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

**2. What concept did Dunham end his book with?**
**(a)** Archimedes and the infinite series. **(b)** Cantor and his voyage into the infinite. **(c)** Newton's method of calculus. **(d)** Heron's triangulated area.

**3. According to Euclid, when is a triangle a right triangle?**
**(a)** When a triangle has a side whose square is the sum of the squares of the two legs. **(b)** When a triangle does not have a side which can be considered a hypotenuse. **(c)** When a triangle has three sides whose squares are equal to the area of the triangle. **(d)** When a triangle can be constructed with three unequal sides.

**4. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Line. **(b)** Straight Line. **(c)** Parabola. **(d)** Right angles.

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

## Short Answer Questions

**1.** What did Gauss construct?

**2.** How did Gauss feel about his best work?

**3.** Which words best describe how solid proofs were developed in Elements?

**4.** What were the proofs in Elements based on?

**5.** Who were Johann and Jakob Bernoulli?

This section contains 325 words(approx. 2 pages at 300 words per page) |