Paper One: The Mathematics of the Pythagoreans
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چکیده
This paper is well composed in a comprehensive narrative form, and it is a good model for effective thesis development. The writer has revealed thesis elements clearly and early in the paper, has developed and extended these throughout the opening paragraph, and has concluded the first paragraph with a thesis summary. Examples of thesis development appear in blue below. The summary thesis statement, which appears in blue type and is underlined, reflects what has been said so far and predicts what is to come.
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Mathematics and Faith
In this reflection about mathematics I shall confine myself to arithmetic, the study of the numbers 0, 1, 2, 3, 4, . . . . Everyone has at least the feeling of familiarity with arithmetic, and the issues that concern the human search for truth in mathematics are already present in arithmetic. Here is an illustration of research in arithmetic. About 2500 years ago, the Pythagoreans defined a num...
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