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This quiz consists of 5 multiple choice and 5 short answer questions through Cantor and the Transfinite Realm.

Multiple Choice Questions

1. Which of the following was one of Gauss' early discoveries?
(a) A method to simplify Newton's calulus.
(b) A demonstration of the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . .
(c) A proof that the Pythagorean Theorem was correct.
(d) A way to construct a regular 17-sided polygon.

2. According to Dunham, who was most able to collect knowledge from around the globe?
(a) Arabian scholars.
(b) Greek philosophers.
(c) Roman emporers.
(d) Greek tradesman.

3. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?
(a) 0.
(b) Infinity.
(c) 2.
(d) Nobody has determined the sum.

4. To how many decimal places did Newton determine the number for pi?
(a) Three places.
(b) Nine places.
(c) Twelve places.
(d) Eight places.

5. Which of the following best describes Cardano's character?
(a) Religious.
(b) Eccentric.
(c) Arrogant.
(d) Flirtacious.

Short Answer Questions

1. What was most useful about finding the square of a shape, before Hippocrates?

2. What did Dunham describe as the same between artistic movements and mathematical studies in the 19th century?

3. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

4. What provided most of the content in the book Elements?

5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

(see the answer key)

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