Mathematics Quiz
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Questions and Answers

What does most mathematical activity involve?

  • Experimental testing of mathematical theories
  • Application of statistical methods to analyze data
  • Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
  • Memorization of formulas and algorithms
  • What are the major subdisciplines of modern mathematics?

  • Calculus, statistics, trigonometry, and arithmetic
  • Algebra, calculus, topology, and logic
  • Number theory, algebra, geometry, and analysis (correct)
  • Probability, differential equations, combinatorics, and set theory
  • What do mathematical objects consist of in modern mathematics?

  • Physical objects and empirical data
  • Observations from experiments and simulations
  • Ideas derived from cultural beliefs
  • Abstractions from nature or entities stipulated to have certain properties (correct)
  • What does a proof in mathematics consist of?

    <p>A succession of applications of deductive rules to already established results</p> Signup and view all the answers

    What are the starting points of a theory in modern mathematics?

    <p>Axioms and some basic properties considered true</p> Signup and view all the answers

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