Mathematics: algebraic identities
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Calculus, trigonometry, statistics, and probability
  • Number theory, algebra, geometry, and analysis (correct)
  • Combinatorics, complex analysis, graph theory, and mathematical logic
  • Differential equations, linear algebra, topology, and discrete mathematics
  • What kind of objects consist of abstractions from nature or stipulated entities with certain properties in modern mathematics?

  • Entities that follow natural laws only
  • Physical objects only
  • Abstract objects only
  • Entities that are stipulated to have certain properties (correct)
  • What does a proof in mathematics consist of?

  • A set of assumptions without logical reasoning
  • A sequence of random guesses
  • A succession of applications of deductive rules to already established results (correct)
  • An exploration of empirical evidence
  • Which area of mathematics is extensively used for modeling phenomena?

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

    In which areas are the fundamental truths of mathematics independent from any scientific experimentation?

    <p>All of the above</p> Signup and view all the answers

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