CTET PAPER II 2021 · PYQ · Nature of Mathematics · medium
Which of the following statements is true?
Answer
The correct answer is D: Mathematical statements can be conditional.. 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.
A.Mathematics consists of all the theorems proved in mathematics books.
B.A person good in arithmetical computation is also good in Mathematics and vice-versa.
C.Intuition has no role in generating mathematical knowledge.
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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