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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. Who was Eratosthanes?**
**(a)** He was a teacher and philosopher. **(b)** He was the first to study political sciences. **(c)** He was the chief librarian, and a mathematician. **(d)** He was a mathematician, and leading doctor.

**2. Which of the following is an example of a perfect number?**
**(a)** 10. **(b)** 20. **(c)** 1. **(d)** 6.

**3. Who eventually solved the sum of the successive squared denominator series?**
**(a)** Jakob Bernoulli. **(b)** Leonhard Euler. **(c)** Johann Bernoulli. **(d)** John Napier.

**4. What was the same about Apollonius and Erosthanes?**
**(a)** They both studied the Universe. **(b)** They were both mathematicians. **(c)** They both calculated the circumference of the earth. **(d)** They were both born in the same year.

**5. How many definitions were stated in Elements?**
**(a)** Five. **(b)** Thirty. **(c)** Eighteen. **(d)** Twenty-three.

## Short Answer Questions

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

**2.** Who was Neil's Abel?

**3.** What did most of 19th century mathematics focus on, as highlighted by Dunham?

**4.** Who was Euler's teacher?

**5.** How many sides did the pentadecagon have, as presented by Euclid?

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