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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 George Cantor discover?**
**(a)** A way to compare the relative sizes of infinite sets. **(b)** A way to determine the accuracy of a calculation. **(c)** A method to measure infinity. **(d)** A method to measure a curved area.

**2. Where did Newton go to school before he went to Cambridge?**
**(a)** The King's School. **(b)** Cambridge Prep. **(c)** Charles II Grammar School. **(d)** Oxford Grammar School.

**3. Which mathematician was first to take the challenge to solve cubic equations?**
**(a)** Scipione del Ferro. **(b)** Niccolo Fontana. **(c)** Luca Pacioli. **(d)** Tartaglia.

**4. What did Cantor develop?**
**(a)** A system to compare relative sizes of cardinal numbers. **(b)** A method to factor very large composite numbers. **(c)** A method to find the sum of a geometric series. **(d)** A system to identify prime numbers of very large size.

**5. In his later life, what position did Isaac Newton hold?**
**(a)** Angelican father. **(b)** Warden of the Mint. **(c)** Principle science advisor to Charles II. **(d)** Professor of philosophy in Paris.

## Short Answer Questions

**1.** To how many decimal places did Newton determine the number for pi?

**2.** Which of the following is a quote from Bertrand Russell included by Dunham?

**3.** Which of the following becomes an important definition in mathematics that was first presented in Elements?

**4.** How did Archimedes arrive at a number value for pi?

**5.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

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