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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 is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Quadrature. **(b)** Triangulation. **(c)** Square root. **(d)** Cubation.

**2. In what area was Gauss especially interested?**
**(a)** The circumference of Earth. **(b)** The elements of geometry. **(c)** The proof of the infinite series. **(d)** The elements of number theory.

**3. In the Bernoulli's time, what was the current definition of a series?**
**(a)** The sum of a finite series of terms. **(b)** The infinite sum of a convergent series. **(c)** The finite sum of a divergent series. **(d)** The sum of a never-ending series of terms.

**4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Triangle. **(b)** Hexagon. **(c)** Hyperbola. **(d)** Pentagon.

**5. Where was Neil's Abel from?**
**(a)** Ireland. **(b)** Finland. **(c)** Great Britian, **(d)** Norway.

## Short Answer Questions

**1.** Which phrase best describes Newton as a student at Cambridge?

**2.** Which of the following was NOT true about Archimedes, according to Dunham?

**3.** How do we know about Hippocrates proofs and theorems?

**4.** That properties of specific shapes were early Egyptians aware of?

**5.** What is true about real numbers between 0 and 1?

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