Mathematical Diversity Quiz
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Questions and Answers

What are the major subdisciplines of modern mathematics mentioned in the text?

  • Logic, probability, differential equations, and combinatorics
  • Calculus, statistics, trigonometry, and topology
  • Number theory, algebra, geometry, and analysis (correct)
  • Arithmetic, calculus, algebra, and geometry
  • What is the primary method used in mathematical activity according to the text?

  • Experimental testing and observation
  • Intuition and guesswork
  • Reliance on historical mathematical principles
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • What do proofs in mathematics consist of according to the text?

  • Appeal to authority and tradition
  • Reliance on empirical evidence
  • Trial and error approach
  • Succession of applications of deductive rules to already established results (correct)
  • What are the entities in modern mathematics stipulated to have certain properties called?

    <p>Axioms</p> Signup and view all the answers

    What does most mathematical activity involve according to the text?

    <p>Discovery of properties of abstract objects</p> Signup and view all the answers

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