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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. How did Archimedes arrive at a number value for pi?**
**(a)** By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal. **(b)** By constructing multi-sided polygons inside and outside a circle and determining their perimeters. **(c)** By proving that pi could not be a negative number. **(d)** By proving pi could not be equal to one.

**2. Who challenged Tartaglia to a contest to solve cubic equations?**
**(a)** Pacioli. **(b)** Fior. **(c)** Cardano. **(d)** del Ferro.

**3. That properties of specific shapes were early Egyptians aware of?**
**(a)** Pi and the diameter of a circle. **(b)** Irregular solids. **(c)** Right triangles. **(d)** Parallelograms.

**4. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The concept of constructing useful mathematics. **(b)** The ability to measure angles. **(c)** The concept of providing a logical proof. **(d)** The ability to find square roots.

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

## Short Answer Questions

**1.** What concept did Dunham end his book with?

**2.** What was known about pi, during Archimedes' time?

**3.** What series was Euler most famous for?

**4.** Where did George Cantor live in the 1860s and 1870s?

**5.** What was most noticeable about Euler at a young age?

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