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

**2. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of the Pythagorean Theorem. **(b)** The limit of the decompressed cubic method. **(c)** The limit of logical geometric proofs. **(d)** The limit of algebra.

**3. What did Gauss construct?**
**(a)** A proof that demonstrates Newtonian physics. **(b)** A system where the angles of a triangle add up to fewer than 180 degrees. **(c)** A proof that demonstrated the circumference of Earth. **(d)** A system where the angles of a triangle add up to more than 180 degrees.

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

**5. How did Cantor finally prove his theory?**
**(a)** By extension of the Pythagorean Theorem. **(b)** By extension of the infinite series. **(c)** By using basic algebra. **(d)** By refining and expanding set theory.

## Short Answer Questions

**1.** What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

**2.** Why did Cardano take an oath to secrecy?

**3.** Where was Neil's Abel from?

**4.** Who was the author of the book Elements?

**5.** Which of the following was NOT a field in which Isaac Newton made enormous advances?

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