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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. According to the author in Chapter 6, “Infinity’s Twin,” geometry shows that mathematically the north and south poles of spheres do what?
(a) Repel one another.
(b) Turn into one another.
(c) Repeat one another.
(d) Pull away from one another.

2. The author says in Chapter 6, “Infinity’s Twin” that by employing the concept of infinity, Johannes Kepler showed that ellipses and what were the same?
(a) Derivatives.
(b) Limits.
(c) Tangents.
(d) Parabolas.

3. Lord Kelvin is well known for determining the correct value of absolute zero. Absolute zero is approximately what temperature Celsius?
(a) -59 degrees.
(b) -273.15 degrees.
(c) -125.32 degrees.
(d) -32 degrees.

4. The author states in Chapter 6, “Infinity’s Twin” that Carl Gauss realized that real and imaginary numbers could be what?
(a) Integrated into fractions.
(b) Multiplied by zero.
(c) Graphed together.
(d) Divided by one another.

5. In the middle of the 20th Century, Hendrik Casmir and what other Dutch physicist proposed the existence of a force between two polarizable atoms?
(a) James Washington.
(b) Dirk Polder.
(c) Peter Mitchell.
(d) Andrew Miller.

6. During what years did Georg Cantor live?
(a) 1811-1878.
(b) 1777-1836.
(c) 1689-1759.
(d) 1845-1918.

7. 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 chromatic telescope.
(c) A refracting telescope.
(d) An Alhazen’s telescope.

8. An electron has what kind of electric charge?
(a) Negative.
(b) Degenerative.
(c) Neutral.
(d) Positive.

9. The Rayleigh–Jeans law revealed an important error in physics theory of its time. The law predicted an energy output that diverges towards infinity as wavelength approaches what?
(a) Pi.
(b) One.
(c) The sun.
(d) Zero.

10. The author asserts in Chapter 6, “Infinity's Twin” that with the introduction of imaginary numbers, the fundamental theorem of what mathematical branch was discovered?
(a) Thermodynamics.
(b) Algebra.
(c) Quantum physics.
(d) Geometry.

11. In mathematics, the cardinality of a set is a measure of what?
(a) The inverse quality of the set.
(b) The quantity of the number of the set combined.
(c) The number of possible derivatives of the set.
(d) The number of elements of the set.

12. The antiparticle of the electron is called what?
(a) Derivative.
(b) Positron.
(c) Neutron.
(d) Proton.

13. Bishop Berkeley was a philosopher whose primary achievement was the advancement of a theory he called what?
(a) “The Golden Ratio.”
(b) “Calculus.”
(c) “String theory.”
(d) "Immaterialism."

14. Who coined the term “fermion” in particle physics?
(a) Paul Dirac.
(b) Socrates.
(c) Filippo Brunelleschi.
(d) James Wilson.

15. 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) Derivative function.
(c) Bijective function.
(d) Differential equation.

Short Answer Questions

1. In quantum mechanics, the concept of de Broglie waves reflects what?

2. Jean le Rond d'Alembert came up with what idea that solved the zero problem in calculus?

3. When did Sir Isaac Newton live?

4. The author suggests in Chapter 8, “Zero Hour at Ground Zero” that zero might spawn universes through a froth of what?

5. The Leibniz–Newton calculus controversy was an argument between Sir Isaac Newton and Gottfried Leibniz over what?

(see the answer keys)

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