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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,” “i” appears whenever one takes the square root of what?
(a) Zero.
(b) A fraction.
(c) A negative number.
(d) Infinity.

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

3. When was Philosophiæ Naturalis Principia Mathematica first published?
(a) 1687.
(b) 1632.
(c) 1568.
(d) 1666.

4. The author suggests in Chapter 8, “Zero Hour at Ground Zero” that zero might spawn universes through a froth of what?
(a) Quantum foam.
(b) Quantum disparity.
(c) Quantum gravity.
(d) Quantum memory.

5. What is the study of geometric properties that are invariant under projective transformations?
(a) Projective geometry.
(b) Projective algebra.
(c) Classical relativity.
(d) General relativity.

6. The mass of an electron is represented by what fraction in comparison with the mass of a proton?
(a) 2/4569.
(b) 1/1836.
(c) 1/360.
(d) 1/594.

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

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

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

10. In particle physics, what refers to a proposed symmetry of nature relating two basic classes of elementary particles: bosons and fermions?
(a) Supersymmetry.
(b) A black hole.
(c) A limit.
(d) Verisimilitude.

11. The name “electron” was introduced in 1891 by what Irish physicist?
(a) Sir Isaac Newton.
(b) Galileo Galilei.
(c) George Johnstone Stoney.
(d) Albert Einstein.

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

13. According to the author in Chapter 8, “Zero Hour at Ground Zero,” the universe may collapse under its own gravity or what?
(a) Remain stagnant.
(b) Expand forever.
(c) Devour its own gravity.
(d) Become eternal.

14. According to the author in Chapter 7, “Absolute Zeros,” thermodynamics led physicists to believe that light was not a particle but what?
(a) A proton.
(b) A vibrating string.
(c) An electromagnetic wave.
(d) An electron.

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) Bijective function.
(b) Differential equation.
(c) Derivative function.
(d) Injective function.

Short Answer Questions

1. What principle holds that there is an inverse relation between the fineness with which a particular's location can be determined and the fineness with which its velocity can be determined?

2. What term in geometry refers to a straight line that just touches a plane curve at a given point?

3. Where was Lord Kelvin born?

4. Bishop Berkeley was a philosopher whose primary achievement was the advancement of a theory he called what?

5. 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?

(see the answer keys)

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