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Which of the following is least appropriate about the nature of mathematics?
Statement I: 
Mathematical concepts are hierarchical
Statement II: Mathematics in inclusive as it always includes social subjectivities

Statement III: Logical reasoning plays an important role in mathematics
  • a)
    Only II 
  • b)
    Only III 
  • c)
    Both I and III
  • d)
    All of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following is least appropriate about the nature of mathem...
Key Points
Nature of mathematics:-
  • Mathematical concepts are hierarchical in nature: This statement is appropriate and accurate. Mathematics builds upon foundational concepts, and understanding more complex topics often requires a solid understanding of simpler ones. For example, to understand algebra, one needs a strong foundation in arithmetic.
  • Mathematics can be understood as a study of patterns: This statement is also appropriate and widely recognized. Mathematics involves the study of patterns, structures, and relationships between quantities and objects. Identifying and understanding patterns is a fundamental aspect of mathematics.
  • Logical reasoning plays an important role in mathematics: This statement is appropriate and crucial. Logical reasoning is a fundamental aspect of mathematics. It involves making logical deductions and drawing conclusions based on evidence and mathematical principles. Logical reasoning is essential for understanding mathematical concepts and solving problems.
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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Most Upvoted Answer
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.
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Which of the following is least appropriate about the nature of mathematics?Statement I:Mathematical concepts are hierarchicalStatement II:Mathematics in inclusive as it always includes social subjectivitiesStatement III: Logical reasoning plays an important role in mathematicsa)Only IIb)Only IIIc)Both I and IIId)All of the aboveCorrect answer is option 'B'. Can you explain this answer?
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