Mathematics: Topics and Subdisciplines
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Questions and Answers

What is the narrower and more technical meaning of the word 'mathematics'?

  • The study of natural numbers and fractions
  • The study of statistics and game theory
  • The study of arithmetic and geometry (correct)
  • The mathematical art
  • Which area of mathematics had no practical application before its use in the RSA cryptosystem?

  • Algebra
  • Statistics
  • Integer factorization (correct)
  • Infinitesimal calculus
  • In Greek mathematics, which concept first appeared notably in Euclid's Elements?

  • Infinitesimal calculus
  • Proof and mathematical rigour (correct)
  • Algebra
  • Integer factorization
  • What did the Pythagoreans constrain the use of the word 'mathēmatikoi' to mean?

    <p>Learners of arithmetic and geometry</p> Signup and view all the answers

    What did the term 'mathematics' more commonly mean in Latin and in English until around 1700?

    <p>Astrology</p> Signup and view all the answers

    What are the major subdisciplines represented in modern mathematics?

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

    What is the primary method of mathematical activity?

    <p>The discovery of properties of abstract objects and the use of pure reason to prove them</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</p> Signup and view all the answers

    In which areas is mathematics essential?

    <p>Natural sciences, engineering, medicine, finance, computer science, and social sciences</p> Signup and view all the answers

    Are the fundamental truths of mathematics dependent on scientific experimentation?

    <p>No, the fundamental truths of mathematics are independent from any scientific experimentation</p> Signup and view all the answers

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