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

Which area of knowledge extensively uses mathematics for modeling phenomena?

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

What are the fundamental truths of mathematics independent from?

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

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

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

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

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

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

<p>Mathematics (A)</p> Signup and view all the answers

Where does the word 'mathematics' come from?

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

What is the contemporary Mathematics Subject Classification lists more than?

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

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