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CTET PAPER II 2021 · PYQ · Nature of Mathematics · medium

Which of the following statements is true?

  1. A.Mathematics consists of all the theorems proved in mathematics books.
  2. B.A person good in arithmetical computation is also good in Mathematics and vice-versa.
  3. C.Intuition has no role in generating mathematical knowledge.
  4. D.Mathematical statements can be conditional.✓ Correct

Explanation

Mathematical statements can indeed be conditional (e.g., 'If a triangle is equilateral, then all its angles are equal'). Mathematics is far more than a collection of theorems in textbooks—it is a way of thinking and reasoning. Arithmetical proficiency and mathematical ability are distinct; one can be good at calculations but weak in reasoning, and vice-versa. Intuition plays an important role in conjecturing and discovering mathematical ideas. Hence, conditional mathematical statements is the true statement.
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