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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Cardinal numbers: Definition‚ Examples Cardinal numbers We know that‚ the relation in sets defined by A~ B is an equivalence relation. Hence by fundamental theorem on equivalence relation‚ all sets are partitioned into disjoint classes of equivalent sets. Thus for any set A‚ equivalence class of A‚ [A] = { B | B ~ A } Result: - (1) [A] = [B] or [A] ∩ [B] = ∅ ‚ that is for any two sets‚ either they have same equivalence classes or totally disjoint equivalence classes.
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Perfect numbers Mathematicians have been fascinated for millenniums by the properties and patterns of numbers. They have noticed that some numbers are equal to the sum of all of their factors (not including the number itself). Such numbers are called perfect numbers. A perfect number is a whole number‚ an integer greater than zero and is the sum of its proper positive devisors‚ that is‚ the sum of the positive divisors excluding the number itself. Equivalently‚ a perfect number is a number that is
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Stellar Numbers Results 1. Triangular Numbers Observation of the number pattern of polynomial type or different pattern needed. Identifying the order of the general term by using the difference between the succeeding numbers. Students are expected to use mathematical way of deriving the general term for the sequence. Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result The
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The Number Devil Prima Donna Numbers Prima- donna numbers is another name for prime numbers. Prima- donna numbers/ prime numbers can only be divided evenly by one and itself. In The Number Devil‚ the Number Devil does the prima-donna numbers from 0 to 50. I created a chart‚ just like in the number devil and figured out which ones are prima-donna numbers. The number 0 does not count because if you divide a number by 0 the answer will always be 0. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
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plurals-------------------------------------------------------------------------------7 Irregular plurals from Latin and Greek------------------------------------------------7 Words better known in the plural-----------------------------------------------------10 Plurals of numbers-----------------------------------------------------------------------11 Plurals and units of measure----------------------------------------------------------11 Plurals of headless nouns--------------------------------------------------------------11
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Graham’s number‚ named after Ronald Graham‚ is a large number that is an upper bound on the solution to a certain problem in Ramsey theory. The number gained a degree of popular attention when Martin Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ... a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof." The 1980 Guinness
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ABSTRACT Reynolds number can be defined as a number of varieties of situations where a fluid is in relative with motion to a surface. This experiment is to observe the behavior of the flow of fluid either it is laminar or turbulent by calculating it’s Reynolds number and the characteristic of the flow. Other than that‚ the range for laminar and turbulent flow can be calculated and the theory that Reynolds number is dimensionless can be proven. The pump is opened to let the water flow. The dye
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Close reading and response to literature Number The Stars -Lois Lowry 1. What are the major themes of this book ? Difficulty of growing up The author Lois Lowry uses the context of World War II as a way of making the difficulties stand out more clearly. The novel focuses on Annemarie Johansen’s personal experiences with growing up‚ but her experiences are common to most young people. Growing up is presented as a struggle for identity. Does Annemarie belong to the world of adults or
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Figure 1: Recognizing the pattern of the "rabbit problem". If we were to keep going month by month‚ the sequence formed would be 1‚1‚2‚3‚5‚8‚13‚21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking‚ this sequence is represented as: The Fibonacci sequence has a plethora of applications in art and in nature. One frequent finding in nature involves the use of an even more powerful
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