ทดสอบความรู้คณิตศาสตร์ทั่วไปและทฤษฎีจำนวน
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Questions and Answers

What are the major subdisciplines of modern mathematics as mentioned in the text?

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

    • What is the primary method used in mathematical activity as per the text?

  • Observation of natural phenomena and empirical testing
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Experimentation and trial-and-error approach
  • Application of statistical analysis and data interpretation

    • What do mathematical proofs consist of according to the text?

  • A combination of inductive and deductive reasoning
  • A series of experimental trials and observations
  • A process of consensus-building among mathematicians
  • A succession of applications of deductive rules to already established results (correct)

    • What are the entities in modern mathematics stipulated to have certain properties called?

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

    What is the general consensus among mathematicians about a common definition for their academic discipline?

    <p>There is no general consensus</p> Signup and view all the answers

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