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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 his later life, what position did Isaac Newton hold?
(a) Angelican father.
(b) Professor of philosophy in Paris.
(c) Principle science advisor to Charles II.
(d) Warden of the Mint.

2. Which of the following is not denumerable, proven by Cantor's theorem?
(a) A set of transcendental numbers.
(b) A set of rational numbers.
(c) A set of a geometric series.
(d) A set of imaginary numbers.

3. What instruments did the Greeks use to square a shape?
(a) A pendulum.
(b) A small grid.
(c) A sphere and ruler.
(d) A compass and a ruled straight-edge.

4. Which of the following was NOT defined by Euclid?
(a) Even numbers.
(b) Odd numbers.
(c) Whole numbers.
(d) Nominal numbers.

5. Who were Johann and Jakob Bernoulli?
(a) Twin brothers and students of Newton.
(b) Cousins and students with Leibniz in Paris.
(c) Cousins and students with Newton at Cambridge.
(d) Brothers and students of Leibniz.

Short Answer Questions

1. Which of the following best describes Cardano's character?

2. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

3. Who, in modern day, is given credit for the calculus method?

4. What did Euclid do in his 48th proposition?

5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

(see the answer key)

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