Archive for the 'The Brain' Category

Question of the Week

Monday, January 7th, 2008

Scott Malia of The Shakespeare Blog poses a question:

While Shakespeare appreciation might be near universal among writers, it begs the question of comparison. Who among today’s writers is what might be considered the twenty first century answer to him?

Malia goes on to make a compelling case for Aaron Sorkin. Look, Shakespeare is so much of a product of time and place, as well as genius, that there never really can be another. However, the same genius can manifest itself distinctly within any particular culture. Virginia Woolf wrote a famous essay about what would have happened if Shakespeare had had a sister with equal gifts to his. Can we imagine a Shakespeare born in our time? What would he do? Who would he be? I posted my own response:

I’m a huge fan of Aaron Sorkin, but I would instead nominate David Mamet. Writing for both stage and screen, Mamet has elevated the art of the dramatist to create a body of work that simulaneously embodies and trandscends his contemporary culture. His use of language has the natural credibility of truth, while at the same time making use of the subtle artifice of poetry. His subject matter ranges from insightful cultural criticism to the basest elements of humanity. If anyone from our time qualifies as today’s Shakespeare, I vote for David Mamet.

Anyone else have an opinion?

Who is today’s Shakespeare?

Conundrum: Solved Games

Tuesday, December 11th, 2007

A game is considered to be “solved” when all of the possible moves have been mapped out in a mathematical tree and thus the perfect set of moves can be determined regardless of an opponent’s play.

Tic-Tac-Toe is a pretty easy one. You solved this as a kid. There are three opening moves – corner, edge, center. And then you work from there.

Connect Four was solved in 1988. That’s because those new-fangled computer thingies were starting to get some real power behind them. If you want to play Connect Four against the best opponent you’ve ever played in your life, check out the applet on John’s Connect Four Playground which is programmed to play flawlessly, based on a database of pre-determined best moves. But if you go first, and play just as flawlessly, you can beat it.

Checkers was solved this past April by researchers from the University of Alberta. You can play against Chinook, which will play flawlessly, but the best you can hope for is a draw. It doesn’t matter how amazingly good you are at checkers. You will never win. For me, there’s something a little disturbing about that.

Could chess be next? There are an incredibly large number of possible games, but it must be finite. And if it’s finite, then the tree must conceptually exist even if nobody has been able to come close to mapping it yet. Some see chess playing ability as intutive and creative, and not merely a number cruching process. But if number crunching continues to get better, it might evolve to the point where we get a chess-playing program as unbeatable as Chinook.

To be clear, we’re not talking about a really, really good chess-playing program. We have that now. We’re talking about a program that can access an exhaustive database of pre-determined best moves in order to ensure the most favorable outcome possible.

What do you think?

Will computers ever solve chess?

Conundrum: Five for Five

Tuesday, November 20th, 2007

Last week’s Conundrum about kings named Henry reminded me of a Shakespeare final I gave about five years ago. This was for an advanced graduate course on Shakespeare, and I actually decided to give the final exam as a takehome. What’s more, the first five questions were True or False. Surprisingly, only two students got all five questions right. Sounds like quite a Conundrum to me…

TRUE or FALSE?

1. Twelfth Night is named after a holiday in December.

2. Gloucester (in King Lear) has two sons; the bastard one is named Edmund.

3. Katherine of Valois was wife to Henry V, mother to Henry VI, and grandmother to Henry VII.

4. Based on evidence in Hamlet, it is reasonable to assume that Shakespeare may have read at least some of the writings of Sigmund Freud.

5. The title of The Merchant of Venice refers to a Jewish merchant named Shylock.

I should point out that the five questions combined were ten percent of an exam that was ten percent of the final grade, so these questions alone were not enough to affect anyone’s final grade. I don’t believe in trying to trick students, but I felt that a takehome exam deserved a little extra bite. The rest of the exam was short answer and essay and was very straightforward.

Can anyone answer all five questions correctly?

The Knowledge Problem

Tuesday, October 30th, 2007

Ro has a thought-provoking post about the relationship between learning something and knowing it. Before I address that question, it might be worth taking a moment to consider what it means to know something.

What do we mean when we say we know something? For the individual, it might be the same as saying we unequivocally believe it. But is that enough? If Iago believes his wife has been unfaithful, and he has no evidence to support his belief, does that count as knowledge? Probably not.

Socrates argued that a belief must be justified to be considered knowledge. Othello might say that he knows his wife Desdemona has been faithful, because he has reason to believe in her love and trustworthiness. His belief is justified. But that doesn’t necessarily make it true, and so that probably doesn’t count as knowledge either. Knowledge must be both true and justified.

When we say someone else knows something, that might mean that they believe it and we believe it too. If Iago uses manufactured evidence to manipulate Othello into believing that Desdemona has been having an affair with Cassio, Othello can say that he knows that Desdemona has been unfaithful, because his belief is justified by evidence that has been presented to him. But we would not say that Othello knows it. He still believes it, but we do not.

Which brings us to the Gettier problem. Imagine that while Othello is being manipulated by Iago, Desdemona has been secretly having an affair with the Duke. Othello makes the statement that he knows Desdemona has been unfaithful. Does he know it? This time, his belief is both true and justified. And yet Gettier would not count this as knowledge, because Othello’s belief, while true and justified, is based on false evidence. He has no knowledge of the actual affair. Robert Nozick would point out that if the statement weren’t true, Othello would still believe it.

Now let’s go back and look at the question originally posed by Ro, which has to do with the relationship between knowledge and learning. If I say I learned something, that means I know it, which means I believe it. If I say you learned something, that means you believe it and I believe it. For example, President Bush got into a bit of trouble for including the following in the 2003 State of the Union address:

The British government has learned that Saddam Hussein recently sought significant quantities of uranium from Africa.

By citing the British government, Bush’s speechwriters sought to insulate the administration from claims they already knew were false. But by using the word “learned” they implied the word “knew” which means that Bush was essentially saying that he also believed that the statement was true. It was later discovered that the statement was not true, and that the Bush administration was aware it was not true at the time the speech was written. Saying “The British government has learned” did not provide the out they were hoping it would.

Ro’s other question was whether knowing something implies that one has learned it. A strict empiricist might say yes, but even John Locke allowed for some a priori knowledge gained through reason alone. The classic example is from René Descartes: Cogito ergo sum. I think, therefore I am. Is this knowledge? Was it learned?

Finally, I can also attest that it is possible to have learned something and not know it. I demonstrate this condition several times every day.

Arts Education

Sunday, July 29th, 2007

The Center on Education Policy released a disturbing new study this week, measuring the effects of No Child Left Behind:

The report finds that approximately 62% of school districts increased the amount of time spent in elementary schools on English language arts and or math, while 44% of districts cut time on science, social studies, art and music, physical education, lunch or recess.

Now, I’m pretty much appalled by all of the cutbacks, but I’ll leave the bulk of it to ScienceTeacher.com, SocialStudiesTeacher.com, and LunchTeacher.com. I’m ShakespeareTeacher.com, so I want to talk about arts education.

(And let’s make no mistake – the extra time being spent on ELA isn’t being spent on literature. It’s being spent on test prep, and more test prep.)

Arts education is absolutely essential for students preparing for the world that we’re currently living in. With the image continuing to gain dominance over the written word, people who can demonstrate artistic ability are highly marketable in today’s economy. From graphic designers to documentary filmmakers, those who can master today’s tools of communication are able to command a wider audience and expand their range of communication. In the connected world, this is real currency.

And even if all of that weren’t true, the arts teach us how to identify problems and solve them with creativity and discipline. Those skills help us in any endeavor.

I came across a website for an artist named Jen Stark, who creates sculptures from construction paper that won’t help anyone pass a reading test any time soon. But they bring beauty into the world, which is worth at least a link from my blog. Take a look at her work, and tell me she didn’t have to develop some pretty sophisticated math skills along the way.

Or take French artist Huber Duprat, who recruited caddis fly larvae, who typically create protective shells out of silk and their surrounding materials, and placed them in an environment of gold flakes and precious gems. The result is a combination of art and science that boggles the mind. Click the picture below to see the video.

Or take a look at the Universcale by Nikon, an application of the mathematics of scale to allow human comprehension of the natural universe, and tell me your appreciation of it isn’t primarily aesthetic.

I wonder what Leonardo DaVinci would have thought about eliminating arts education to teach math. What would Shakespeare have thought about eliminating arts education to teach literacy? What would Descartes say about eliminating science to teach math? What would Hemmingway think of eliminating social studies to teach literacy?

Reading and math are important skills. But even if an educational system were somehow able to acheive 100 percent literacy and numeracy, and nothing else, it would still be a failure.

Question of the Week

Monday, July 23rd, 2007

I had a dream last night. It was the morning after the primaries for the 2008 presidential election, which in my dream were all held on the same day. I had gone to bed early and missed the results, so upon waking I checked online to see who had won.

Surprisingly, the Democratic nomination went to John Edwards, the charismatic Senator from North Carolina who campaigns primarily on the issue of poverty. He hadn’t been my first choice, but I was somewhat pleased to see him win the nomination anyway and I looked forward to the possibility of his winning the presidency.

Even more surprisingly however, the Republican nomination went to Jonathan Edwards, the eighteenth-century American revivalist preacher, known primarily for his fire-and-brimstone sermons.

Turning on the television, I was dismayed to see that the media was entirely focused on the fact that both nominees had the same name. They had an expert on doing a statistical analysis of names of politicians to see what the odds of this happening were. I was frustrated, because I felt like the top story should have been that the Republicans nominated a Bible-thumping Puritan from the eighteenth century. Didn’t that concern anyone?

I went into the office – in my dream I worked in an office – and all of my co-workers in this office-type place were absolutely giddy with the coincidence of the two candidates having the same name. I noted that the Republican Jonathan Edwards was a dangerous religious zealot who would destroy all of the freedoms we currently enjoy, but – of course – nobody paid me any mind.

Even so, I woke up more amused than frustrated. And today, I learned that the debate tonight would feature questions being asked by voters via YouTube. So of course, that’s now the story far more than anything that was said during the debate. Can I dream ’em or what?

Anyway, the Question of the Week was suggested by Lee after reading that the ’92 Vice Presidential Debate was my favorite political debate ever. As always, free to answer the question, or just continue the conversation.

What was your favorite debate ever and why?

Question of the Week

Monday, July 16th, 2007

How long do you think it will be before science is able to develop a computer sophisticated enough to emulate the complexity of the human mind, and what would be the ramifications of such a computer?

Shakespeare Anagram: As You Like It

Sunday, June 17th, 2007

I did a history and a tragedy, so now I have to do a comedy.

From As You Like It:

All the world’s a stage,
And all the men and women merely players:
They have their exits and their entrances;
And one man in his time plays many parts,
His acts being seven ages.

Shift around the letters, and it becomes:

My sane ashen melancholy gentleman harshly says an existential narrative wellspring and, with a serene rhythm, anticipates the modern stage-based development ideas.

I Have Had A Dream

Saturday, May 5th, 2007

I gave a workshop today on incorporating Web 2.0 technologies into literacy instruction to improve student writing in the one-to-one classroom. A one-to-one classroom is one in which every student has a laptop with Internet access. That means that each learner has the ability to interact personally with a dynamic network of learners, both within the classroom and in the larger community.

This workshop was done in the shadow of a short-sighted article in the New York Times that dealt only with the problems of the one-to-one classroom, and none of the potential.

What these educators seem to be missing is that this is the world our students are living in right now. Case in point: FanFiction.net. This is a website where people can go and post original fan fiction. Thousands of our students are there right now, posting original stories, getting feedback from peers, and revising their work to make it more effective. Nobody’s asking them to do this; but there they are, using 21rst century tools to hone their writing skills. And if these are the skills we want students to learn in school, how can we not take advantage of every opportunity to bring the same tools into the classroom?

Anyway, I usually enjoy these workshops, but I was sick all day, so I was eager to come home, take some cold medicine, and go to sleep.

In my sleep, I had a dream that I was in France, around the turn of the nineteenth century. It was just after the Revolution, but before Napoleon was installed as Emperor. My guide was showing me around, and – in typical dream-like anachronistic fashion – he wanted me to see his radio. There was an earpiece and a microphone, both in the style of the period (if you can imagine what that would look like).

I put on the earpiece and heard a radio host talking about John Locke. I repeated the last line of what he said to indicate to my guide that I could hear what was being played, and suddenly the voice said “Is someone there?” I froze for a moment, unsure if he was talking to me, and the voice said “I think someone’s there. What’s your name?” “My name is Bill,” I said, into what I now realized was a microphone. The voice responded, “Welcome, Bill.”

My guide said that there were similar radios in homes all over the country and anyone could participate. I was impressed, but a little nervous about being put on the spot. “This is my first time doing this,” I stammered, and the voice said “Well, I’m glad you’re here. We no longer depend on the government and its puppets to provide our radio content. This is the radio of the people, and we can say anything we want.”

And that’s when I realized that this guy wasn’t the host of the radio show. He was another guy like me with a microphone. And if more people joined up, we could have an extended conversation, and that would be the show. This would truly be a new paradigm.

I woke up, still woozy from the cold medication, but I rushed to the computer to record my dream. My subconscious mind had conflated the changes in Europe during the Enlightenment with the current evolution of Internet technologies. During the Enlightenment, people started to perceive government less as an absolutist top-down sovereign who rules by divine right, and more as a function of citizens who can actually take part in shaping their own polity. Right now, a similar transformation is taking place in the way we think about the Internet – less as a one-way, top-down source of information, and more as an interactive community of which we all can be a part. Nice analysis, subconscious mind!

As we think about these new technologies, and how they might reshape education, if not society as a whole, we should remember that they are more than just fun new toys. They are a revolution.

Conundrum: Two Boxes

Tuesday, April 17th, 2007

Researchers in Germany are working on a way to predict the intentions of human subjects by observing their brain activity. Damn!

For some reason it’s a little disturbing to me that something as personal and ephemeral as an intention can have a physiological manifestation that can be measured. Or maybe I’m just disturbed that they are now starting to measure it. What new “mind reading” technologies might be developed from this science? Could it become prosecutable to merely intend to commit a crime? Intent is already used as a legal concept, and attempted murder is considered a crime, even if nobody is hurt as a result. Could market researchers measure the intent of potential consumers? Will we one day have little handheld devices that can measure intent at a poker table or when our daughter’s date arrives to pick her up?

It all reminds me of a thought experiment made popular by Robert Nozick, which will be this week’s Conundrum. Before we get to it, though, it might be helpful to consider another thought experiment known as Kavka’s Toxin.

Let’s say I offer you $100,000 if you can form an intention to drink a particular toxin. This toxin will make you violently ill for about five or six hours, after which you will be perfectly fine. You’d drink it for the money, but you’re not being asked to drink it. You’re being asked to intend to drink it. After you have the money, you are free to change your mind and not drink it. The question is, can you actually form a genuine intention of doing something unpleasant that you will have no motivation to do?

Turn that one over in your mind for a few moments before moving on to this week’s Conundrum, Newcomb’s Problem.

Imagine there are two boxes, Box A and Box B. You will have the option of choosing to take both boxes, or to take Box B alone. You will keep what you find inside. Box A is transparent and contains one thousand dollars. Box B is opaque. A super-intelligent alien scientist with a proven track record of accurately predicting human behavior has analyzed you and has secretly made a prediction about which you will choose. If he believes you will choose Box B alone, he has put one million dollars inside. If he believes you will take both boxes, then he has left Box B empty. Which do you choose?

The super-intelligent scientist has run this trial with several hundred other humans, and has made a correct prediction each time. The only people who have ended up with the million are the ones who chose Box B alone. On the other hand, our alien friend has already made his prediction and left. Your choice can no longer affect the amounts that are in the boxes. You may as well take them both, right?

Fans of game theory might recognize this as a variation of the Prisoner’s Dilemma. Game theory would likely suggest that you flip a coin, so we’re going to disallow that option. You must rely on reasoning alone.

Unlike last week’s math puzzler, this one doesn’t have a right or wrong answer. It’s a thought experiment designed to test your conceptions of free will vs. determinism.

Or as Nozick put it:

To almost everyone, it is perfectly clear and obvious what should be done. The difficulty is that these people seem to divide almost evenly on the problem, with large numbers thinking that the opposing half is just being silly.

It will be interesting to hear how people answer this.

Will you take both boxes, or Box B alone?

Feel free to answer the question, or continue the discussion of any of the topics covered above.