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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 instruments did the Greeks use to square a shape?**
**(a)** A small grid. **(b)** A compass and a ruled straight-edge. **(c)** A sphere and ruler. **(d)** A pendulum.

**2. What did George Cantor determine to be true of a set of rational numbers?**
**(a)** They are denumerable. **(b)** They are non-denumerable. **(c)** They are all composite numbers. **(d)** They are all prime numbers.

**3. Which of the following was NOT defined by Euclid?**
**(a)** Even numbers. **(b)** Odd numbers. **(c)** Whole numbers. **(d)** Nominal numbers.

**4. What did Newton's calculus involve?**
**(a)** Determining the volume of a sphere. **(b)** Determining the area under a curve. **(c)** Proving the existance of pi. **(d)** Proving the cubic equation.

**5. What was most useful about finding the square of a shape, before Hippocrates?**
**(a)** It was useful in finding the area of oddly shaped pieces of land. **(b)** It was useful in creating simple elevation maps, **(c)** It was useful in determining the distance between two points. **(d)** It was useful in finding the area of circles.

## Short Answer Questions

**1.** Who was del Ferro's student?

**2.** Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

**3.** Who challenged Tartaglia to a contest to solve cubic equations?

**4.** What was aleph naught?

**5.** What range of values did Archimedes determine for pi?

This section contains 341 words(approx. 2 pages at 300 words per page) |