Mathematics trigonometry
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Questions and Answers

Which subdiscipline of mathematics is concerned with the properties of abstract objects?

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

  • Geometric shapes
  • Abstractions from nature (correct)
  • Integers and prime numbers
  • Abstract objects
  • What does a proof in mathematics consist of?

  • Randomly established results
  • Empirical evidence
  • A succession of deductive rules (correct)
  • Intuitive reasoning
  • What are the fundamental truths of mathematics independent from?

    <p>Any scientific experimentation</p> Signup and view all the answers

    Which academic discipline is essential in the natural sciences, engineering, and finance?

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

    Which major subdiscipline of mathematics deals with the study of shapes and the spaces in which they are contained?

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

    Which ancient Greek mathematician is known for introducing the concept of a proof and its associated mathematical rigor?

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

    Which mathematical problem, dating back to 300 BC, had no practical application until its use in the RSA cryptosystem?

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

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

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

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

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

    Which of the following areas of mathematics is often grouped under applied mathematics?

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

    Which Pythagorean school of thought was known as the mathēmatikoi?

    <p>Learners</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>Pythagoras</p> Signup and view all the answers

    Which area of mathematics had a foundational crisis at the end of the 19th century, leading to systematization of the axiomatic method?

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

    What did the word 'mathēma (μάθημα)' mean in Ancient Greek?

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

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