Saturday, April 26, 2008

IB World Lit 1 example

I like my topic. I don’t remember what I wrote. I don’t WANT to remember what I wrote. You should definitely read Pedro, though, it’s fucking fantastic.



In novels as sensual as Pedro Páramo and Dom Casmurro, it is not surprising that the authors employ a variety of literary techniques and imagery. Amongst them, not as prominent as the sense of hearing but still salient, is the sense of touch. I will examine how narrators in Dom Casmurro and Pedro Páramo use the sense of touch to reveal their inner motivations and feelings about a situation or character.

Touch can symbolize relationships. When two characters touch shoulders in Pedro Páramo, for example, this seems to show siblinghood. Juan and Abundio walk “side by side, so close [their] shoulders [are] nearly touching” (5). Juan and Abundio turn out to be half brothers. They share a father and are nearly brothers, just as their shoulders nearly touch, but their different mothers create both a genetic and physical gap between them.

Later in the story, Donis’s sister “[goes] to stand beside him, leaning against his shoulder” (53). Their shoulders do not merely touch, which would confirm that they are siblings; she leans against Donis, suggesting their relationship extends beyond a familial one. Although this has already been strongly implied, Donis’s sister leans against Donis before asking Juan whether he truly understands the relationship between her and Donis. Rulfo has already revealed that they are incestuous, but the action coupled with her question shows that neither the reader nor Juan realizes fully the nature of this relationship.

Like Rulfo, Machado de Assis uses one way of touching, in his case, men brushing against Capitu’s arms, in different situations. This results in different repercussions. Capitu’s shapely arms draw attention whenever she and Bento attend balls. However, during the first night they are merely admired and when other men touch her it seems incidental, innocuous: “however much they might touch other frock coats” (183). Bento mentions this touch fleetingly. His focus is on Capitu’s arms, not male attention. On the second night, the men are crasser, going from admiring to staring, “almost begging for them, and brushed their black sleeves against them” (183). Bento lingers more on the males’ touching and less on Capitu’s arms, like he is more concerned about the attention his wife is garnering than the object of the attention. The details he notes also speak of his uneasiness. Whereas during the first night, the men wear gentlemanly frock coats, the second night they are dressed in black, which can symbolize evilness.

As a matter of fact, detail is used in both Dom Casmurro and Pedro Páramo by the narrators to reveal their feelings about other characters. When either narrator describes the touching at length, or notices even the smallest aspects of it, he shows how important this touch is to him. As young Pedro Páramo and Susana San Juan fly kites together, Pedro urges, “‘Help me, Susana.’ And soft hands would tighten on [his]” (12). The fact that Pedro notes Susana’s hands are soft suggests that he harbours a liking for her, for to notice her soft hands, he would need to pay more attention to her hands than the string he is letting out or the kite he is flying. This action is also indicative of their relationship. Susana is Pedro’s lifelong love, and though she enjoys his company and likes him, it is only as a friend. Thus, while she is simply happy to fly kites with him and tightens her hands around his only to help him let out more string, Pedro takes note of how she acts around him and treasures her harmless actions. They appear much more meaningful to him than to her.

Machado de Assis uses details in very similar circumstances. As Bento combs Capitu’s hair, “[his] fingers [brush] her neck, or her back with its cotton dress: it [is] a delicious sensation” (64). He does not simply concentrate on the task at hand, he takes pleasure in accidental touches, no matter how minor, just like Pedro. While this can show the reader his sexual inexperience, as he has not seemed to have had a romantic encounter previously and thus enjoys a seemingly chaste activity, it also shows his affection for Capitu. If Bento was combing the hair of another girl, he may not notice such minor details. The contact may also not feel as delicious. He also touches Capitu although it is not necessary to do so. Even if this is accidental, he does not make a move to shy away from it, suggesting that he wants to touch Capitu and likes her in a more-than-platonic fashion.

The fact that he brushes her hair is also significant. Hair is considered a symbol of femininity, especially long hair. Combing her hair could put Bento in a position of power. In fact, in the chapter after he combs her hair, Bento “[utters] these proud words: ‘I am a man!’” (67). Hair is important when looking at their history, as well. When Bento thinks about his and Capitu’s past, he remembers how she “ran her hand through [his] hair, saying she thought it was very beautiful” (24). However, he never reciprocated. By touching him so, and through other gestures such as counting his fingers, Capitu demonstrates her affection for him and shows that she is aware of her fondness. Bento remains oblivious, though, as shown by his lack of response. After he realizes that he too feels warmly about Capitu, he asks to brush her hair, proving both to himself and Capitu that he is finally aware of his feelings.

In Dom Casmurro, touch can reveal character traits. Ezequiel is shown to be a warm and affectionate boy: “Ezequiel hugged [Bento’s] knees, stood up on the tips of his toes, as if to climb up and give [Bento] his usual kiss” (229). He is comfortable with touching his father, and does so regularly to illustrate his love. This can be contrasted with José Dias who, even when everyone else is hugging and kissing Bento farewell, remains “composed and grave” (98) and does not touch Bento at all. José Dias is not cold, but occasionally his respect and charm seem debatably genuine. Moments such as when he does not hug Bento farewell add on to this idea.

In Pedro Páramo, Juan Preciado does not touch the residents of Comala when he arrives. He cannot; they are ghosts while he is still alive. Donis’s sister touching his shoulder is the first time touch occurs in Juan’s Comala. She is also the first living person he encounters. Although there is some disagreement over whether Juan actually died when “[his] soul turned to ice” (59), the fact that Dorotea is dead and lying in his arms, touching him, suggests that if he can touch the dead, then he is dead also.

Moments of change are expressed through touch as well. After Bento sees that Capitu carved ‘Bento and ‘Capitolina’ into the wall, their hands “[took] hold of each other, clasping each other, melting into one another” (28). Whereas previously mutual touching was done in childish jest, and Bento was oblivious to Capitu’s attraction to him, now they touch each other with the intention of holding hands like lovers. “Melting into one another” (28) can also show how they are thinking as one – they both feel the same way toward each other. When Donis leaves, Juan wakes up beside Donis’s sister. The majority of the tactile imagery thus far has been brief and subtle, but here Juan can “feel the woman’s naked legs against [his] knee, and her breath upon [his] face” (55). After being unable to touch the ghosts, Juan is all of a sudden pressed against a woman, a gesture that stands out from previous paragraphs due to its straight-forwardness. For Juan, it appears that the physical contact is like having to take care of the woman; neither pleasant nor unpleasant, simply thrust-upon and unexpected.

Unlike in Dom Casmurro, even feelings about environment can be revealed through touch in Pedro Páramo. As Juan approaches Comala, he observes that he and Abundio “[have] left the hot wind behind and [are] sinking into pure, airless heat. The stillness [seems] to be waiting for something” (5). While this airless heat adds on to the atmosphere, it also shows Juan’s state of mind. The surroundings in this scene mirror Juan’s mood, showing that he is waiting for something too. He may not expect to find his father, but he is coming with Comala with expectations, and the closer he gets to the town, the closer he is to finding out the truth.
The sense of touch is an important tool in both Pedro Páramo and Dom Casmurro. It can reveal aspects of character personality, relationships and inner thoughts and motivations. This symbolism, coupled with the other literary techniques Machado de Assis and Rulfo employ, helps create the vivid alternate reality of the novels.

Word count: 1470 words

TOK essay

TOK essay example. My teacher gave me 32/40. I think part of the reason was that EVERYONE chose the same couple of topics. Everyone was afraid of mine because it contained the word "math." Don't be afraid of TOK math, guys, you're talking to a Math frickin' Studies kid:


9. Mathematicians have the concept of rigorous proof, which leads to knowing something with complete certainty. Consider the extent to which complete certainty might be achievable in mathematics and at least one other area of knowledge.

On the surface, mathematics and natural sciences appear to be the two areas of knowledge most likely to yield absolute certainty. People often assume claims backed by scientific knowledge must be correct. When I encouraged a young friend to have an orange as Vitamin C is healthy, she balked. However, when I pointed out that numerous scientific experiments back up my claim and Vitamin C is necessary to the formation of collagen, she appeared swayed by the scientific evidence. Math is connected with reasoning, which seems to suggest that the proofs of math are as certain as if A=B and B=C then A=C. Both natural science and math are backed by numbers, making them seem more precise than ethics. However, as evidenced by the advent of chaos theory, fuzzy logic and Heisenberg’s Uncertainty Principle, the more that is learned about both areas of knowledge, the clearer it becomes that ambiguity and uncertainty are prevalent. For a multitude of reasons relating to perception and precision, it will be difficult for science to achieve complete certainty. In mathematics, this may be possible in elementary arithmetic, but beyond that, mathematics appears similarly uncertain.

Perception is a major problem in science. Scientific experiments are based on empirical evidence, which usually requires perception. A biologist trying to differentiate between a Javan and an Indian Rhinoceros[1] would rely on visual differences such as size and skin texture. Although perception becomes more reliable through experience and training, Javan rhinoceroses are amongst the rarest large mammals in the world[2] and the scientist could mistake the pattern or colour of the skin, confusing one species for another. Perception is necessary even in situations where the scientist bases data on technology such as the Geiger counter rather than relying on direct observation. It is possible to misread the counter.

Each of these slight imprecisions is not significant and should not alter the results by much, especially when an experiment is carried out many times. After all, it is likely that there will be very minor variance between each experiment, considering the factors that are out of the control of the scientist, such as the mood of the subject being experimented on. However, even the smallest indistinctness prevents the scientist from being completely certain. Thus, science can only be highly precise; it cannot be completely certain.

Emotion and ethics influence science and can thus affect theories and viewpoints more, whereas mathematics is almost independent of them. It is possible to misread a number in a moment of joy or anger, but it is much less likely that a mathematician will refuse to do a question because he feels it would be immoral to do so. Conversely, a scientist may shape his hypothesis and his experimentation around what he believes. Catholic scientist William A. Dembski is a proponent of the Intelligent Design theory. Although he has undoubtedly researched both sides of the argument and decided that it is more likely God exists, his faith probably contributed to his viewpoint. His bias would slant how he looks at material, and his interpretations would be tailored to his teleological beliefs. A mathematician may wish to obtain a certain answer, but he or she is more removed ethically from his or her work.

Science uses the experimental method, meaning that during experimentation the scientist attempts to manipulate one variable while trying to keep all others the same. Although the manipulated variable is chosen based on careful thought and research, it could be that the results of an experiment support a hypothesis even though the hypothesis is false. Experiments in the United States have shown that people of colour are more likely to get Alzheimer’s disease, but perhaps it is not because they are genetically predisposed to it, but because they are simply unaware that there is a cure[3]. A similar problem exists in math, the question of whether a pattern exists in nature, or a mathematician wants the pattern to exist so he or she manipulates the numbers until they do.

Certainty is possible in rudimentary arithmetic. Few doubt that 1+1=2. It is true that in logarithmic systems, 1+1=1, but that is because what is meant is not the sum of two objects, but the sum of log1+log1. One can be certain that 1+1=2 because the definition of two is two ones. For this equation to be false would be to refute the meaning of the terms.

This does not carry over into all areas of mathematics. Although mathematics may use syllogisms like logic, the validity of a deduction is based on the logic of the argument and not the truth of its components. This truth is simply assumed. However, for mathematics, this truth is necessary. It may be that a mathematician produces a logical argument, but uses a proof that is not completely certain. Thus, his own proof cannot be certain, even if it is valid. On other occasions, logic cannot be used to derive an answer. Mathematician Gödel realized that there are some true statements that cannot be proved nor disproved in a mathematical structure. He showed that no consistent computable axiomatic system can be complete and thus, the axiom’s consistency cannot be proved.[4] Thus, one cannot find all the truths, and sometimes when one finds a truth, it cannot be properly proved. These statements have no way of being shown to be certain.

One problem of math is that it is a solitary activity, and the process of checking over a proof is extremely time-consuming. Thomas Hales created a proof to Kepler’s sphere packing conjecture, which stated that the most economic way to pack balls is to use face-centred cubic packing[5], requiring twelve mathematicians to verify. Even with a team, it took four years for them to be 99%[6] sure the proof was correct. The Classification Theorem for Finite Simple Groups is estimated to be between 10,000 to 15,000 pages.[7] Some mathematicians are simply unwilling to spend so much time verifying one proof, or acting as a referee when they could be working on their own theorems. In the case of Hales’s proof, it was published, even though the team was not sure it was correct. Modern mathematicians is more accepting of slight fuzziness than past mathematicians. Although once math adhered to the concept of rigorous proof, modern math has changed. Computers are used to calculate such large numbers, only other computers can check the work – humans cannot do it. This creates a self-referential system that can overcome human limitations, but also cannot be certain because of its circular logic. Some mathematicians believe that instead of proofs, some propositions can be compared with computer-run experiments or real-world phenomena, and mathematician and writer Keith Devlin thinks that proof will be less important within 50 years.[8] Certainty may still be possible without rigorous proof, but as of yet it is too early to tell what flaws and uncertainties lie in using a computer.

This ambiguity in math affects certainty in science as well as many other areas of knowledge. Physicians use math which may be accurate but not completely certain, further preventing them from reaching absolute certainty. There are already barriers to certainty in science, as discussed above; added to that is the uncertainty in math.

Connections between areas of knowledge in general make it difficult to state whether certainty is possible in natural sciences. A biology experiment does not solely require knowledge of biology, but sometimes human sciences, as well. Then the degree of certainty in human sciences and how it affects the experiment must be examined. Even then, it is difficult to precisely pin down to what extent the uncertainty in human sciences will affect the uncertainty in the biology experiment.

Pythagoreans thought that there were only rational numbers. Then, they discovered that the square root of two is irrational, breaking one of their fundamental truths. A similar situation happens in science. No matter how certain one is of a concept, there is the possibility that it will be false. As can be seen, both mathematics and science can result in accurate knowledge. However, they are not as certain as it seems at first glance. In fact, both appear to become more and more uncertain. It is unsure whether further developments will continue this trend, or bring mathematics and the natural sciences closer to complete certainty.

Word Count: 1386

[1] Massicot par. 2
[2] Wilson and Burnie 229
[3] Nauert, Ph.D. screen 1
[4] Casti 371
[5] Plus screen 1
[6] Friedl screen 4
[7] Ibid screen 3
[8] Ibid screen 4

FAQ

Who are you?

A well-rounded and profound individual who suffered from extended bouts of epistemic loneliness and thus decided International Baccalaureate offered just the cure for her to communicate with like-minded individuals in the most intellectual of orgies.

Or, with less BS: A May 08 IB grad.

What is this blog?

My dumping ground for advice and old essays and assignments.

Why?!?!?

I don’t think I’m a model student, by any means. But I do know that on those 2am nights before my English oral commentary, I really could’ve used some notes on Scene Shifts. I remember how desperately I scoured the internet for examples of Math Studies IAs, only to draw blanks. IB really, really sucks. I want to help you poor souls still doing it.

Hey, don't you have your exams in a week?

Uh, yeah, about that...