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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. When was Euler born?**
**(a)** 1658. **(b)** 1707. **(c)** 1796. **(d)** 1903.

**2. What did Euler prove about 2²ⁿ + 1?**
**(a)** That the statement is always a prime number. **(b)** That the statement is neither prime nor composite. **(c)** That the statment is sometimes prime and sometimes composite. **(d)** That the statement is always a composite number.

**3. Who was Heron?**
**(a)** A matematician from Alexanderia. **(b)** A philosopher from Greece. **(c)** A politician from Rome. **(d)** A physician from the far East.

**4. Which is one of the common notions presented in Elements?**
**(a)** "The inverse of a line makes a circle." **(b)** "Points with equal values can be connected with a line of equal value." **(c)** "Things with are equal have an inverse that is equal." **(d)** "Things which are equal to the same thing are also equal to each other."

**5. Who was the author of the book Elements?**
**(a)** Hippocrates. **(b)** Euclid. **(c)** Lindemann. **(d)** Einstein.

## Short Answer Questions

**1.** Which of the following best describes Cardano's character?

**2.** In Elements, how many postulates must be accepted as given?

**3.** When was the work of these early thinkers rediscovered again in history?

**4.** What did Dunham consider as Archimedes's "masterpiece"?

**5.** Which of the following is an example of a perfect number?

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