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

**2. What were the proofs in Elements based on?**
**(a)** Lindeman's method. **(b)** Novel notions. **(c)** Ancient greek geometry. **(d)** Basic definitions.

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

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

**5. What did most of 19th century mathematics focus on, as highlighted by Dunham?**
**(a)** Algebra. **(b)** The immediately practical. **(c)** The theoretical. **(d)** Geometry.

## Short Answer Questions

**1.** Which of the following was NOT one of the basic definitions in Elements?

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

**3.** Which of the following could NOT be included as a step in Euclid's great theorem?

**4.** What did Cantor find after extending the continuum between 0 and 1 into two dimensions?

**5.** Who was del Ferro's student?

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