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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. Where did Hippocrates come from?
(a) Rome.
(b) Athens.
(c) Constinople.
(d) Chios.

2. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Composite number.
(b) Perfect number.
(c) Even number.
(d) Nominal number.

3. What did Euclid do in his 48th proposition?
(a) Euclid proved the converse of the Pythagorean Theorem.
(b) Euclid demonstrated how to use the Pythagorean Theorem.
(c) Euclid proved the Pythagorean Theorem.
(d) Euclid demonstrated the faults of the Pythagorean Theorem.

4. What did Gauss do with his best work?
(a) He published it.
(b) He gave it to his son to publish.
(c) He did not publish it.
(d) He gave it to his students.

5. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used his own axioms and propositions to show relationships,
(b) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(c) Euclid constructed squares on the sides of right triangles.
(d) Euclid used propositions about similar angles and parallel lines.

Short Answer Questions

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

2. What did Euclid state about pi in Elements?

3. What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

4. What was the same about Apollonius and Erosthanes?

5. Which city was the center of thinking and learning in Third century BC?

(see the answer key)

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