Mathematics: Fundamental Concepts Quiz
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Questions and Answers

What does most mathematical activity involve?

  • Reliance on scientific experimentation to establish mathematical truths
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Application of statistical methods to prove mathematical properties
  • Experimental testing of mathematical theories

    • In modern mathematics, what are entities stipulated to have that are called axioms?

  • Certain properties (correct)
  • Random properties
  • Fixed properties
  • Variable properties

    • What are the major subdisciplines of modern mathematics?

  • Arithmetic, differential equations, topology, and optimization
  • Calculus, trigonometry, statistics, and probability
  • Linear algebra, combinatorics, calculus, and applied mathematics
  • Number theory, algebra, geometry, and analysis (correct)

    • What are some areas of mathematics developed in close correlation with their applications?

    <p>Statistics and game theory</p> Signup and view all the answers

    What are the fundamental truths of mathematics independent from?

    <p>Any scientific experimentation</p> Signup and view all the answers

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