Mathematics Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

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

What does most mathematical activity involve?

  • Memorization of formulas and application of algorithms
  • Intuitive guessing and approximation
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Experimental testing of mathematical concepts

What do mathematical objects in modern mathematics consist of?

  • Physical objects and natural phenomena
  • Empirical observations and experimental data
  • Human-made constructs and technological advancements
  • Abstractions from nature or entities stipulated to have certain properties (correct)

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 mathematical theory?

<p>Previously proved theorems, axioms, and basic properties considered true (D)</p> Signup and view all the answers

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