... the serious problems in Chinese mathematics was the absence of rigorous proof. Chinese scientists lacked a standard of logical proof provided by Aristotelian logical and they had no system of deductive geometry. They also lacked trigonometry, an essential tool for mathematical astronomy. As a result, the Chinese were forced to employ Arabic astronomers from 13th century onwards" (Bekar,carlaw and lipsey) ... In Personally, despite the very well-developed state of Chinese technology, abstract mathematics was extremely weak - geometry was fragmented and ad-hoc, arithmetics was there but a...

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... the hypotenuse of a right angle triangle you must add the squared result of each of the other two legs of the triangle (Violatti). This is still used in schools and geometry classes around the world to this day. It is arguably one of the most important mathematical theories. The Babylonians knew this thousands of years earlier, but Pythagoras was the first ... mathematical advancements. The ancient Greeks were greatly influenced by Egyptian and Babylonian studies, but they added their own findings to previous theories. They expanded upon the fundamentals of calculus and geometry and tau...

• Word Count: 1375
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• Has Bibliography

... in his life. One of the most important was Pherekydes. The other two were Thales and his pupil, Anaxmander, both who lived in Miletus. These two philosophers influenced him in geometry and cosmology. Pythagoras was accepted into priesthood at Diospolis in Egypt. It is here where he developed his beliefs which he later imposed on the society that he set up ... proved the theorem, and I have attached his proof to this report. The President was James Garfield. This theorem was one of the greatest discoveries that had an everlasting impact on geometry. The achievements of the Pythagoreans c...

• Word Count: 1269
• Approx Pages: 5
• Grade Level: High School

... window in our dream while sleeping in the bed, the image is different from reality but two plus two is still four even while we are asleep. Sciences as such geometry and mathematics are certain and indubitable for Descartes. In science classes, instructors stress the importance of determining causation. The modern scientific method allows for many ways to describe every imaginable ... ...

• Word Count: 1541
• Approx Pages: 6
• Has Bibliography
• Grade Level: Undergraduate

... knowledge, Descartes considered ancient logic. It is apparent that he believes that logic can only be used to com municate those concepts that are already known and accepted. He rejects geometry and algebraic analysis because of the restrictions which limit these subjects to figures alone. Instead, he prefers mathematics since it is controlled and limited by rigid ru les. Just as ... ...

• Word Count: 1593
• Approx Pages: 6
• Grade Level: High School

... until 1592 when he was appointed professor of mathematics at Padua (the university of the Republic of Venice). Galileo's duties as a professor of mathematics at Padua were to teach Euclidean geometry and standard (geocentric) astronomy to medical students. The medical students at that time were expected to know some astronomy in order to make use of astrology in their medical practices ... ...

• Word Count: 1843
• Approx Pages: 7
• Grade Level: High School

... window in our dream while sleeping in the bed, the image is different from reality but two plus two is still four even while we are asleep. Sciences as such geometry and mathematics are certain and indubitable for Descartes. In science classes, instructors stress the importance of determining causation. The modern scientific method allows for many ways to describe every imaginable ... ...

• Word Count: 1525
• Approx Pages: 6
• Has Bibliography
• Grade Level: Undergraduate

... order to come up with "true" theories. This can be seen especially in the field of Mathophysics where everything is based on the axioms of either Euclidean or non-Euclidean geometry. In fields such as these, one cannot just intuitively know an answer to a mathematical problem, but one has to follow the rules until the final product is reached. Why are ... ...

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• Has Bibliography