Mathematics Mastery Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Number theory, algebra, geometry, and analysis (correct)
  • Calculus, trigonometry, statistics, and probability
  • Logic, differential equations, combinatorics, and topology
  • Arithmetic, calculus, topology, and algebra

What does most mathematical activity involve?

  • Observation of natural phenomena and recording of data
  • Memorization of formulas and algorithms
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Application of statistical methods to solve problems

What do mathematical objects consist of in modern mathematics?

  • Randomly selected objects with undefined properties
  • Physical objects and tangible entities
  • Objects derived solely from practical applications
  • Abstractions from nature or entities stipulated to have certain properties (correct)

What does a proof in mathematics consist of?

<p>A succession of applications of deductive rules to already established results (C)</p> Signup and view all the answers

What are the starting points of a theory in modern mathematics?

<p>Axioms and some basic properties considered true (D)</p> Signup and view all the answers

What does English grammar encompass?

<p>Structure of words, phrases, clauses, sentences, and whole texts (D)</p> Signup and view all the answers

What form of English does the article describe?

<p>Present-day Standard English (C)</p> Signup and view all the answers

What has modern English largely abandoned from Indo-European?

<p>Inflectional case system (C)</p> Signup and view all the answers

Which word class retains morphological case more strongly in modern English?

<p>Personal pronouns (C)</p> Signup and view all the answers

Where do divergences from the described grammar occur?

<p>Historical, social, cultural, and regional varieties of English (D)</p> Signup and view all the answers

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