MTE1501 Assignment 4 Due 20 Sept 2024

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MTE1501 Assignment 4 Due 20 Sept 2024

1. Read paragraph 1.4 of your Tutorial Letter 501 and answer the following question: Amongst the ideas of the early mathematics philosophers, which statement is NOT true?

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 representatioin the mind.

4) Aristotle said that we can understand mathematics through experimentation,abstractioand observation

2. Aristotle’s beliefs on the nature of mathematics are based on the following:

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.