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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. How old was Mochizuki when he already had his doctorate?

2. When did Grothendieck win the Fields Medal?

3. How did de Broglie's comrade during World War I die?

4. How old was Schrodinger in 1923?

5. Who did Bohr notify about Heisenberg's paper and say it would have enormous implications?

Short Essay Questions

1. Who was one of the first people aware of the existence of Mochizuki's proof, and what was learned when he sent the proof to Ivan Fesenko?

2. Why did Grothendieck's professor Laurent Schwartz give him an article he published, and what did Grothendieck do with the article?

3. How sick did Heisenberg get while he was at Heligoland?

4. How did Labutut describe how Schrodinger created wave mechanics?

5. What system did Heisenberg create using only direct observation?

6. Who was Niels Bohr?

7. What analogy is used to describe Heisenberg's discovery?

8. How did de Broglie become interested in science?

9. What deprivations did Erwin Schrodinger suffer during the interwar period?

10. What was Vienna like after the Great War?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Schrodinger used metaphors to describe subatomic particles. How did he use metaphors to describe subatomic particles? Why did Werner Heisenberg hate using metaphors for subatomic particles and what did he believe should be used instead?

Essay Topic 2

Mochizuki and Grothendieck’s research had to do with pure mathematics. What is the difference between pure and applied mathematics? Why are they both important?

Essay Topic 3

Schwarzchild solved equations of general relativity. How did the solution affected his mental state?

(see the answer keys)

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