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This quiz consists of 5 multiple choice and 5 short answer questions through Chapter 5.

Multiple Choice Questions

1. When was Jean le Rond d'Alembert born?
(a) 1701.
(b) 1659.
(c) 1811.
(d) 1717.

2. René Descartes was a French philosopher and mathematician who spent most of his adult life where?
(a) South America.
(b) Northern Africa.
(c) Great Britain.
(d) The Dutch Republic.

3. The Leibniz–Newton calculus controversy was an argument between Sir Isaac Newton and Gottfried Leibniz over what?
(a) Who had first invented algebra.
(b) Who had first invented quantum mechanics.
(c) Who had first invented geometry.
(d) Who had first invented calculus.

4. When did the Protestant Reformation begin?
(a) 1517.
(b) 1445.
(c) 1725.
(d) 1623.

5. Pythagoreanism developed into two separate schools of thought. What group was called “the learners” in Greek?
(a) The Hippasusikoi.
(b) The akousmatikoi.
(c) The mathēmatikoi.
(d) The omnimatioi.

Short Answer Questions

1. Filippo Brunelleschi was born in approximately what year?

2. Where does the author say early medieval Jews took up residence and discovered that Aristotle’s aversion to zero contradicted Jewish theology in Chapter 3, “Nothing Ventured”?

3. What refers to the mean obtained by taking the reciprocal of the arithmetic mean of the reciprocals of a set of nonzero numbers?

4. What was the fifth element that Aristotle proposed, in addition to earth, water, fire, and air?

5. Johannes Kepler used calculus to determine that planets had what, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?

(see the answer key)

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