Mathematics Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Arithmetic, calculus, trigonometry, and statistics
  • Numerical analysis, topology, probability, and logic
  • Number theory, algebra, geometry, and analysis (correct)
  • Linear algebra, differential equations, combinatorics, and calculus

What is the primary method of mathematical proof?

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

What do most mathematical activities involve?

  • Collection of empirical data
  • Application of statistical methods
  • Discovery of properties of abstract objects (correct)
  • Study of concrete and tangible phenomena

What do mathematical objects consist of in modern mathematics?

<p>Abstractions from nature or entities stipulated to have certain properties (B)</p> Signup and view all the answers

What is the nature of mathematical axioms?

<p>They are stipulated to have certain properties (A)</p> Signup and view all the answers

What are the major subdisciplines of modern mathematics?

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

What does mathematical activity primarily involve?

<p>Discovery of properties of abstract objects and the use of pure reason to prove them (D)</p> Signup and view all the answers

What do mathematical objects consist of in modern mathematics?

<p>Entities that are stipulated to have certain properties, called axioms (A)</p> Signup and view all the answers

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 considered as starting points of a theory in modern mathematics?

<p>Some basic properties that are considered true (A)</p> Signup and view all the answers

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