Sunday, November 30, 2008

ROLE OF PYTHAGORAS IN MATHEMATICS DEVELOPMENT

ROLE OF PYTHAGORAS IN MATHEMATICS DEVELOPMENT



Arranged by:

LENNY PUSPITA DEWI

05301244122



MATHEMATICS EDUCATION

FACULTY OF MATHEMATICS AND SCIENCE

YOGYAKARTA STATE UNIVERSITY

2008




A. Introduction

I am sure that all of us know about Pythagoras with his popular theorem which side’s comparison of a right angled of triangle. If c is the symbol of sideways, and two sides other are a and b, so c2 = a2 + b2.

Of course we guess that Pythagoras is the true scientist (more than his popular as philosopher). But all of your guess will be controvertible when you read this statement, that Pythagoras is very belief in superstitions, moreover he make his superstitious himself, of course with the philosophy principles. As a philosopher, he has many follower they name is Pythagorean.

Pythagoras is familiar as a mathematician. He gives important contribution for science development (especially mathematics).

B. Role of Pythagoras in Mathematics Development

Mathematics has an important role in the human’s life. Science and technology progress which very quick now, it caused by mathematics role. Can say that main base of science and technology is mathematics.

The discovery of paramount importance from Pythagoras is in the right angled of triangle equals quadrate of it’s sideways, moreover uncomparison theorem content nullifying again all Pythagoras philosophy. Because adequate insufficient arithmetical theory hit uncomparison, hence these matters progressively assure all mathematicians at the time that geometry have to be compiled separately with arithmetical.

And since then geometry have big influence to erudite method and philosophy. Deductive reasoning of axiomatic become main key in comprehending knowledge. This bring consequence, mathematics shall no longer study objects which directly can be arrested by human being senses. Mathematics substances are object think having the character of abstract. And become pure mathematics predominate.

For example, geometry deal with exact circles however is careful we were drawing by using meter, immanent of irregularity and imperfection. These prove view that any reasoning of exact only by reference to different ideal object with object sensory. Farther this bring view in philosophy that mind more especial than senses, and mind object more real compared to sensory perception objects.

Mystique doctrine which is concerning relation between eternity and time even also get support from pure mathematics, mathematics objects, like number, real even if, etemal in character and do not burst by time. Endless objects that way conception as the infinite mind. Hence do not surprise if emerging Plato doctrine that God is geometry expert. Different rationalistic religions with apocalyptic religion, since Pythagoras, and especially since Plato, have fully predominated by mathematical method and mathematics.

Mathematics combination and theology, beginning from Pythagoras, have inculcated characteristic at philosophy which have religion pattern of Greek, in the middle ages and modern-day till Immanuel Kant. But starting Plato era and Descartes happened circumstantial solidarity between reasoning and religion, between moral aspiration and logic attitude glorifying all which is eternal. This matter do not get out of influence predominate pure mathematics of that time.


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