Mathematics Quiz
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Logic, topology, calculus, and probability
  • Arithmetic, calculus, trigonometry, and statistics
  • Algebra, calculus, statistics, and geometry
  • Number theory, algebra, geometry, and analysis (correct)
  • What does most mathematical activity involve?

  • Trial and error experimentation with mathematical concepts
  • Memorization of formulas and application of specific rules
  • Rote application of established results without reasoning
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • What do mathematical objects in modern mathematics consist of?

  • Physical representations of mathematical concepts
  • Entities with undefined properties
  • Randomly selected elements from nature
  • 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 considered as starting points of a mathematical theory?

    <p>Previously proved theorems, axioms, and basic properties</p> Signup and view all the answers

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