Mathematics: Concepts and Subdisciplines
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Questions and Answers

Which subdiscipline of mathematics deals with the properties of numbers and integers?

  • Analysis
  • Number theory (correct)
  • Geometry
  • Algebra
  • In modern mathematics, which entities are stipulated to have certain properties?

  • Axioms
  • Abstract objects (correct)
  • Natural phenomena
  • Theorems
  • Which branch of mathematics involves the study of equations and their solutions?

  • Geometry
  • Analysis
  • Algebra (correct)
  • Number theory
  • What type of reasoning is primarily used in mathematical proofs?

    <p>Deductive reasoning</p> Signup and view all the answers

    Which area of knowledge extensively uses mathematics for modeling phenomena?

    <p>Natural sciences</p> Signup and view all the answers

    What are the fundamental truths of mathematics independent from?

    <p>Scientific experimentation</p> Signup and view all the answers

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

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

    When did the concept of a proof and its associated mathematical rigour first appear?

    <p>Greek mathematics</p> Signup and view all the answers

    Which area of mathematics had no practical application before its use in the RSA cryptosystem?

    <p>Integer factorization</p> Signup and view all the answers

    What did the word 'mathematics' mean in Latin and English until around 1700?

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

    What led to a correlated increase in the development of both mathematical innovations and scientific discoveries?

    <p>Interaction between mathematical innovations and scientific discoveries</p> Signup and view all the answers

    What was primarily divided into geometry and arithmetic until the 16th and 17th centuries?

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

    Where does the word 'mathematics' come from?

    <p>Ancient Greek máthēma (μάθημα)</p> Signup and view all the answers

    What is the contemporary Mathematics Subject Classification lists more than?

    <p>60 first-level areas of mathematics</p> Signup and view all the answers

    Who likely constrained the use of the word 'mathematics' to just the study of arithmetic and geometry?

    <p>The Pythagoreans</p> Signup and view all the answers

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