MTE1501
Assignment 4
2024 - DUE 20
September
2024
[Type the document subtitle]
[Pick the date]
[Type the company name]
, Exam (elaborations)
MTE1501 Assignment 4 (COMPLETE ANSWERS) 2024
(602580) - DUE 20 September 2024
Course
Mathematics 1 for Teachers (MTE1501)
Institution
University Of South Africa (Unisa)
Book
Principles of Mathematics Book 1 Teacher Guide
MTE1501 Assignment 4 (COMPLETE ANSWERS) 2024 - DUE 20 September
2024 ; 100% TRUSTED Complete, trusted solutions and explanations.
1. Amongst the ideas of the early mathematics philosophers, which statement
is NOT true? Options: 1. Aristotle uses empirical study emanating from
experiments and observations. 2. Plato reasoned that mathematics is based
on experimentation and abstraction. 3. Hilbert believed that mathematics can
exist in the formal having concrete representations in the mind. 4. Aristotle
said that we can understand mathematics through experimentation,
abstraction, and observation. 2. Aristotle's beliefs on the nature of
mathematics are based on the following: Options: 1. The objects of
mathematics had an existence on their own. 2. The physical, the
mathematical, and the theological into which knowledge could be divided. 3.
Ideas of mathematics could be viewed as a subset of the ideas. 4. Logicism,
intuitionism, and experimentation. 3. In the
Plato’s View on Mathematics
Plato was an idealist philosopher, meaning he believed in the existence of a higher realm of
reality, which he called the World of Forms or Ideas. Here's a detailed breakdown of Plato's
views on mathematics:
1. The Theory of Forms (Ideas):
Plato's central belief is that everything in the physical world is just a shadow or
imperfect copy of a perfect form that exists in a non-physical realm. For example:
o Mathematical objects, like numbers or shapes (triangles, circles, etc.), exist as
perfect, eternal ideas in this world of Forms.
Assignment 4
2024 - DUE 20
September
2024
[Type the document subtitle]
[Pick the date]
[Type the company name]
, Exam (elaborations)
MTE1501 Assignment 4 (COMPLETE ANSWERS) 2024
(602580) - DUE 20 September 2024
Course
Mathematics 1 for Teachers (MTE1501)
Institution
University Of South Africa (Unisa)
Book
Principles of Mathematics Book 1 Teacher Guide
MTE1501 Assignment 4 (COMPLETE ANSWERS) 2024 - DUE 20 September
2024 ; 100% TRUSTED Complete, trusted solutions and explanations.
1. Amongst the ideas of the early mathematics philosophers, which statement
is NOT true? Options: 1. Aristotle uses empirical study emanating from
experiments and observations. 2. Plato reasoned that mathematics is based
on experimentation and abstraction. 3. Hilbert believed that mathematics can
exist in the formal having concrete representations in the mind. 4. Aristotle
said that we can understand mathematics through experimentation,
abstraction, and observation. 2. Aristotle's beliefs on the nature of
mathematics are based on the following: Options: 1. The objects of
mathematics had an existence on their own. 2. The physical, the
mathematical, and the theological into which knowledge could be divided. 3.
Ideas of mathematics could be viewed as a subset of the ideas. 4. Logicism,
intuitionism, and experimentation. 3. In the
Plato’s View on Mathematics
Plato was an idealist philosopher, meaning he believed in the existence of a higher realm of
reality, which he called the World of Forms or Ideas. Here's a detailed breakdown of Plato's
views on mathematics:
1. The Theory of Forms (Ideas):
Plato's central belief is that everything in the physical world is just a shadow or
imperfect copy of a perfect form that exists in a non-physical realm. For example:
o Mathematical objects, like numbers or shapes (triangles, circles, etc.), exist as
perfect, eternal ideas in this world of Forms.
