In the previous installment of The Story of Maths, we
learned that mathematics’s origin is practical and its initial development and
appreciation are just about running and managing the society and resources with
order and a bit of introduction to logic.
In the second episode, The Genius of the East, tackled ancient
civilizations from the East, in particular, the Chinese, Indian and Arabic, discussing
how they actually propelled the unraveling of mathematics way ahead of Western
perspective.
Ancient Chinese understood numbers as something magical and
mystical. Even in present China, certain numbers and combinations of number
have sub-textual meanings in them, of both good and bad. Arrangements and
structures required mathematicians to build, such as the rank of imperial
consorts. The decimal numeric system they've used also influenced other
civilizations which helped develop understanding mathematics.
Indians, with their culture highly inclined to the ways of
Hinduism, also contributed much in mathematics. The concept of zero was
believed to have started in ancient Indian civilization. The reason why zero
was to be recognized is its deep meaning, in accordance to Hindi conventions.
Zero was of great importance because the goal of this religion is to liberate
themselves from the cycle of life and go back to the origin, which is nothing and
zero is the number to represent nothingness. Negative numbers were also
introduced for finances which was an important aspect of their civilization.
Concepts of infinity started in this civilization. Their comprehension of
infinity is very similar to that of in calculus, which made this civilization
more advanced in terms of understanding further knowledge about mathematics
compared to the ancient West.
Contributions of ancient Arabic civilization to the
development of modern Mathematics is very great. They developed Algebra which
then made the concept of irrational numbers. Greek mathematics, which was
mostly spatial and geometric, was improved with the methods of Arabic
mathematics. They also had solutions for cubic equations, which was led by Omar
Khayyam in the 9th Century. Leonardo of Pisa, or commonly known as Fibonacci,
was a son of a merchant in the Middle East. There he learned the Hindu-Arabic
numerical system, which made him highly interested in mathematics. As he
introduced this numerical system to the West, he made the way Western people
understand and use mathematics improve. A famous contribution he made was the
Fibonacci sequence.
This installment made me realize that much of the origin of
modern mathematics are philosophical and metaphysical in nature. This just
means that understanding mathematics won't separate the mind from being
philosophical since both require much brain work. Mathematics is basically a
way of representation to anything fathomable, may it be physical or abstract.
Fear of understanding math is forgivable. Each of us has our own ways of
understanding the world around us. Mathematics may intimidate a lot of people
but people, in nature, are capable of thinking with great capabilities, thus,
all of us have our own complex ways in us. It can be mathematical, be it great
or small.
Originally Published: 12/11/13 03:21 Pacific Standard Time
Originally Published: 12/11/13 03:21 Pacific Standard Time
I liked your discussion of the history of mathematics in the east. I also enjoyed the last paragraph, where you connected mathematics and philosophy, and said that "[m]athematics is basically a way of representation to anything fathomable, may it be physical or abstract." Well done.
ReplyDelete"Each of us has our own ways of understanding the world around us." True! Even the civilizations discussed above have different approaches in mathematics but that didn't actually stop them to make something wonderful out of it. Nicely written.
ReplyDeleteGreat conclusion. Mathematics may seem as something intricate to some people because they only focus on to what others think and see it as it is. People tend to openly see mathematics to the way they prefer it to be. In that way, they could possibly come up to a realization that mathematics is indeed amusing.
ReplyDeleteYes, both mathematics and philosophy really require a lot of thinking and brain work. -_-
ReplyDeleteEverything is very well said and I like the conclusion especially this "Mathematics may intimidate a lot of people but people, in nature, are capable of thinking with great capabilities, thus, all of us have our own complex ways in us". Great work.
ReplyDelete