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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 was true about Hippocrates's proof?
(a) It was fairly easy and simple.
(b) The proof was exceedingly difficult and not understood at the time.
(c) It was useful for circles.
(d) The proof was easy if their was advanced technology available.

2. What didn't Euler attempt?
(a) A series where exponents are even.
(b) A series of sequencially smaller terms.
(c) A series where exponents are odd.
(d) A series starting with the number 1.

3. In what time period did mathematicians find a solution to cubic equations?
(a) Fifteen century.
(b) Twentieth century.
(c) Seventeeth century.
(d) Thirteenth century.

4. What is true about real numbers between 0 and 1?
(a) They are not denumerable.
(b) There is no set for these numbers.
(c) No sum can be determined.
(d) They are denumerable,

5. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) If a new number is found to be composite, then it must have some prime as a divisor.
(b) Take a finite group of primes and add them together, plus one.
(c) After summation, the new number can be prime or composite.
(d) Divide a infinite group of primes by the sum of their composites.

Short Answer Questions

1. Where does the center of mathematical thinking shift to after Italy?

2. How did Cantor finally prove his theory?

3. What concept did Dunham end his book with?

4. Who wrote a treatise that supposed that cubic equations may be impossible to solve?

5. To how many decimal places did Newton determine the number for pi?

(see the answer key)

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