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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. What term refers to an elementary particle, the quantum of light and all other forms of electromagnetic radiation?
(a) Photon.
(b) Nucleus.
(c) Electron.
(d) Radon.

2. Bernhard Riemann was able to show how to generate the geometry for what, according to the author in Chapter 6, “Infinity’s Twin”?
(a) Differential equations.
(b) Sound waves.
(c) Light waves.
(d) Non-Euclidean spaces.

3. What refers to an optical telescope that uses a single or combination of curved mirrors that reflect light and form an image?
(a) A reflecting telescope.
(b) A refracting telescope.
(c) An Alhazen’s telescope.
(d) A chromatic telescope.

4. What mathematical term refers to a function that preserves distinctness by never mapping distinct elements of its domain to the same element of its codomain?
(a) Injective function.
(b) Differential equation.
(c) Derivative function.
(d) Bijective function.

5. According to the author in Chapter 7, “Absolute Zeros,” Max Planck came up with a new equation that solved the ultraviolet catastrophe but implied that energy was released in discrete packets that have come to be called what?
(a) Strings.
(b) Photons.
(c) Derivatives.
(d) Quanta.

Short Answer Questions

1. What term refers to the viewpoint that regards reason as the chief source and test of knowledge?

2. When was Lord Kelvin born?

3. What refers to the geometric theory of gravitation published by Albert Einstein in 1916 and the current description of gravitation in modern physics?

4. What term refers to numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite?

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

Short Essay Questions

1. How are electrons described in Chapter 8, “Zero Hour at Ground Zero”?

2. How old is the universe estimated to be by astronomers today? How did they calculate this age?

3. How is string theory described by the author in Chapter 8, “Zero Hour at Ground Zero”?

4. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?

5. How were Georg Cantor’s mathematical principles applied to his theology? Who disagreed with his vision and why?

6. How did the field of quantum mechanics address the problem of zero in thermodynamics?

7. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?

8. What discovery did Georg Cantor make regarding different types of infinities? How are these types defined?

9. What discovery did Friedrich Riemann make in the field of projective geometry?

10. Who discovered “absolute zero”? How is absolute zero defined in Chapter 7, “Absolute Zeros”?

(see the answer keys)

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