Mathematics 12th
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Calculus, statistics, trigonometry, and arithmetic
  • Algebra, calculus, logic, and geometry
  • Logic, topology, calculus, and probability
  • Number theory, algebra, geometry, and analysis (correct)

What is the primary method used in mathematical activity?

  • Application of statistical analysis to mathematical problems
  • Collaboration with other mathematicians to form consensus
  • Experimentation and observation of natural phenomena
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)

What do mathematical proofs consist of?

  • A succession of applications of deductive rules to already established results (correct)
  • A series of experimental trials to validate a hypothesis
  • An iterative process of refining mathematical theorems
  • A combination of inductive and deductive reasoning

What are the entities in modern mathematics stipulated to have?

<p>Certain properties called axioms (C)</p> Signup and view all the answers

What are the topics represented in modern mathematics?

<p>Numbers, formulas, shapes, and quantities (C)</p> Signup and view all the answers

What are the major subdisciplines of modern mathematics?

<p>Number theory, algebra, geometry, and analysis (D)</p> Signup and view all the answers

What do mathematical proofs consist of?

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

What does most mathematical activity involve?

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

What are mathematical objects in modern mathematics?

<p>Abstractions from nature or entities stipulated to have certain properties (C)</p> Signup and view all the answers

What is the primary method used in mathematical proofs?

<p>The use of pure reason to prove properties of abstract objects (D)</p> Signup and view all the answers

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