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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 Heron's work deal with?**
**(a)** Philosophical questions on the origins of the universe. **(b)** Practical mathematics applications. **(c)** Theoretical mathematics. **(d)** Practical solutions to public problems.

**2. Besides being a mathematician, what else other work was Archimedes famous for?**
**(a)** Doctor and writer, **(b)** Artist and musician. **(c)** Politician. **(d)** Inventor and scientist.

**3. On who's work did Euler base his number theory?**
**(a)** Leibniz's. **(b)** Newton's. **(c)** Bernoulli's. **(d)** Fermat's.

**4. What did Cantor define as the continuum?**
**(a)** All imaginary numbers. **(b)** All imaginary and real numbers. **(c)** Real numbers between 0 and 1. **(d)** The square root of any real number.

**5. How many sides did the pentadecagon have, as presented by Euclid?**
**(a)** Fifteen. **(b)** Twenty. **(c)** Ten. **(d)** Five.

## Short Answer Questions

**1.** Which of the following is true in modern math about twin primes?

**2.** In the Bernoulli's time, what was the current definition of a series?

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

**4.** What is one proof that Euler was able to prove?

**5.** What was true when Euler used n = 5 in the statement 2²ⁿ + 1?

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