Write a short essay -- no more than 500 words -- about one of the following two topics:
1. Plato held that material reality is but a shadow of a fundamental reality of timeless and unchanging forms (or 'ideas', or 'universals'). How was Plato's concept influenced by Pythagoras' conception of numbers as the fundamental reality? [10]
2. Pythagoras is also supposed to have to done some work on mathematics related to music, a fact mysteriously omitted from our text. Describe this work. [10]
Again, please be nice to your fellow classmates and do not take any relevant books out of Bata Library. Replace them on the shelves, exactly where you found them!
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Department of Mathematics
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Trent University