Mathematics: Concepts and Subdisciplines
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What are the major subdisciplines of modern mathematics, as mentioned in the text?

  • Calculus, trigonometry, and statistics
  • Number theory, algebra, geometry, and analysis (correct)
  • Geometry, probability, and differential equations
  • Arithmetic, calculus, and algebra

    • Which type of reasoning is predominantly used in mathematical activity?

  • Abductive reasoning
  • Inductive reasoning
  • Deductive reasoning (correct)
  • Analogical reasoning

    • What do mathematical proofs consist of?

  • A series of imaginative hypotheses
  • A succession of applications of deductive rules (correct)
  • A succession of experimental results
  • A compilation of statistical data

    • Which area of mathematics is often developed in close correlation with its applications?

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