Mathematics Quiz

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Questions and Answers

What does most mathematical activity involve?

  • Memorization of formulas and algorithms
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Application of statistical methods to solve problems
  • Experimentation with physical objects to derive mathematical principles

What do mathematical objects in modern mathematics consist of?

  • Physical representations of mathematical concepts
  • Empirical data obtained from experiments
  • Abstractions from nature or entities stipulated to have certain properties (correct)
  • Observable phenomena with quantifiable characteristics

What are the major subdisciplines of modern mathematics?

  • Probability, combinatorics, differential equations, and set theory
  • Arithmetic, calculus, trigonometry, and statistics
  • Number theory, algebra, geometry, and analysis (correct)
  • Algebra, calculus, topology, and logic

What does a proof in mathematics consist of?

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

What are the starting points of a mathematical theory?

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

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