Mathematics Essentials Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Logic, topology, probability, and differential equations
  • Number theory, algebra, geometry, and analysis (correct)
  • Arithmetic, calculus, trigonometry, and statistics
  • Combinatorics, linear algebra, calculus, and set theory

What does most mathematical activity involve?

  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Experimental testing and empirical observation
  • Intuitive guesswork and trial and error
  • Application of statistical methods to real-world problems

What do mathematical objects consist of in modern mathematics?

  • Empirical data and statistical distributions
  • Abstractions from nature or entities stipulated to have certain properties (correct)
  • Physical measurements and observable phenomena
  • Experimental results and reproducible evidence

What does a proof in mathematics consist of?

<p>A succession of applications of deductive rules to already established results (A)</p> Signup and view all the answers

What are the starting points of a theory in modern mathematics?

<p>Axioms and basic properties considered true (D)</p> Signup and view all the answers

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