M7 Problem Set
You may select any 5 of the 6 problems.
1. What are the key claims of Platonism and formalism? Name one mathematician from each camp.
2. Discuss one example of a fractal pattern. Explain what it means for a pattern to be self-similar. How does the pattern you chose show self-similarity?
3. What does it mean for something to be a “dynamical system?” What is a “dynamical equation?” What does it mean if a system is “sensitive to initial conditions?” Give one example of a dynamical system that has been shown to be sensitive to initial conditions.
4. Name three of the key contributors to modern computing and explain the contribution of each in a sentence or two.
5. We have seen many kinds of numbers. List as many sets of numbers (by name) as you can and give a brief description of each.
6. Describe the key contributions of one female or non-Western mathematician from 1900 on.
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