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

2. What was aleph naught?
(a) A method to numerate terms.
(b) A symbol to represent the number of items in a set.
(c) A method to determine the sum of a series.
(d) A symbol to state the sum of a series.

3. After Hippocrates, what shape did the Greeks attempt to square without success?
(a) Circle.
(b) Parallelogram.
(c) Pentagon.
(d) Hemisphere.

4. Where was Archimedes born?
(a) Sicily.
(b) Rome.
(c) Olympia.
(d) Athens.

5. Which of the following was NOT one of Gauss' discoveries?
(a) "Non-euclidean" geometry.
(b) That angles in a triangles can not add up to more than 180 degrees.
(c) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
(d) That under Euclid's definition parallel lines can intersect.

Short Answer Questions

1. What was most noticeable about Euler at a young age?

2. What did Cantor's work do to mathematics?

3. Heron devised which of the following methods?

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

5. What did Newton's calculus involve?

(see the answer key)

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