Mathematics
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Questions and Answers

What are the major subdisciplines of modern mathematics?

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

  • Application of mathematical concepts in real-world scenarios
  • Exploration of historical mathematical developments
  • Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
  • Memorization of mathematical formulas and theorems
  • What do mathematical proofs consist of?

  • A collection of mathematical problems and their solutions
  • A set of randomly selected mathematical axioms
  • A series of experimental trials and observations
  • A succession of applications of deductive rules to already established results (correct)
  • What are the objects of mathematical proofs in modern mathematics?

    <p>Abstractions from nature or entities stipulated to have certain properties</p> Signup and view all the answers

    What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?

    <p>There is no general consensus</p> Signup and view all the answers

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