2. What did George Cantor discover?
(a) A way to compare the relative sizes of infinite sets.
(b) A way to determine the accuracy of a calculation.
(c) A method to measure a curved area.
(d) A method to measure infinity.

3. What did Cantor's cardinal numbers represent?
(a) Series of prime numbers.
(b) Infinite sets.
(c) Sets of all imaginary numbers.
(d) Finite series.

4. What did Dunham describe as the same between artistic movements and mathematical studies in the 19th century?
(a) They are both fascinated on artificial images, such as photography.
(b) They are both focused on realism.
(c) They are both becoming less abstract.
(d) They are both less concern with reality.

5. Which of the following demonstrates the successive squared denominator series?
(a) 1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . .
(b) 1 + 1/4 + 1/9 + 1/16 . . .
(c) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(d) 1 + 1/2 + 3/4 + 4/5 . . .

6. Who encourages Newton during his studies at Cambridge?
(a) Isaac Barrow.
(b) Henry Stokes.
(c) John Napier.
(d) Henry Briggs.

7. When was Euler born?
(a) 1658.
(b) 1903.
(c) 1796.
(d) 1707.

8. Where does the center of mathematical thinking shift to after Italy?
(a) To Germany and Russia.
(b) To France and Britian.
(c) To Britian and Scotland.
(d) To Turkey and Russia.

9. What did Cantor develop?
(a) A method to factor very large composite numbers.
(b) A system to identify prime numbers of very large size.
(c) A method to find the sum of a geometric series.
(d) A system to compare relative sizes of cardinal numbers.

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

11. What did British scholars accuse Leibniz of?
(a) Plagiarizing Newton's calculus method.
(b) Conspiring the death of Newton.
(c) Stealing Newton's Binomial theorem.
(d) Publishing Newton's work without his approval.

12. What were the main technique(s) that Euler used to find the sum of the series?
(a) Calculus methods.
(b) Trigonometry and basic algebra.
(c) Quadratic sums,
(d) Cubic equations.

13. What hindered Euler's work as he grew older?
(a) His increasing blindness.
(b) His hearing was getting worse.
(c) He had a stroke.
(d) He had very bad arthritis.

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

15. What did Euler prove about 2²ⁿ + 1?
(a) That the statment is sometimes prime and sometimes composite.
(b) That the statement is neither prime nor composite.
(c) That the statement is always a prime number.
(d) That the statement is always a composite number.