Mathematics: Major Subdisciplines
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Arithmetic, calculus, statistics, and trigonometry
  • Algebra, calculus, geometry, and statistics
  • Number theory, algebra, geometry, and analysis (correct)
  • Logic, topology, calculus, and probability
  • What does a proof in mathematics consist of?

  • A succession of applications of deductive rules to already established results (correct)
  • Anecdotal evidence supporting a hypothesis
  • A series of unverified assumptions leading to a conclusion
  • Reliance on authority to validate a statement
  • What is the common approach in mathematical activity?

  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Intuitive guesswork followed by trial and error
  • Reliance on empirical evidence and experimental data
  • Acceptance of established beliefs without questioning
  • In what way is mathematics essential in various fields?

    <p>It is essential in modeling phenomena but its fundamental truths are independent from scientific experimentation</p> Signup and view all the answers

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

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