Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz B

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

Multiple Choice Questions

1. Which was true of Euclid's number theory?
(a) It has been proven too basic to be useful.
(b) It was proven to the true by Hippocrates.
(c) It was incorrect, as proved by Plato.
(d) It has an impact on modern math.

2. How do we know about Hippocrates proofs and theorems?
(a) What we know is from references of later mathematicians.
(b) Mathematicians rewrote all of his proofs after his death,
(c) What is known from archived documents of his time.
(d) His books and publications.

3. How many definitions were stated in Elements?
(a) Eighteen.
(b) Five.
(c) Thirty.
(d) Twenty-three.

4. Which of the following was one of Euclid's great theorems?
(a) There exists only infinite and whole numbers.
(b) There exists an infinite number of prime numbers.
(c) There exists an finite number of prime numbers.
(d) Prime numbers are more comples than discrete numbers.

5. Which of the following was NOT one of Gauss' discoveries?
(a) That under Euclid's definition parallel lines can intersect.
(b) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
(c) That angles in a triangles can not add up to more than 180 degrees.
(d) "Non-euclidean" geometry.

Short Answer Questions

1. What was Euclid's definition of a prime number?

2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?

3. Which words best describe how solid proofs were developed in Elements?

4. Who was the author of the book Elements?

5. What did the Pythagorean Theorem accomplish for mathematics?

(see the answer key)

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