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Questions and Answers

What is the primary method of mathematical proof?

  • Empirical observations and experimentation
  • Trial and error
  • Succession of applications of deductive rules (correct)
  • Intuition and guesswork

In which fields is mathematics essential?

  • Literature, history, art, music, and philosophy
  • Psychology, sociology, anthropology, linguistics, and political science
  • Astronomy, geology, botany, zoology, and chemistry
  • Natural sciences, engineering, medicine, finance, computer science, and social sciences (correct)

What do mathematical proofs consist of?

  • Subjective opinions and personal beliefs
  • Logical fallacies and contradictions
  • Applications of deductive rules to already established results (correct)
  • Experimental data and statistical analysis

What are the major subdisciplines of modern mathematics?

<p>Number theory, algebra, geometry, and analysis (D)</p> Signup and view all the answers

How are some areas of mathematics, such as statistics and game theory, developed?

<p>In close correlation with their applications (A)</p> Signup and view all the answers

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