Nature of mathematics is -

Correct option is A

Mathematics is the science of logical Reasoning, it involves conversation of abstract concepts into concrete form. It is a systematized, organized and exact branch of science.

Solution:
The nature of mathematics is defined by its logical structure, abstract principles, and deductive reasoning. Mathematics is:

1. Logical: It uses a systematic and coherent approach to problem-solving, relying on established principles and reasoning.
2. Abstract: Mathematical concepts often deal with ideas that do not have physical representation, such as numbers, shapes, and equations.
3. Deductive: It builds new knowledge by deriving conclusions from known axioms, theorems, and previously established results.

Hence, mathematics encompasses all these characteristics, making the correct answer (d) All of the above.

Information Booster:

1. Mathematics is a universal language for expressing and analyzing relationships.
2. It is built on axioms and postulates, which are universally accepted truths.
3. Mathematics is both theoretical (pure) and practical (applied).
4. Logical reasoning in mathematics ensures its reliability.
5. Abstraction allows mathematicians to generalize and solve a wide range of problems.
6. Deductive reasoning helps in proving results with certainty.

Additional Information:

• Logical (a): Involves reasoning that is consistent and based on a set of rules.
• Abstract (b): Refers to the ability to conceptualize beyond physical reality.
• Deductive (c): Deductive reasoning leads from general principles to specific conclusions.
• All of the above (d): Represents the collective essence of the characteristics of mathematics.

Key Points:

• Mathematics underpins many sciences through its logical and abstract framework.
• Deductive methods in mathematics ensure precise and accurate outcomes.