*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through Cantor and the Transfinite Realm.

## Multiple Choice Questions

**1. Which of the following was true about Cardano, according to Dunham?**
**(a)** He was not a mathematician. **(b)** He was a priest. **(c)** He was jailed for heresy. **(d)** He had three wives.

**2. Which of the following is an example of a postulate that must be accepted in Elements?**
**(a)** It is possible to draw an arc with any three points. **(b)** It is possible to draw a straight line between an infinite number of points. **(c)** It is possible to connect any two points with a line and make a circle. **(d)** It is possible to draw a circle that contains no lines.

**3. Where was the modern number system developed?**
**(a)** In the East. **(b)** In ancient Rome. **(c)** In the West. **(d)** In ancient Alexanderia.

**4. In the Bernoulli's time, what was the current definition of a series?**
**(a)** The finite sum of a divergent series. **(b)** The sum of a never-ending series of terms. **(c)** The infinite sum of a convergent series. **(d)** The sum of a finite series of terms.

**5. What do we know in modern times about Heron?**
**(a)** We know he lived in Rome. **(b)** We know he was an influencial scholar, but we don't know who his students were. **(c)** We know very little, but much of his work survives. **(d)** We know he was a teacher and philosopher but much of his work has been lost.

## Short Answer Questions

**1.** Which of the following was NOT true about Archimedes, according to Dunham?

**2.** What did Euler prove about 2²ⁿ + 1?

**3.** What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

**4.** Which of the following was NOT defined by Euclid?

**5.** According to Euclid, when is a triangle a right triangle?

This section contains 417 words(approx. 2 pages at 300 words per page) |