How Math Explains the World.pdf
and if we can find a polynomial-time algorithm approximating the exact solution within a few percent, we can save substantially ...
shot. After all, it doesn’t seem so unlikely that Cook’s techniques for dem- onstrating the equivalence of NP-hard problems coul ...
amusing a story he wrote in which he described the logical consequences surrounding the discovery of thiotimoline, a substance t ...
successful, primarily in areas offering easy quantification of the relevant parameters. However, just because it is easy to quan ...
that something cannot arise from nothing, and therefore something must have been here first, that something being God. It sounds ...
However, just as political success awaits the candidate who can appeal to the majority, fame and fortune undoubtedly await the i ...
Birkhoff believed that the intuitive appreciation stemmed from an uncon- scious application of the mathematical aspects of his f ...
prove what poets, philosophers, and psychologists have only been able to conjecture. NOTES 1. S e e h t t p : / / w w w - h i s ...
Index A Abel, Niels Henrik, 93–94 Abel-Ruffini theorem, 73 abstract algebra, 95 Adams, John Quincy, 206 Adleman, Leonard, 1 ...
Anderson, Carl, 135–36 Annals of Mathematics, 32 antielectron, see positron Antoinette, Marie, 81 Apple II computer, 126 a ...
C Blind Watchmaker, The (Dawkins), 199 Bohr, Niels, 30, 42, 45, 61, 219 “solar system” model of the atom, 55 Bollobas, Bela, ...
computer viruses, 126 programs to detect, 126–27 Comte, Auguste, 29–30 conclusions, leaping to unsupported, 76 Condorcet, Mar ...
eka-silicon (germanium), 135 elasticity of a substance, 47 elections Arrow’s theorem, see Arrow’s theorem as foundation of d ...
Fourier, Joseph, 94 FOXRAB, 181 fractions, 83 Fraenkel, Adolf, 24 French Revolution, 208 Frost, Robert, 126 Fukuyama, Fran ...
group(s) (cont'd) isomorphism, 99 properties used to define, 90–91 set of all shuff les of a deck of cards as a, 91–93 subg ...
imaginary numbers, 140 Imperial Engineering Academy, 108 impossibility theorem, Arrow’s, see Arrow’s theorem incompleteness ...
logarithmic functions, 97 logarithms, approximated by a polynomial, 82 “Logic and the Understanding of Nature,” 123 logic ...
Nazi Germany, 45–46, 49, 124 nearest neighbor algorithm, 160 –62, 241 negative numbers, 83 Neptune, discovery of, 31 netw ...
phlogiston theory, 32 photoelectric effect, 45, 48–49 photon density, 145–46 photon detectors, 50 –51 photons, 49, 142 phys ...
predictions author’s, 241– 42 of limitations of knowledge and achievement in the physical world, 30–31 preference intensi ...
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