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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 did Cantor suspect about transfinite cardinals?
(a) That there are transfinite cardinals much less than c.
(b) That the sum of the series is infinite.
(c) That the sum of the series is finite.
(d) That there are transfinite cardinals even greater than c.

2. What did Cantor find after extending the continuum between 0 and 1 into two dimensions?
(a) That the series is infinite.
(b) That the set is infinite.
(c) That the set is still equal to c.
(d) That the set is equal to 1.

3. What did Gauss set out to prove?
(a) That a circle can have less than 360 degrees.
(b) That Euclid's postulate on straight lines was incorrect.
(c) That the sum of the angles in a triangle is 180 degrees.
(d) That a right angle is always equal to 90 degrees.

4. Who acted as the gate keepers of knowledge?
(a) Roman emporers.
(b) Greek tradesman.
(c) Greek philosophers.
(d) Arabian scholars.

5. What did Apollonius work with in mathematics?
(a) He develped a way to measure the volume of a sphere.
(b) He discovered the algrebraic equation.
(c) He worked on advanced algebra.
(d) He worked on conics.

Short Answer Questions

1. What did Newton's calculus involve?

2. What did Dunham consider extraordinary about the Elements?

3. In what area was Gauss especially interested?

4. When was Euler born?

5. What did Euler's sum surprisingly connect?

(see the answer key)

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