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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 of the following is true in modern math about twin primes?
(a) They are infinite.
(b) We don't know if they are finite or infinite.
(c) Their sum is always another prime number.
(d) They are not considered whole numbers.

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

3. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Hippocrates.
(b) Thales.
(c) Aristotle.
(d) Pythagoras.

4. What did Dunham consider extraordinary about the Elements?
(a) The content was totally unique.
(b) How Hippocrates ordered the book.
(c) The content was not based on previous authors' work.
(d) How geometric proofs were presented.

5. How many sides did the pentadecagon have, as presented by Euclid?
(a) Fifteen.
(b) Twenty.
(c) Ten.
(d) Five.

Short Answer Questions

1. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

2. What did Plato use his inspiration from Euclid for?

3. What was the bases of Hippocrates's proof ?

4. Which of the following was an important proposition given by Euclid's number theory?

5. How did Lindeman prove his conclusion?

(see the answer key)

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