propose one way in which Shakespeare could have revised the play to increase Othello’s moral certainty and one way in which Shakespeare could have decreased Othello’s certainty. Finally, the playwright will conjecture the effect of increasing and decreasing Othello’s degree of moral certainty on the audience’s reception of the play. We use Bayes’ theorem in this exercise not because we require mathematical precision, but as a springboard into thinking about certainty and ambiguity.

In this exercise, the playwright asks: does Shakespeare get it right? Or can Othello be improved by making the guilt more or less certain? Would it have been better for Shakespeare to have created a play where certainty could have been achieved absolutely? Finally, after exploring indeterminacy in Othello, the playwright will relate to the group a way of applying indeterminacy into one of the playwright’s own plays. The purpose of this exercise is to find ways of generating controversy. Where there is controversy, audiences and critics will keep talking about your play. Where there is certainty, the debate quickly ends. That’s no fun. Indeterminacy is a great tool to captivate audiences.

7          Wong’s Exercise in the Price You Pay

Why is it hard to write tragedy? To this complicated question, I offer a simple answer: few dramatists have the heart to do to the character what they must: that is, complete obliteration. The tragic life is nasty, brutish, and short. Tragedy is an extremist art. Consider Oedipus in Sophocles’ Oedipus the King. All the poor guy wants to do is to lift the plague. He’s the king and it’s killing all his people. Look what Sophocles does to him. He strips him of his kingdom, takes away his crown, takes away his family, his dignity, and even his eyes. Is it not a bit much? Consider Lear in Shakespeare’s King Lear. King Lear is a doddering old fool. Look what Shakespeare puts him through. Is it not too much? When Lear says: “I will do such things— / What they are, yet I know not: but they shall be / The terrors of the earth,” I always wonder whether this is Lear or Shakespeare talking. I think the “terrors of the earth” is what Shakespeare does to Lear, not the other way around. The dramatist who can write successful tragedy is a scourge who calls down the terrors of the earth on unsuspecting protagonists.

In a conversation with Friedrich von Müller, German statesman, scientist, novelist, and dramatist Friedrich Johann Wolfgang von Goethe describes the tragic as the scenario which admits of no solution and no compensation. The loss must be terrible, absolute, and irrevocable. The second the tragedian offers any sort of compensation—a sort of victim’s services package—to the wounded protagonist, the tragic disappears.

Goethe himself could not rise to the occasion. At the last hour, Faust is saved. So too Egmont, though he dies, he finds compensation knowing that his death will incite the revolution that frees his people. As a result, he could not attain the heights the big three of Aeschylus, Sophocles, and Euripides, and the big two of Marlowe and Shakespeare reached. Goethe knew it too. He just couldn’t make himself do it. He didn’t have the heart. “The mere attempt to write tragedy,” he said in a letter to Schiller, “might be my undoing.”

In the last century, Arthur Miller was able to rise to the challenge in All My Sons. I am sure when Miller told his friends what he was working on, he wasn’t saying: “I drive a horrible man to commit suicide for killing twenty-one pilots,” but rather said, “I drive the best of fathers to suicide for doing what he thought was best for the ones he loved the most.” The former would have been too easy. The latter not many can pull off. The best sign you’re onto true tragedy is, when you tell your friends the plot, their eyebrows go up as in: “You’re kidding me, you did what to your protagonist?” For a more detailed look at All My Sons, click here.

One way to make it easier to inflict the terrors of the earth is to think of tragedy as a weighing mechanism. You put on one scalepan what the protagonist wants the most. In the case of Macbeth, it’s the crown. In the case of Joe Keller, it’s a business to hand down to his sons. In the case of Oedipus, it’s to raise the plague. On the opposing scalepan, you place what the protagonist must give up. In the case of Macbeth, it is compassion, or the milk of human kindness. In the case of Keller, it is his integrity. In the case of Oedipus, it is his precocious innocence.

Tragedy becomes terrible—and terrible is a good quality in tragedy—when both sides of the scale are heavy. Think of tragedy as a weighing mechanism for human ambitions and values. Characters must pay the price to obtain their wants. This idea of tragedy as a valuing mechanism I got from the economists and their idea of opportunity cost. Opportunity cost is the idea that, in choosing, there is a cost: one loses the next best alternative, the next best alternative is forsaken in selecting the best alternative. One cannot have cake and eat it too. One cannot have $10k cash and 25 shares of GameStop stock, one has either $10k cash or 25 shares of GameStop. When one chooses one or the other, the second choice is lost and, by choosing, one falls under the sway of a higher power, either towards reward or ruin. In risk theatre characters can have either a golden calf or a God.

How does this exercise help to unleash the tragic spirit? By looking at tragedy as a weighing mechanism, it becomes easier to inflict the terrors of the earth on unsuspecting heroes because, by looking at the exchange mechanically, you depersonalize the transaction. You’re not doing this to a nice person; you’re merely balancing accounting identities.

In economics, an accounting identity is just something that is simply true. The simplest one is probably: Assets = Liabilities + Equity. A tragic identity can be expressed similarly: Assets = Liabilities + Opportunity Cost with Assets being what the hero wants, Liabilities being the questionable things the hero has done along the way, and Opportunity Costbeing the good things the hero has given up along the way. By looking at the exchange though the eye of economics, you depersonalize the terrors of the earth. You become an economist, an accountant. It’s hard to lay Willy Loman off. He’s worked for you for a lifetime. He’s a person. But if you look at him mechanically, look at him like a businessperson, like an accountant or an economist, Willy’s just another line item. It’s easier to do to him the terrors of the earth. This is perhaps the hardest of the exercises. I don’t know if playwrights, so full of humanity, compassion, and the kindred spirit have what it takes to engage with the dark side of the force.

Economics is called the dismal science because it confronts the problem of scarcity. Tragedy too, is a world of shortages. There are too many kings and too few crowns. Tragedy is the dismal art. The dismal science and the dismal art: it is a match made in heaven. The opportunity cost concept in the economic sciences leads to tragic entanglement in the dramatic arts.

The Exercise

In this exercise, the playwright will, in 250 words, present the cost of opportunity. Take a character you’ve created, and frame the choice they must make in terms of opportunity cost. What do they want? Is it a crown, shares of GameStop, or a Broadway production? What are they willing to give up for what they want? Is it the milk of human kindness, integrity, or love? And what will trigger the character to have to pay? In All My Sons, Keller wants a good life for his sons. To get his sons the good life, he gives up his integrity. The trigger happens when he discovers that the twenty-one pilots who died because of him were, in a way, all his sons too.

In this exercise, you will find out if you have what it takes to do to your characters the unspeakable things that Miller did to Keller, that Shakespeare did to Lear, that Sophocles did to Oedipus. This, of all the exercises, is perhaps the hardest. Even Goethe was not up to task. It requires a rare and beautiful ruthlessness to cast your beautiful creations into the pit.

There you have it: seven playwriting exercises to help you put more risk, chance, and fire into your writing! Remember, when life gives you risk, build a theatre of risk. If you build it, they will come.

You can find me on Twitter, my handle is @TheoryOfTragedy. You can also find me on Facebook  at https://www.facebook.com/edwincharleswong and LinkedIn at https://linkedin.com/in/edwinclwong. The Risk Theatre Competition page is at https://risktheatre.com and you can also find competition updates on the Facebook “Risk Theatre Modern Tragedy Competition” page. Don’t worry about taking notes, all the exercises will be posted on my blog at: https://melpomeneswork.com/workingtitleplaywrights/. Follow my blog, there’s always something new and interesting coming out. Go to https://melpomeneswork.com/ and enter your email under “Subscribe to Blog via Email.” Feel free to share the blog link with all the exercises with all your colleagues and ask your local library to make my book available, it is a terrific resource! If, down the road, you find these exercises have helped you, write me, I’d love to hear from you and I’m easy to find.

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Don’t forget me, I’m Edwin Wong and I do Melpomene’s work.
sine memoria nihil