Mathematics: Concepts and Subdisciplines
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Questions and Answers

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

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

  • Theorems
  • Properties
  • Axioms (correct)
  • Abstract objects
  • What type of reasoning is predominantly used in mathematical activity to prove properties of abstract objects?

  • Abductive reasoning
  • Deductive reasoning (correct)
  • Analogical reasoning
  • Inductive reasoning
  • What does a proof in mathematics consist of?

    <p>Succession of applications of deductive rules to already established results</p> Signup and view all the answers

    Which academic discipline considers the fundamental truths of mathematics to be independent from any scientific experimentation?

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

    What does mathematics extensively contribute to in various fields such as natural sciences, engineering, and finance?

    <p>Modeling phenomena</p> Signup and view all the answers

    What does the word 'mathematics' mean in Ancient Greek?

    <p>That which is learnt or what one gets to know</p> Signup and view all the answers

    Which of the following best describes the Pythagoreans' use of the term 'mathēmatikoi'?

    <p>Learners in the modern sense</p> Signup and view all the answers

    What significant change in meaning occurred with the term 'mathematics' around 1500 to 1800?

    <p>It shifted from 'astrology' to 'mathematics'</p> Signup and view all the answers

    What did the foundational crisis of mathematics at the end of the 19th century lead to?

    <p>Introduction of the axiomatic method</p> Signup and view all the answers

    Which two main fields were primarily divided at the beginning of mathematics?

    <p>Natural numbers and fractions</p> Signup and view all the answers

    When did algebra and infinitesimal calculus emerge as new fields in mathematics?

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

    What is the significance of Euclid's Elements in the history of mathematics?

    <p>First appearance of a proof and mathematical rigour</p> Signup and view all the answers

    'Máthēma' in Ancient Greek means:

    <p>'That which is learnt'</p> Signup and view all the answers

    'Mathēmatikós' (μαθηματικός) means:

    <p>'Related to learning'</p> Signup and view all the answers

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