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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 was Euler born?**
**(a)** Finland. **(b)** Switzerland. **(c)** Denmark. **(d)** Germany.

**2. What did George Cantor determine to be true of a set of rational numbers?**
**(a)** They are non-denumerable. **(b)** They are denumerable. **(c)** They are all prime numbers. **(d)** They are all composite numbers.

**3. Which city was the center of thinking and learning in Third century BC?**
**(a)** Olympia. **(b)** Alexandria. **(c)** Athens. **(d)** Rome.

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

**5. What was aleph naught?**
**(a)** A method to determine the sum of a series. **(b)** A symbol to state the sum of a series. **(c)** A method to numerate terms. **(d)** A symbol to represent the number of items in a set.

## Short Answer Questions

**1.** What did Cantor struggle with later in his life?

**2.** Where was Archimedes born?

**3.** According to Dunham, who was most able to collect knowledge from around the globe?

**4.** As described by Archimedes, what is always true about he diameter of the circle?

**5.** In general, what did Euclid's number theory describe?

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