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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. In Elements, how many postulates must be accepted as given?
(a) Five.
(b) Twenty-two.
(c) Eighteen.
(d) Twelve,

2. When was the work of these early thinkers rediscovered again in history?
(a) In the 20th century.
(b) In the 18th century.
(c) In the Renaissance.
(d) In the Elizabethian age.

3. Which is a geometric concept that humans have been aware of since the dawn of agriculture?
(a) Metric system.
(b) Volume.
(c) Area.
(d) Gravity.

4. Heron devised which of the following methods?
(a) A way to apply mathematics to public health.
(b) A way to determine the area of a triangle.
(c) A way to determine the volume in a sphere.
(d) A way to solve binomial equations.

5. How did Euler prove if the number 4,294,967,297 was prime or composite?
(a) He divided it by 2.
(b) He used his own rule of squares.
(c) He factored it.
(d) He used Newton's calulus methods.

Short Answer Questions

1. What sum did Euler find for the series?

2. What is a "depressed cubic"?

3. What was similar about both Euler and Gauss as children?

4. Which of the following could NOT be included as a step in Euclid's great theorem?

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

(see the answer key)

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