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“The convergence or divergence of a sequence does not depend on the behavior of its initial terms, but rather on how the terms behave, eventually.”

Ibig sabihin, sa isang sequence, hindi mahalaga kung magulo ang mga unang numero, ang mahalaga ay ang pagkakaayos ng mga ito, pagkatapos. Parang sa lahat ng bagay, na kahit hindi maganda ang umpisa, basta tapusin mo nang maayos.

“Ok lang kahit bagsak ka sa unang dalawang exam, makakabawi ka naman sa susunod.”

Sana nga ganun, pero hindi ito kasing dali ng gusto ko sanang isipin.

bagsak na naman ako sa long exam ko sa math 54.

strike 2 na ako, isa na lang, baka kailangan ko nang magdrop. hindi ba ako nag-aaral ng mabuti?

o talagang bobo lang ako

Napatunayan ko na magulo talaga ang mundo.

Nag-aantay ako sa titser namin sa math, nakaupo sa may likuran ng klasrum. Siyempre walang ginagawa. Lingon dito, buklat ng notebook, hihikab ng konti at kung anu-ano pang normal gestures kapag nag-aantay. Nang biglang may pumasok na isang estudyante na hindi naman namin kaklse.

Naghanap siya ng mauupuan at huminto pa sa harap ng nakaupo sa may harapan ko dahil kakilala pala niya ito. Ngayon ko lang siya nakita, hindi ko natatandaan na nakasalubong ko na siya kahit minsan.

Napayuko ako at pagtingin ko ulit sa harap, nakita ko siya. Tama, nakita ko siya, si shuwarmz, kung yun nga yung pangalan niya talaga. Medyo natigilan ako ng konti habang iniisip kung bakit siya narito.

Yun pala, kasama niya yung naunang pumasok, isang kaibigan. Pero bakit sila nandun sa klase ko.

Naisip ko na galing sila sa earlier class ni maan at dahil sa kung anong sumupot na activity ay kinailangan nilang lumiban sa klase at naisip nila na sa later class na lang umattend. Sana ganun nga pero hindi.

Bago pa man pumasko ang guro sa loob ay lumabas na siya kaagad.

Una ay naisip ko pa na baka pupunta lang sa cr pero hindi, hindi na siya bumalik.
Gara talaga, hindi ko man lang siya natingnan ng medyo matagl-tagl dahil akala ko ay uupo sa don sa buong isang oras naklase. Gara talaga.

Pero the weird thing about it is, napatingin siya sa akin bago siya lumabas sa pinto.

At pagkatpos nun ay inisip ko kung sadya ba yun o hindi. Ok lang siguro kung nasa tabi ako ng pinto pero hindi eh, pang-apat ako na silya mula sa pinto, at mara makita ako mula sa kinatatayuan niya nung tumungin siya sa akin, kailangan pa niyang lumingon.

Pero bakita naman niya gagawin yun?

Tuloy nabuo ang aking pangalawang tanong. Namumukaan kaya niya ako? Naaalala ko kasi na naipakita ko sa kanya ang litrato ko sa friendster, yung annual picture ko na colored. Medyo nagkausap kami ng konti, pero mababaw lang, at ano naman ang aasahan mo sa ganun.

Baka mamya ay naalala pa niya ako pero malamang ay hindi na. Siguro. At lahat ng nabanggit ko kanina ay likha lamang ng magulo kong imahinasyon.

Pero sana, may bigla ulit sumulpot na kung anong activity at kailangan nilang lumiban sa klase at naisip na para magawan ng paraan ay umattend na lang sa later class.

Sana nga.

Recently I overheard my classmate talking about that of studying. She goes, “I can’t understand all that trigonometry, would we even need that when we face the real world?” No, I’m not going to talk about those circular functions nor will be constructing proofs for identities; we may not really need that in our search for the so-called “real world’.

One normal college student may one day wake up to the perils of studying, which is to loose the need for learning. Indeed, studying in its most extreme scenarios could squeeze out all enthusiasm from a student to have interest in learning. Let’s now look at how this seems to be done. We may now call a student as a pursuer hereafter.

Our pursuer may one morning wake up late after a sleepless night in order to review for a one-subject exam. You could not blame him for cramming because after all, his professor left him with no choice, 2 inches of reading materials is no joke. He wakes up with something worse than a hangover, his head really hurts but there’s no time thinking about that ’cause he’ll be late for his first class. The real world, can’t we call the present as our real world?

As expected, our pursuer arrives already late for his logic class, and to his surprise, which is not surprising, a graded recitation is being held by the prof. As a consequence, with the mentor thinking that his pupil is not taking his subject that seriously to even arrive on time, our pursuer is subjected to construct proofs using the ten rules of inference which our pursuer hasn’t even fully understood yet. Still, panting from the long run he took to get to class, he didn’t even had the time to sit properly but he quickly faced the problem on the board and prayed that a miracle would happen. The idealistic way of looking into things is to say that even that we may not need to evaluate premises when we apply for a job, nor use modus tollens to hard-boil an egg, the way that we deal with situations involving learning new things, solving problems with every lesson learned and many other more things constitute to the “real” knowledge that we are expected to understand.

On the way to the exam room, our pursuer sees his orgmates happily spending spare time at their tambayan. He’d wish he was part of the fun, but he’d rather get ready for his exam if he knows what’s best for him. He won’t make precious time to just slip away. He used the last minutes to take one final look at his notes before having to receive the test paper. Few things that make our pursuer go on with this kind of life, always in a dire need to review, surpassing limitations to meet deadlines, going beyond what is expected to receive a better standing, are his dreams. Dreams of a better future, a future in which he would enjoy the fruits of his struggles is one of the things our pursuer aspires that’s why he sleep late to study, wake up early to attend classes, keep alert in a boring discussion and so many more.

“Reality is that which, when you stop believing in it, doesn’t go away.” – Philip K. Dick (1928 – 1982)