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Questions and Answers
What are the major subdisciplines of modern mathematics?
number theory, algebra, geometry, and analysis
How is mathematical activity described in the text?
involves the discovery of properties of abstract objects and the use of pure reason to prove them
What are the essential applications of mathematics mentioned in the text?
natural sciences, engineering, medicine, finance, computer science, and the social sciences
What does a proof in mathematics consist of?
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What is the relationship between the fundamental truths of mathematics and scientific experimentation according to the text?
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What are the two aspects involved in most mathematical activity according to the text?
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What does a proof in mathematics consist of, according to the text?
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What are the major subdisciplines of modern mathematics mentioned in the text?
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How are the fundamental truths of mathematics described in relation to scientific experimentation according to the text?
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What are some of the fields where mathematics is essential according to the text?
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