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Out of following, which statement is not correct with regard to characteristics of Mathematics?
Question

Out of following, which statement is not correct with regard to characteristics of Mathematics?

A.

Mathematics is called the Science of logical reasoning.

B.

Mathematics is a way to settle in the mind a habit of reasoning.

C.

Mathematics is not a abstract science.

D.

Mathematics has been defined as the Science of number and space.

Correct option is C

S. Ans. (c)

Solution:
The statement "Mathematics is not an abstract science" is incorrect because Mathematics, by its very nature, is an abstract science. It deals with abstract concepts like numbers, shapes, structures, and relationships, which often do not have physical manifestations but are fundamental to logical reasoning and problem-solving.

Key Explanation:

  1. Mathematics is precise because it relies on exact definitions and logical reasoning.
  2. It is systematic, meaning it has a well-defined structure and progression.
  3. Abstractness is a hallmark of Mathematics, allowing it to model real-world phenomena and purely theoretical ideas alike.
  4. Mathematics is universal and finds applications in diverse domains like physics, economics, computer science, and social sciences.

Hence, the correct answer is (c).


Information Booster:

  1. Abstract Nature: Mathematical concepts like infinity, imaginary numbers, and algebraic structures illustrate its abstract nature.
  2. Universality: Mathematics applies to all scientific disciplines, making it a universal language.
  3. Logical Foundation: Every concept in Mathematics builds logically upon others.
  4. Symbolism: It uses symbols to represent abstract ideas, aiding in concise expression.
  5. Application: Despite its abstractness, Mathematics is essential in practical fields like engineering, medicine, and technology.
  6. Problem-Solving Tool: Abstractness allows it to address complex real-world problems effectively.

Additional Information:

  • (a) Precise and Logical Science: Mathematics relies on accuracy and deductive reasoning, forming the basis of scientific studies.
  • (b) Organized Discipline: It has branches like Algebra, Geometry, and Calculus, each systematically developed.
  • (c) Abstract Science: Mathematics deals with ideas not always physically tangible, such as theories and models.
  • (d) Universality: Its principles are consistent and applicable worldwide, transcending cultural and linguistic barriers.

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