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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 was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in determining the distance between two points.
(b) It was useful in finding the area of circles.
(c) It was useful in creating simple elevation maps,
(d) It was useful in finding the area of oddly shaped pieces of land.

2. In what time period did mathematicians find a solution to cubic equations?
(a) Seventeeth century.
(b) Fifteen century.
(c) Twentieth century.
(d) Thirteenth century.

3. Which of the following was NOT a field in which Isaac Newton made enormous advances?
(a) Physics.
(b) Biology.
(c) Mathematics.
(d) Optics.

4. What did Newton's calculus involve?
(a) Proving the cubic equation.
(b) Determining the area under a curve.
(c) Proving the existance of pi.
(d) Determining the volume of a sphere.

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

Short Answer Questions

1. What were the proofs in Elements based on?

2. Which of the following was a major part of Gauss' work in mathematics?

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

4. What is true about real numbers between 0 and 1?

5. What else, besides a solution to cubic equations, was in Cardano's book?

(see the answer key)

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