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 (D)</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 (B)</p> Signup and view all the answers

What are the major subdisciplines represented in modern mathematics?

<p>Number theory, algebra, geometry, and analysis (D)</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 (C)</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

In which areas is mathematics essential?

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

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