View a FREE sample

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

Multiple Choice Questions

1. What did Cantor define as the continuum?
(a) The square root of any real number.
(b) All imaginary and real numbers.
(c) All imaginary numbers.
(d) Real numbers between 0 and 1.

2. Which of the following was an important proposition given by Euclid's number theory?
(a) Numbers from one to ten are only divisible by composite numbers.
(b) Any composite number is divisible by some prime number.
(c) Any perfect number is divisible by some composite number.
(d) Any even number is divisible by 3.

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

4. What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?
(a) The sum converges to infinity.
(b) The sum grows ever smaller.
(c) The sum converges to a finite term.
(d) The sum diverges to infinity.

5. Where was Neil's Abel from?
(a) Great Britian,
(b) Finland.
(c) Ireland.
(d) Norway.

Short Answer Questions

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

2. What was the title of Cardano's book which contained the solution to the cubic?

3. What did Cantor develop?

4. After Hippocrates, what shape did the Greeks attempt to square without success?

5. Who was Neil's Abel?

(see the answer key)

This section contains 301 words (approx. 2 pages at 300 words per page) View a FREE sample