Mathematics Subdisciplines Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Number theory, algebra, geometry, analysis (correct)
  • Algebra, trigonometry, calculus, geometry
  • Geometry, analysis, calculus, algebra
  • Number theory, calculus, algebra, geometry

What does most mathematical activity involve?

  • Use of axioms to disprove theorems
  • Discovery of properties of tangible objects
  • Use of pure reason to disprove properties of abstract objects
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)

What is a proof in mathematics?

  • A succession of applications of deductive rules to already established results (correct)
  • A succession of applications of axioms
  • A succession of applications of theorems
  • A succession of applications of inductive rules

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