Mathematics is a language of perfection

  Strictly speaking, a language is a verbalized means of communication, enabling the speaker to convey thought to another person. However, the more complex the thoughts or ideas, the harder or more cumbersome language becomes. To explain verbally why 'the square on the hypotenuse of a right-angled triangle equals the sum of the squares on the other two sides' would require a long and tedious paragraph or great math tutors. And this is the simplest possible example; anything more complicated would be unmanageable. So in this way mathematical symbols which nowadays are universally accepted, compress information in a way that no ether 'language' possibly could, and this fact supports the topic statements.

  However, this 'language' is only available to most people in it's simplest forms, i.e. arithmetic, algebra and geometry, and these are taught in schools because they have everyday usage. The shop assistant needs arithmetic, unless there is an automatic cash till, and technicians of all kinds need the other two; perhaps more, such as trigonometry, logarithms and the calculus, should he or she be dealing with quantities that vary in time and space. In this sense, of course, mathematics is a minority language, a language intelligible only to the specialists of all nations.

  The time may come when knowledge of higher mathematics is far more wide-spread, however. The 'new' mathematics is now being taught in many schools, sometimes alongside the traditional approach, and younger students find the new methods more intelligible. The principles of course have not changed; merely the setting out. However, there are great developments available to younger students enabling them to see the subject as a whole rather than as a series of separate compartments, and this should engender more interest in those whose natural bent is in the direction of the arts.

Mathematics has been described as 'the spearhead of natural philosophy', and this was certainly true up to about 1800. The subject grew up independently in China, India, the Arab world and Europe. For example, many of the Alexandrian and Greek schools of geometricians, represented by Thales of Miletus, Pythagoras, Euclid, Archimedes etc advanced propositions which were already Pythagoras, Euclid, Archimedes etc advanced propositions which were already known elsewhere. The West derived it's numbers system from the Hindu-Arabic world, which reached Europe in about 1000 AD. The West learnt mathematics from the Arab world and, from the 15th century, great developments took place.

  Descartes revived algebraic geometry, Napier invented logarithms, Newton and Leibnitz the calculus. Lobachevsky developed non-Euclidian geometry, and was followed by Einstein, though the latter was more of a physicist than a mathematician. From Newton onwards, mechanics and astronomy began to use advanced mathematics and, later on, physics came in for the same treatment. Both 'pure' and 'applied' mathematics became the indispensable tools of progress. Pure maths reaches conclusions by means of the deductive process, and may be independent of need. Applied maths consists of developments to meet the requirements of science and technology.

  So mathematics has become a 'beautiful language' in several senses. Firstly, in it's ability to compress ideas, just as a great poet achieves desired effects by great verbal economy. Second, because it's tools, the symbols, are internationally accepted. Third, because it is entirely objective, and completely exact, allowing no room for prejudice or human emotion. Fourth, because it constantly provides the ground for new hypotheses. These in turn are checked by logic and observation. Often as with Pythagoras, mathematical conclusions can be checked by other means. So mathematics can lead man closer to absolute truth than any other means, that is in the categories of discovery in which it can operate.

  Mathematics means 'facts', verified by experiment, and these facts are true within the four dimensions in which the human mind can operate. The other dimensions, perhaps six according to Stephan Hawking, must be compressed into infinitesimal space, so are likely to remain the prerogative of the Creator!

Lived

  Far up in the mountains of Canada, there is an old abandoned log cabin. Once it was occupied by a young couple who wanted to distance themselves from the chaos of this modern world. Here they were miles away from the nearest town. Bob, the husband, made the occasional trip into town to buy supplies whereas Jan, his wife, spent her free time by the fire, sewing. Their life was simple.

  Then, one midwinter's day, Jan woke up from bed with a strange ache in her bones. Putting it down to overwork, Bob shooed her to bed and made sure she rested. Though Jan was impatient to get to her chores, Bob soothed her, "Relax, Sugar. You're overdoing things. All these chores will be here when you recover." 

  However, Jan seemed to be getting worse instead of recovering. By evening, she was running a high fever and in greater pain. In spite of his best efforts, Bob could not manage to ease her suffering. And then suddenly, she started to lapse into unconsciousness.

  It was then obvious that she was seriously ill. What could Bob do? He had no experience in treating the sick and Jan was getting worse by the minute. He knew that there was an old doctor in town but he lived three miles away, downhill. Pot-bellied and obese, there was no way the doctor could make it up to their cabin.

  Something had to be done quickly! But Bob was stuck in the moment of fear. The only thing left to do was to go to the doctor. In Jan's condition, she could never walk that far in the waist-deep snow. Bob would have to carry her!

  Bob searched his mind for a way to move poor, sick Jan. Then, he remembered. He had once made a sledge so that they could ride together over the mountain. They never got around to using it though, because the whole mountain was thickly covered with rocks and trees. He had never found a safe way down, not even once.

  "Well," he thought, "looks like I'm going to have to try it anyhow," as he dug out the sledge from the storeroom. "Jan may die unless I get her to the doctor, and life means nothing to me without her." With this thought in mind, Bob gently tucked Jan into the sledge, got in the front, and with a short prayer for safety, pushed off.

  

  How they got through that ride alive, Bob has never figured out. As trees loomed up in front of him and just as quickly whizzed by his side, close enough to touch, he felt relieved that Jan was not awake to experience the ride. It was all he could do not to scream as collision seemed imminent, time and again, with only inches to spare.

  At last, bursting from the mountainside, the town came into view. Barely slowing down, they sped through the icy streets, only losing speed as they neared the doctor's house. The sledge, battered through the journey, collapsed in the left ski as it came to a halt, spilling out its occupants. Bob picked up his Jan and made his way into the doctor's house.

  After what seemed to be a long winter, Jan recovered fully from her illness but Bob never recovered from his fright. They moved into the little town so as to be near help in times of crisis, and have lived there ever since.

illusionary world part VI

  I'm collecting scrap in effort of making life as how I had been made. "Do you want a friend? That make sense, you must be lonely all by yourself. I'm sorry." She's not entirely correct. It is not that I felt lonely. I thought it will be more fun if we had more of my kind. A more lively world.  "Let's give it a try, even if it is not possible."

  Our creation, friend was not alive at all. Not the single trace of life was found in it. Life is difficult to be obtained in a world like this.

illusionary world part V

 Some time long ago, or perhaps sometime in the distant future, I was in a different world. In a world full of life and happiness. I still retain memories of that world. The girl asked me if that world was a better place that the world we both live in. 

 A girl living alone in a world that has ended. An empty and still world.  This was a place that had nothing, that was void of all happiness. Perhaps that is why I was born here. To fill in that void that she had.

Education?

  What is an education? A teaching? If so, what does it teach? It teaches about the world? Perhaps it does. Right now, an education is required for anyone living in this era.

  We start of our educational journey from a young age. We learn simple ABCS and 123 from the start of our journey and difficult essays and complicated mathematical quadratic education towards the end of it. However, learning never ends. We keep learning no matter how old we are or where we are. Education is a fun and interesting experience indeed.

  If education is fun and interesting, why does it stress the students who are in their journey of an education? Aren't we all suppose to enjoy an education and to be excited about new things that we have learn? Why has an education cause many life to end?

  It could be that the system of education now is too much for students to handle. It could also be that the parent's of the students push them into studying for their future. In my honest opinion, life is about learning and experiencing what the world has to offer. But if we keep on studying for the sake for our future, are we really living?

  In the end, we are not having an education to learn and experience but rather to survive in this world and era we live in now. We are no different from our ancestors who strive for survivals. I think that, our leaders should find a new way to make education fun and interesting for not only students, but everyone. A better world starts of with a better education system.
 

illusionary world part IV

  What is this light? I would not know a sight like this. Strange lights floating everywhere in this desolated world. For this girl who stays here all the time, this light is part of nature. It does not bother her one bit. 

  This is a shadow I thought but a shadow is cast. So what had cast this shadow? I will delve deep into my memories. Some time long ago or perhaps way into the future. My memories are in a blur but I remember, I was in another world before. I was alive in another world before walking on the grounds of this world That is one sensation I remember.

illusionary world part III

   I  was born into this world to seek for the girl who lives in this deserted world. Sacrificing what I could have if I was born into another world. The girl made my body from scrap she had collected from this world. My memories were murky, I cannot remember very well. Where I had been going until now. Where had I been trying to get to? 

   I could not speak to the girl. But she was that one thing that made my heart feel warm. The warmth of this girl is indescribable. I could not feel that warm sensation with my body though since it had been made of scrap. What a shame though.