Concept:The nature of mathematics is characterized by abstraction, logical reasoning, discovery, and a unique symbolic language. It is not a concrete science because mathematical objects are not tangible or physical.
Explanation:First, consider the given options one by one in light of the established nature of mathematics:
1. Mathematics is an abstract science – its concepts (numbers, shapes, relations) are mental constructs, not concrete physical objects. Hence, calling mathematics "concrete" is incorrect.
2. Mathematics is a mental activity – it involves reasoning, problem-solving, and logical thinking, which are mental processes. This is a correct glimpse.
3. Mathematics has its own symbols and language – it uses a specialized notation (e.g., +, √, ∫) to express ideas precisely. This is true.
4. Mathematics is a science of discovery – mathematicians discover relationships and patterns within the abstract framework. This is also accurate.
Thus, only option A contradicts the true nature of mathematics.
Answer:Option A: Mathematics is a concrete science