Mathematics: Structure and Subdisciplines
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Questions and Answers

Which subdiscipline of mathematics is concerned with the study of numbers and their properties?

  • Analysis
  • Number theory (correct)
  • Algebra
  • Geometry
  • What type of reasoning is primarily used to prove properties of abstract objects in mathematics?

  • Analogical reasoning
  • Abductive reasoning
  • Deductive reasoning (correct)
  • Inductive reasoning
  • In modern mathematics, what are entities stipulated to have certain properties called?

  • Hypotheses
  • Axioms (correct)
  • Conjectures
  • Theorems
  • Which field extensively uses mathematics for modeling phenomena such as population growth and infectious disease spread?

    <p>Social 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

    Which area of knowledge includes topics related to shapes and the spaces in which they are contained?

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

    Which of the following best represents the concept of 'pure mathematics'?

    <p>Mathematics developed independently of any practical application</p> Signup and view all the answers

    When did the problem of integer factorization find its practical application?

    <p>During the 16th and 17th centuries</p> Signup and view all the answers

    What is the etymology of the word 'mathematics' according to the text?

    <p>It comes from Ancient Greek máthēma, meaning 'that which is learnt'</p> Signup and view all the answers

    What was the term 'mathematics' commonly associated with in Latin and English until around 1700?

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

    Which mathematical concept first appeared in Greek mathematics, notably in Euclid's Elements?

    <p>Proof and mathematical rigour</p> Signup and view all the answers

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

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

    What did Saint Augustine's warning about 'mathematici' mean?

    <p>'Mathematici' means astrologers or astronomers</p> Signup and view all the answers

    What did the Pythagoreans primarily constrain the use of the word 'mathematics' to?

    <p>'Mathematics' as a study of arithmetic and geometry</p> Signup and view all the answers

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

    <p>'Mathematics' as a study related to learning and science</p> Signup and view all the answers

    What did the change in meaning of the term 'mathematics' result in during 1500 to 1800?

    <p>'Mathematics' gradually shifted from astrology to its present meaning</p> Signup and view all the answers

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