গণিতে বিভিন্ন বিষয়ে মূল প্রশ্নোত্তর
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Logic, topology, probability, and differential equations
  • Set theory, combinatorics, linear algebra, and calculus
  • Number theory, algebra, geometry, and analysis (correct)
  • Calculus, statistics, trigonometry, and arithmetic
  • What is the primary method used in mathematical activity?

  • Experimental observations and empirical testing
  • Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
  • Data analysis and statistical inference
  • Intuitive guesswork and trial-and-error
  • What do mathematical proofs consist of?

  • A series of experimental trials leading to a conclusion
  • A succession of applications of deductive rules to already established results (correct)
  • A collection of random mathematical facts
  • An analysis of empirical data
  • What are the objects of mathematical proofs in modern mathematics?

    <p>Entities that are stipulated to have certain properties, called axioms</p> Signup and view all the answers

    What is the nature of mathematical activity in modern mathematics?

    <p>Involves the discovery of properties of abstract objects and the use of pure reason to prove them</p> Signup and view all the answers

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