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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. What did Dunham describe as the same between artistic movements and mathematical studies in the 19th century?
(a) They are both becoming less abstract.
(b) They are both fascinated on artificial images, such as photography.
(c) They are both focused on realism.
(d) They are both less concern with reality.

2. What range of values did Archimedes determine for pi?
(a) Between 3 10/11 and 3 1/7.
(b) Between 3 and 3 1/2.
(c) Between 3 1/2 and 3 5/8.
(d) Between 3 and 4.

3. What did Gauss set out to prove?
(a) That the sum of the angles in a triangle is 180 degrees.
(b) That Euclid's postulate on straight lines was incorrect.
(c) That a circle can have less than 360 degrees.
(d) That a right angle is always equal to 90 degrees.

4. Where was Neil's Abel from?
(a) Ireland.
(b) Norway.
(c) Great Britian,
(d) Finland.

5. What was the title of Cardano's book which contained the solution to the cubic?
(a) La Magnifica.
(b) Ars Magna.
(c) Elements.
(d) Tarsisia.

Short Answer Questions

1. Who was del Ferro's student?

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

3. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

4. What did Euclid state about pi in Elements?

5. Which of the following did Dunham concentrate on as one of Newton's great advances?

(see the answer key)

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