Mathematics: Fundamental Concepts
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Questions and Answers

In modern mathematics, which entities are stipulated to have certain properties?

  • Numbers
  • Theorems
  • Abstract objects (correct)
  • Shapes
  • Which subdiscipline of mathematics focuses on the study of properties and relationships of shapes and their spatial arrangement?

  • Geometry (correct)
  • Algebra
  • Analysis
  • Number theory
  • What does most mathematical activity involve?

  • Discovery of properties of physical objects
  • Experimentation
  • Application of statistical methods
  • Use of pure reason to prove properties of abstract objects (correct)
  • Which area of mathematics is essential in modeling phenomena but its fundamental truths are independent from scientific experimentation?

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    Which area of mathematics is often developed in close correlation with its applications and is grouped under applied mathematics?

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