THE DIVINITY OF NUMBER: The Importance of Number in the Philosophy of Pythagoras by Br. Paul Phuoc Trong Chu‚ SDB Pythagoras and his followers‚ the Pythagoreans‚ were profoundly fascinated with numbers. In this paper‚ I will show that the heart of Pythagoras’ philosophy centers on numbers. As true to the spirit of Pythagoras‚ I will demonstrate this in seven ways. One‚ the principle of reality is mathematics and its essence is numbers. Two‚ odd and even numbers signify the finite and
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A rational number is a number that can be written as a ratio of two integers. The decimal of a rational number will either repeat or terminate. There is a way to tell in advance whether a rational number’s decimal representation will repeat or terminate. When trying to find a pattern in the relationship between rational numbers and their decimals‚ it is best to start with a list. A random list of rational numbers and their decimal values was made in order to find a pattern. The list included ½‚ 5/6
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Chapter 3 Problem 60 Page 133 Dividend yield is the annual dividend per share a company pays divided by the current market price per share expressed as a percentage. A sample of 10 large companies provided the following dividend yield data (The Wall Street Journal‚ January 16‚ 2004). Company | Yield % | Company | Yield % | Altria Group | 5.0 | General Motors | 3.7 | American Express | 0.8 | JP Morgan Chase | 3.5 | Caterpillar | 1.8 | McDonald’s | 1.6 | Eastman Kodak | 1.9 | United Technology
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Question 1 Determine the slope for line 2x+12y-6=0 2x+12y=6 12y=-2x+6 y=-2x/12+6/12 y=-x/6+1/2 ∴m=-1/6 Find the slope of the required line‚ which is "m" (-1/6)("m" )=-1 (m)=6 Now‚ substitute m=6 into equation y=mx+c ‚i.e. y=6x+c. This line passed through point (2‚4). So‚ we substitute x=2‚y=4 into y=6x+c. 4=6(2)+c 4-12=c c=-8 ∴ The equation of the straight line that we are looking for is y=6x-8
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DISCRETE MATHEMATICS Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly"‚ the objects studied in discrete mathematics – such as integers‚ graphs‚ and statements in logic – do not vary smoothly in this way‚ but have distinct‚ separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects
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WHY PROBLEM SOLVING? • Problem solving is the most basic of mathematical skills- the reason for studying mathematics • Problem solving is an integral part of the larger area of critical thinking‚ which is universally accepted goal for all education • Problem solving shows an interaction between mathematical ideas • In the classroom can lessen the gap between real world problem and the classroom worlds and thus set more positive mood in the classroom. WHAT IS PROBLEM? The
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Mathematics is the Sphere of Life All is Numbers‚ is still echoing from the walls of the White City‚ when once the great Pythagoras said it on an early sunny morning to his disciples. No great discoveries in history every made‚ without the intervention of this mystical ray we call Mathematics. Einstein in his general relativity theory‚ to prove that the path of a ray of light‚ in the presence of a gravitational field‚ is curved and never straight used intensely the non-Euclidean geometry
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Philosophy through Mathematics For centuries mathematics has been the bases to almost everything we do. Whether we are dealing with complex physics or modern medicine‚ without mathematics almost nothing we have now would be possible. Mathematics is a broad topic that can be broken down into many different categories. Most people limit their mathematics to just basic arithmetic and some geometry but the world of mathematics can be expanded to be so much more. The world of mathematics includes more than
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demonstrated in Numbers. In a similar way as in Exodus‚ Gods’ provision and work in Israelites was constantly present‚ despite their continued disobedience. The establishment of the tabernacle was still emphasized in Numbers‚ the laws and regulations that they had to obey and live by. Ultimately‚ their rebellion only worsened their situation‚ God taught them a lesson‚ in which He was in control and their sinful choices brought great suffering and caused the wrath of God upon them. In Numbers‚ the establishment
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Ancient India Technology In ancient Indian mathematics was known by the general name of Ganita‚ which included arithmetic‚ geometry‚ algebra‚ astronomy and astrology. It was Aryabhatta‚ who gave a new direction to trigonometry. The decimal system too was an innovation of India. By the third century B.C. mathematics‚ astronomy and medicine began to develop separately. In the field of mathematics ancient Indians made three distinct contributions‚ the notation system‚ the decimal system and the use
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