Stainless: 1. Perspective

This is something that's surely occurred to me before, in my previous trips to the Philippines, but I'm only noticing this now. It has something to do with perspective. It's like this. Guam, in sheer size and area, is much smaller than the Philippines--I think it is smaller then even just Luzon, the northern island--but in some way it doesn't feel smaller. I look around in Guam and I always see green and blue--the plants and the sky. I am always cognizant of the space not just in my vicinity at the moment, but of other vicinities. When I drive to work and go on the Route 16 overpass, I see Micronesia Mall from far away, and the ocean and the hotels beyond that. When I go to Kmart, I see not just Kmart but the jungles around Kmart and the cliffline upon which Chalan Pasaheru, Route 10A, was built. When I go to the beach in Tumon, not only do I see the hotels lining the beach view, but also Tanguisson and Two Lovers' Point, from miles away.

The same is not the case in Manila. You take the jeepney to Lawton, and all you see are the other sweaty faces riding with you on that jeepney. Try to peer outside the jeepney's open windows, and what you'll see are the facades of houses, businesses, and the people inhabiting the street right at that moment. You walk the street to RFC, and all you see is the street. Unless you're right at Real Street, you won't see that Jollibee or McDonald's that you know is just a minute's walk away, and even if you did, chances are you're looking at the large signs these businesses had to erect in order to compete with all the other signs all around them. In other words, you can't see Espana from Lawton, and you can't see E. Rodriguez from Espana.

Now, am I saying that this is a bad thing? On one hand, I do fear that the military buildup that is being planned for Guam may have the effect of "closing in" our vistas so that our perspectives cease to be open. Already I observe that once those four towers at Oka are built, they will be an inescapable sight for miles around, even as you're going towards the intersection between Routes 1 and 10A on that final stretch of road near Kmart. Now guess what you will see when you are standing at the Hospital parking lot, near the towers. That's right, the towers. Just the towers. Even since before the towers were built, you couldn't see the ocean from the GMH parking lot anyway, even if you tried, but now, with the towers in the way, you wouldn't even consider the possibility.

But perhaps this "closed-ness" that makes the very messy but functional public transport system in Metro Manila possible. Because the only landmarks available to them are the ones in their immediate vicinity, Filipino commuters soon learn to recognize them even within the confines of a jeepney where you have to hang down your head to see out the window. Perhaps they do not see their daily commute as a two-dimensional map, but rather as a linear ordering of landmarks that they consult as they ride the tricycles, jeepneys, and buses in their route. Because their vistas are closed, every intersection comes to look different. I think back to the time I dropped off a friend in Liguan Terrace. I dropped her off all right, but it took me 30 minutes of driving around to realize how to get back out to Marine Corps Drive. Why? The houses all looked the same at night, and the only landmarks I could find were faraway ones, in this case the tall trees that grow from some of the houses. Since the trees were far away, they look similar even when viewed from entirely different intersections.

I decided that an amorphous, market-driven public transport system would not take off in Guam, simply because of our lack of immediate (as opposed to large and faraway) landmarks. I'm pretty sure you've heard of Bear Rock, but what about Pacific Plaza? Would you be confident in getting dropped off at Pacific Plaza if you knew that there was another place called Pacific Place? (There is, by the way.) What about Baltej Pavilion? Sounds familiar, right? But where is it, and how could I use this information to get where I want to go?

This is when I realized that the tension between open vistas and closed vistas is a tension between the picturesque and the efficient. In fact, I did not set out to write this post the way you are reading it; I was supposed to say something about how Filipinos compensate for this lack of perspective with open minds. But that seems rather New-Agey and quite like that bit about the white woman Margaret Mead telling the Pacific Islanders from the outlying islands what they are really like in her book when really, in the opinion of the islanders, she really doesn't know what she's talking about.

So I am glad I instead talked about public transportation, as this is a topic that engages both my political and mathematical proclivities. For many reasons, Guam will greatly benefit from a public transport system. But how will it be accomplished? Perhaps this talk about getting the commuter thinking about his or her route as a series of landmarks in closed vistas might help quite a bit.

Thoughts?

Thanks for reading.

Song in my head: Hayley Williams, B.O.B., and Eminem, "Airplanes".

Deadline

Now that it's August, it's crunch time for my projects. I gave myself until the end of this month to finish my summer projects. If I don't finish any of them, I'll shelve them till I graduate.

A few weeks ago, my order for Euclid's Elements arrived, and I went to work trying out the constructions for myself. It's very enlightening to see the way Euclid worded certain things. One of the biggest realizations I had was that Euclid's text is not as rigorous as I first expected.

When I read Proposition 4 in Book I, for example, he says that if the three sides of one triangle are the same length as the three sides on another triangle, then the two triangles are equal. Now that sounds a lot like the SSS Postulate, doesn't it? But the SSS Postulate is a postulate, not a theorem to be proved. So I looked at how Euclid proved his proposition, and surprise! he says something to the effect of, "Well, look at them! If you lined them up they'd match up."

So with this in mind I continue to try out the propositions, thinking, "So hey, we've gotten better at this stuff over time." What's stopping me from doing the same?

Thanks for reading.

Song in my head: Jamie Foxx feat. T-Pain, "Blame It".

Sucker

Every so often the question comes up and is asked of me: How come you didn't leave Guam for college? The answer is a bit more complex than "Because it would've been cheaper here than anywhere else I would've liked to study."

When I talked to people back in high school and the conversation turned to what the plans for college were. Almost invariably they were to move away somewhere else to study. When I asked why, the replies were varied, but they were along the lines of:

• UOG might not stay accredited.
• There are too many problems here.
• I'm sick of being on this rock.
  
• I wanted to experience life without my parents for a while.

My opinion only, of course, but I suspect that reason #4 could be a hidden agenda backing up the other three.

But I turned my attention to Reason #2: there are too many problems on Guam. I was fortunate enough to have already have some rudimentary understanding of how the world worked by the time our family moved here, and I realized that the problems were indeed numerous. The schools are crowded and the children are being left behind, the local government seems more inclined to keep paying their employees than actually fixing the problems, crime is not addressed correctly, and almost every attempted "solution" to any of these problems has been a band-aid fix instead of a systemic realignment of priorities that would have been much better.

In my opinion, however, the last thing to do would be to leave. Each person who leaves is one less problem-solver or complainer that would be left here. In fact, the very reasons we would like to leave are the very reasons we shouldn't. I felt that I could have a hand in the solution of some of these problems we are facing, and that's why I ended up staying.

So here we are, almost 8 years later, and it's true that I have slacked off quite considerably from my once lofty goal. But the goal still stands. Once I graduate I will become the math teacher my high school teachers and college professors all blame for the lack of mathematics aptitude in Guam school children. And in some unseen small part, I will make a difference.

Song in my head: Nickelback, "Far Away".

Twenty questions

The strangest insights can sometimes come from the most ordinary situations. Earlier this week, as I was spending some time with the Imaginary Friends, someone mentioned that he was trying to defeat an online "20 Questions" program by saying no to the questions and then giving a wrong answer when asked for the thing. I responded that maybe since the program was online, there would be an "averaging" system in place that ensures that if the majority of players were sincere with the game, the wrong answers would eventually be smoothed over.

That's when it hit me: Twenty yes-or-no questions amounts to 20 bits of data; by asking twenty yes-or-no questions, you can differentiate among 2^20 or 1,048,576 different things! (Actually, when I got the insight, I erroneously thought that there were less than 2^20 particles in the Universe. Exponents were not my thing... ^_^)

The key proposition, I think, in the twenty questions game is that the million or so things you can think of should all inhabit some sort of domain. In my friend's case, the domain was anime characters. I'm sure there are a lot of anime characters on all anime and mangas, but are there a million?

What I took away from this thought process was that quite contrary to my intuition, something as paltry as just twenty questions can hold so much information about an object. That is the mystifying effect people get when the program correctly guesses the object or character they are thinking of.

Thanks for reading.

Song in my head: Nickelback, "Photograph".

That's all she wrote

Well, look at what we have here... a full set of 17-syllable verses. The work now begins on the rest of the book.

I am enjoying a spurt in creativity and productivity. I don't know why. Today in Foundations class one of my classmates presented a proof of the law of cosines, and before that the professor told us to ask one question after the presentation. After the proof was done, I asked, "OK, so I can see a squared, b squared, and c squared, but can you show me negative two a b cosine theta?" Everyone stopped, and my friend was not able to answer, and then the professor asked me if I could construct it. When I paused, they moved on to a more interesting question. I, however, continued to be intrigued, and I have been working on getting the answer to my own question until now, almost a half day later.

This inspiration could not have come at a more opportune time... there are only two weeks left in classes at Colleague, and I am once again riding the cutting edges of my grades, I am sure.

Thanks for reading.

Song in my head: Queen, "Love of My Life".