, MTE1501 Assignment 4 (COMPLETE ANSWERS) 2025 - DUE 31 August
2025;100% trusted ,comprehensive and complete reliable solution with clear
explanation
Question 1.1 – Define mathematics using the three views: Instrumentalist,
Platonist, and System views (6 marks)
Mathematics can be understood in different ways depending on philosophical
perspectives. The three common views are:
Instrumentalist (Toolbox) View: Mathematics is seen as a collection of
tools or rules for solving real-life problems. It is practical and only valued
for its usefulness.
Example: Using formulas to calculate the area of a classroom or solve a
shopping budget.
Platonist View: Mathematics exists independently of human thought, as
abstract truths that are discovered, not invented. Mathematical objects are
real and timeless.
Example: The concept of a perfect circle exists in theory and can be
reasoned about even if it doesn't exist physically.
System View: Mathematics is viewed as a logical, self-contained system
built on defined rules and symbols. It is more concerned with the internal
consistency of the system than real-world application.
Example: Solving algebraic equations or proving theorems using established
axioms in geometry.
2025;100% trusted ,comprehensive and complete reliable solution with clear
explanation
Question 1.1 – Define mathematics using the three views: Instrumentalist,
Platonist, and System views (6 marks)
Mathematics can be understood in different ways depending on philosophical
perspectives. The three common views are:
Instrumentalist (Toolbox) View: Mathematics is seen as a collection of
tools or rules for solving real-life problems. It is practical and only valued
for its usefulness.
Example: Using formulas to calculate the area of a classroom or solve a
shopping budget.
Platonist View: Mathematics exists independently of human thought, as
abstract truths that are discovered, not invented. Mathematical objects are
real and timeless.
Example: The concept of a perfect circle exists in theory and can be
reasoned about even if it doesn't exist physically.
System View: Mathematics is viewed as a logical, self-contained system
built on defined rules and symbols. It is more concerned with the internal
consistency of the system than real-world application.
Example: Solving algebraic equations or proving theorems using established
axioms in geometry.
