Which of the following is least appropriate about the nature of mathem...
Key Points
Nature of mathematics:-
Thus, the least appropriate statement about the nature of mathematics is Mathematics is inclusive in nature as it always includes social subjectivities.
Hint
- Mathematics is inclusive in nature as it always includes social subjectivities: This statement is not accurate. Mathematics is not directly related to social subjectivities. It is a discipline that deals with abstract concepts, logical reasoning, and objective truths. While mathematics can be applied to various real-world problems, its nature itself is not intrinsically linked to social subjectivities.
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Which of the following is least appropriate about the nature of mathem...
Understanding the Statements
To analyze the correctness of each statement regarding the nature of mathematics, we need to break down each one:
Statement I: Mathematical concepts are hierarchical
- Mathematics is built upon foundational concepts.
- New topics often depend on understanding previous ones, indicating a structured hierarchy.
- This statement is appropriate, as it reflects the essence of how mathematical knowledge is organized.
Statement II: Mathematics is inclusive as it always includes social subjectivities
- Mathematics is often viewed as objective and universal rather than subjective.
- While social contexts can influence how mathematics is applied, the core concepts themselves are not inherently inclusive of social subjectivities.
- Thus, this statement is the least appropriate regarding the nature of mathematics.
Statement III: Logical reasoning plays an important role in mathematics
- Logical reasoning is fundamental to mathematical practices.
- It underpins problem-solving, proofs, and mathematical argumentation.
- This statement is appropriate as it highlights a critical aspect of mathematical thinking.
Conclusion
Based on the analysis:
- Statement I is appropriate.
- Statement II is least appropriate.
- Statement III is appropriate.
Thus, the correct answer being option 'B' indicates that only Statement II is inappropriate when discussing the nature of mathematics.