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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. Heron's work referred to the work of what other famous scholar?
(a) Euclid.
(b) Thales.
(c) Archimedes.
(d) Hippocrates.

2. Why did Cardano take an oath to secrecy?
(a) It was the only way he could become a priest,
(b) It was the only way to get Tartaglia's solution to cubic equations.
(c) It was to the only way to win the contest with Fior,
(d) It was the only way to get his book published.

3. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
(a) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.
(b) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.
(c) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.
(d) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.

4. Dunham showed that Heron's proof could also be used as which of the following?
(a) A proof of Archimedes' number theory.
(b) A proof of Euclid's number theory
(c) A proof of Hippocrates' squared areas.
(d) A proof of the Pythagorean Theorem.

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

Short Answer Questions

1. In the Bernoulli's time, what was the current definition of a series?

2. What did British scholars accuse Leibniz of?

3. Who wrote a treatise that supposed that cubic equations may be impossible to solve?

4. What did Apollonius work with in mathematics?

5. Who was del Ferro's student?

(see the answer key)

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