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What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
A succession of applications of deductive rules to already established results.
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
Number theory, algebra, geometry, and analysis.
In what fields is mathematics essential?
In what fields is mathematics essential?
Natural sciences, engineering, medicine, finance, computer science, and the social sciences.
What is the nature of the fundamental truths of mathematics?
What is the nature of the fundamental truths of mathematics?
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What are some areas of mathematics often grouped under applied mathematics?
What are some areas of mathematics often grouped under applied mathematics?
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