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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 series was Euler most famous for?**
**(a)** 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . . **(b)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . . **(c)** 1 + 1/2 + 3/4 + 4/5 . . . **(d)** 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . .

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

**3. Where was Archimedes born?**
**(a)** Olympia. **(b)** Sicily. **(c)** Athens. **(d)** Rome.

**4. Where was Euler born?**
**(a)** Denmark. **(b)** Switzerland. **(c)** Finland. **(d)** Germany.

**5. Which of the following is a quote from Bertrand Russell included by Dunham?**
**(a)** "The study of mathematics is the study of the universe." **(b)** "Mathematics, rightly viewed, posses not only truth, but supreme beauty." **(c)** "Mathematics is truth." **(d)** "Matematicians are the gatekeepers of knowledge."

## Short Answer Questions

**1.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**2.** What was similar about both Euler and Gauss as children?

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

**4.** Which of the following is not denumerable, proven by Cantor's theorem?

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

This section contains 217 words(approx. 1 page at 300 words per page) |