imaginary numbers, 140
Imperial Engineering Academy, 108
impossibility theorem, Arrow’s, see
Arrow’s theorem
incompleteness theorem, xv, xvii,
123–24, 151, 241
indirect proofs, 101–2, 104
infinite loops, 125
infinite sets, 16–18, 247
Cantor’s work, 18–21
infinity
the other side of, 138–40
in this universe, 138
insincere voting, 223–27, 235
conditions for effective, 225
Gibbard-Satterthwaite theorem,
226–27
instant-runoff voting (Survivor),
210 –11, 212–13
insurance, 169–70
International Congress of Mathematics
of 1900, 116–17
Internet and mathematical research,
234–35
intractable problems, 159, 163
irrational numbers, 74
isomorphism, 99J
Jackson, Andrew, 206
Jacobi, Carl, 106
Jefferson, Thomas, 205, 228
Johnson, Samuel, 63
Jordan, Michael, 58
Joule, James Prescott, 187, 188
K
Kaczynski, Theodore, 163
Kaluza, Theodor, 146–47
Kaluza-Klein theory, 147, 149
Kampé de Fériet functions, 97
Kapitsa, Pyotr, 135, 136, 147
Karp, Richard, 166
Kazan Messenger, 110, 111
Kazan University, 110, 111
Keats, John, 247
Kelvin, Lord, 186–87
Kennedy, John F., 2
Kepler, Johannes, 76
Keynes, John Maynard, 30
Kirchhoff, Gustav, 30
Kissinger, Henry, 22
Klein, Felix, 97
Klein, Oskar, 147
knapsack problem, 164
Kronecker, Leopold, 18–19, 21, 111L
Lagrange, Joseph-Louis, 90, 208
Lagrange points, 208
Lambert, Johann, 105
Laplace, Pierre-Simon de, xiii, 56, 96
Lavoisier, Antoine-Laurent, 32, 186
Leeuwenhoek, Anton von, 46
Lee-Wick matter, 54
Lehrer, Tom, 107
Leibniz, Gottfried, 145
Lenard, Philipp, 48, 49
lever, principle of the, xiii
liar’s paradox, 116, 124
light
speed of, 30, 62, 140
wave-particle duality, 46–55, 139
lightning in a bottle, 146–47
linear equations, 82–83
linear phenomena, 180
lithotripsy machines, 70
Lobachevsky, Nikolai Ivanovich, 26,
106, 110 –11256 Index