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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 is true about the successive squared denominator series proposed by the Bernoullis?**
**(a)** The sum converges to 2. **(b)** The sum diverges. **(c)** The sum converges. **(d)** The sum diverges into infinity.

**2. What allowed Cardano to justify publishing his book?**
**(a)** He was punished as a heretic, **(b)** He found Fior's documents which spoke against Tartaglia. **(c)** He was dead, and the book was really published by his student. **(d)** He found del Ferro's orgininal solution to the cubic.

**3. Who, in modern day, is given credit for the calculus method?**
**(a)** Both Newton and Leibniz. **(b)** Newton, **(c)** Leibniz. **(d)** Johann Bernoulli.

**4. Which of the following was one of Euclid's great theorems?**
**(a)** There exists an finite number of prime numbers. **(b)** There exists only infinite and whole numbers. **(c)** Prime numbers are more comples than discrete numbers. **(d)** There exists an infinite number of prime numbers.

**5. What sum did Euler find for the series?**
**(a)** 2. **(b)** The sum was infinite. **(c)** 1. **(d)** π²/6

## Short Answer Questions

**1.** What else, besides a solution to cubic equations, was in Cardano's book?

**2.** What series was Euler most famous for?

**3.** What was true about Hippocrates's proof?

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

**5.** Who encourages Newton during his studies at Cambridge?

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