 |
 Packard, Norman H. (USA, 1954- )
and CA classes, 948
as coauthor of paper, 882
in Preface, xiii
 Painlevé, Paul (France, 1863-1933)
and Painlevé functions, 1092
 Paley, Raymond E. A. C. (England/USA, 1907-1933)
and Walsh transforms, 1073
 Paley, William (England, 1743-1805)
and natural theology, 861
 Panini (India, ~500 BC)
and grammars, 875
 Paris, Jeffrey B. (England, 1944- )
and unprovable statements, 1163
 Pascal, Blaise (France, 1623-1662)
and arbitrary number bases, 902
and his calculator, 1107
and Pascal's triangle, 870
 Paterson, Michael S. (England, 1942- )
and 2D Turing machines, 880, 930
 Peacock, George (England, 1791-1858)
and generalization in math, 1168
 Peano, Giuseppe (Italy, 1858-1932)
and axioms for arithmetic, 1152
and foundations of math, 1149
and math notation, 1182
and space-filling curves, 893
 Peirce, Charles S. (USA, 1839-1914)
and axioms for logic, 1151
and Nand, 1173
and theories of communication, 1181
 Penrose, Lionel S. (England, 1898-1972)
and mechanical self-reproduction, 1179
 Penrose, Roger (England, 1931- )
and discreteness of space, 1027
and Penrose tiles, 932, 943
and polyomino tilings, 943
in Preface, xiii
and spin networks, 1055
 Phelan, Robert J. (USA, 1933- )
and minimum area packings, 988
 Piaget, Jean (Switzerland, 1896-1980)
and animism in children, 1195
 Pingala (India, ~200 BC)
and Fibonacci numbers, 890
 Pippenger, Nicholas J. (USA/Canada, 1947- )
and NC computations, 1149
 Pitts, Walter H. (USA, 1923-1969)
and neural networks, 880, 1099
and universality, 1110
 Planck, Max K. E. L. (Germany, 1858-1947)
and quantum theory, 1056
 Plato (Greece, 427-347 BC)
and microcosm, 1196
and mimesis, 1178
and the nature of space, 1028
and primes, 909, 910
and purpose in nature, 1185
 Plouffe, Simon (Canada, 1956- )
and computation of pi, 912
in Preface, xiii
 Podolsky, Boris (USA, 1896-1966)
and EPR experiment, 1058
 Poincaré, J. Henri (France, 1854-1912)
and 3-body problem, 972
and cell complexes, 1050
and chaos theory, 971
and iterated maps, 918
and notion of complexity, 1068
and Poincaré recurrence, 1022
 Politzer, H. David (USA, 1949- )
and particle masses, 1047
in Preface, xiv
 Pollard, John M. (England, 1941- )
and integer factoring, 1090
 Pólya, George (Hungary/Switzerland/USA, 1887-1985)
and zeta function zeros, 918
 Pomeau, Yves (France, 1942- )
and cellular automaton fluids, 999
in Preface, xiii
 Ponzano, Giorgio E. (Italy, 1939- )
and spin networks, 1055
 Popper, Karl R. (Austria/New Zealand/England, 1902-1994)
and free will, 1135
 Post, Emil L. (USA, 1897-1954)
and axiom systems in logic, 1170
and models of computation, 879
and models of math, 1150
and multivalued logic, 1175
and multiway systems, 938
and origins of universality, 1110
and Post Correspondence Problem, 1139
and tag systems, 879, 894
and truth tables, 1170
and undecidability, 1136
and undecidability of word problem, 1141
and underivability of logic axioms, 1170
and universality, 1125
 Presburger, Mojzesz (Poland, 1904 - ~1943)
and axioms for arithmetic, 1152
 Prigogine, Ilya (Belgium/USA, 1917-[2003])
in Preface, xiii
and reaction-diffusion, 1013
 Prouhet, Eugène (France, 1817-1867)
and Thue-Morse sequence, 893
 Prusinkiewicz, Przemyslaw (Poland/Canada, 1952- )
and branching in plants, 1005
 Ptolemy (Egypt, ~100 - ~170 AD)
and math in science, 859
and models based on rules, 860
 Putnam, Hilary W. (USA, 1926- )
and Diophantine equations, 1161
 Pythagoras (Italy, ~560 - ~480 BC)
and math in science, 859, 860
and perfect numbers, 911
and rules in music, 875
 Radó, Tibor (Hungary/USA, 1895-1965)
and Busy Beaver Problem, 889
 Ramanujan, Srinivasa A. (India/England, 1887-1920)
and almost integers, 915
and divisor sequences, 910, 911
and experimental math, 899
 Rankine, William J. M. (Scotland, 1820-1872)
and vortices in ether, 1044
 Raup, David M. (USA, 1933- )
and shapes of shells, 1008
 Ray, John (England, 1627-1705)
and natural theology, 861
 Regge, Tullio E. (Italy, 1931- )
and discrete spacetime, 1054
and spin networks, 1055
 Reif, Frederick (USA, 1927- )
and inspirational book cover, 864
 Rényi, Alfréd (Hungary, 1921-1970)
and generalized entropies, 959
 Reynolds, Osborne (Ireland/England, 1842-1912)
and Reynolds numbers, 996
 Rice, Henry G. (USA, 1920- )
and Rice's theorem, 1137
 Richardson, Lewis F. (England/Scotland, 1881-1953)
and fluid turbulence, 997
 Ricker, William E. (Canada, 1908-2001)
and iterated map for fish populations, 918
 Riemann, G. F. Bernhard (Germany, 1826-1866)
and discrete space, 1027
and distribution of primes, 918
and nested curves, 934
and Riemann tensor, 1049
 Riesz, Frigyes (Hungary, 1880-1956)
and Riesz products, 1081
 Robbins, Herbert E. (USA, 1915-2001)
and axioms for logic, 1151
 Robinson, Abraham (England/Israel/USA, 1918-1974)
and non-standard analysis, 1172
 Robinson, J. Alan (USA, 1930- )
and resolution theorem proving, 1157
 Robinson, Julia B. (USA, 1919-1985)
and axioms for arithmetic, 1152
and Diophantine equations, 1161
and encodings of arithmetic, 1163
in Preface, xiii
and undecidability of field theory, 1160
 Robinson, Raphael M. (USA, 1911-1995)
and axioms for arithmetic, 1152
and non-periodic tilings, 943
in Preface, xiii
 Rogozhin, Yurii (Moldova, 1949- )
and Turing machines, 1119
 Rosen, Nathan (USA/Israel, 1909-1995)
and EPR experiment, 1058
 Rosenblatt, Frank (USA, 1928-1971)
and perceptrons, 1099
 Rosenblueth, Arturo (Mexico, 1900-1970)
and reaction-diffusion, 1013
 Roth, Klaus F. (England, 1925- )
and rational approximations, 915
 Rucker, Rudy v. B. (USA, 1946- )
and 2D Turing machines, 930
in Preface, xiii
 Russell, Bertrand A. W. (England, 1872-1970)
and axioms for logic, 1151
and character of math, 1176
and foundations of math, 1149
and paradoxes in set theory, 1154
and Principia Mathematica, 894
and theory of types, 898
 Russell, John Scott (Scotland, 1808-1882)
and solitons, 899
 Rutherford, Ernest (New Zealand/Canada, 1871-1937)
and atomic nuclei, 1044
 Rytin, Maxim (Russia, 1975- )
and concatenation sequences, 913
 Sagan, Carl E. (USA, 1934-1996)
and Pioneer 10 plaque, 1189
 Salem, James (USA, 1962- )
as coauthor of paper, 882
in Preface, xiii
 Sander, Leonard M. (USA, 1941- )
and diffusion-limited aggregation, 994
in Preface, xiii
 Saussure, Ferdinand de (Switzerland, 1857-1913)
and concept of language, 1181
 Schickard, Wilhelm (Germany, 1592-1635)
and origin of computers, 1107
 Scholes, Myron S. (USA, 1941- )
and options pricing, 1015
 Schönfinkel, Moses I. (Germany/Russia, 1889 - ~1942)
and combinators, 879, 1121
and origins of universality, 1110
and symbolic systems, 898
 Schoute, Johannes C. (Netherlands, 1877-1942)
and phyllotaxis, 1007
 Schröder, F. W. K. Ernst (Germany, 1841-1902)
and axioms of logic, 1151
 Schrödinger, Erwin R. J. A. (Austria/Switzerland/Germany/Ireland, 1887-1961)
and quantum mechanics, 1056
 Schwarzschild, Karl (Germany, 1873-1916)
and Einstein equations, 1053
 Séguier, Jean-Armand de (France, 1862-1937)
and semigroups, 1153
 Sejnowski, Terrence J. (USA, 1947- )
and neural networks, 1100
in Preface, xiii
 Sekerka, Robert F. (USA, 1937- )
and dendritic growth, 993
 Shallit, Jeffrey O. (USA/Canada, 1957- )
and continued fractions, 914
 Shannon, Claude E. (USA, 1916-2001)
and analog computers, 1129
and Boolean algebra, 1097
and coding theory, 1069
and cryptography, 1086
and information theory, 1071, 1181
and statistical mechanics, 1020
and Turing machines, 1119
 Shaw, Robert S. (USA, 1946- )
and chaos theory, 971
in Preface, xiii
 Sheffer, Henry M. (USA, 1883-1964)
and axioms for logic, 1151, 1175
and Nand, 1173
 Shepherdson, John C. (England, 1926- )
and register machines, 896
 Shor, Peter W. (USA, 1959- )
in Preface, xiii
and quantum computing, 1148
 Shub, Michael I. (USA, 1943- )
and quadratic pseudorandom generators, 1090
 Sierpinski, Waclaw (Poland, 1882-1969)
and nested curves, 934
 Silverman, Brian (Canada, 1957- )
in Preface, xiii
and WireWorld CA, 1117
 Simon, Herbert A. (USA, 1916-2001)
and automated proofs, 1157
 Sinai, Yakov G. (Russia/USA 1935- )
and ergodicity of billiards, 1022
 Sitnikov, Kirill A. (Russia, 1926- )
and 3-body problem, 973
 Skolem, A. Thoralf (Norway, 1887-1963)
and non-standard arithmetic, 1169
and set theory, 1154
 Smale, Stephen (USA, 1930- )
and chaos theory, 971
in Preface, xiii
 Smith, Alvy Ray, III (USA, 1943- )
and branching in plants, 1005
and L systems, 893
in Preface, xiii
and universal CAs, 1115
 Smith, Cyril S. (USA, 1903-1992)
and cellular structures, 1039
 Smullyan, Raymond M. (USA, 1919- )
and combinators, 898
 Socrates (Greece, ~470-399 BC)
and purpose in nature, 1185
 Solomonoff, Ray J. (USA, 1926- )
and algorithmic randomness, 1068
 Spearman, Charles E. (England, 1863-1945)
and defining intelligence, 1178
 Spencer Brown, George (England/USA, 1923- )
and axioms for logic, 1175
and Laws of Form, 1173
 Staffelbach, Othmar J. (Switzerland, 1952- )
and cryptanalysis of rule 30, 1087
 Stein, Paul R. (USA, 1924-1990)
and iterated maps, 918
 Stevens, Peter S. (USA, 1936- )
and patterns in nature, 967
 Stokes, George G. (England, 1819-1903)
and fluid flow past a sphere, 998
 Stoneham, Richard G. (USA, 1920-1996)
and normal numbers, 912
 Sturgis, Howard E. (USA, 1936-1990)
and register machines, 896
 Sundman, Karl F. (Finland, 1873-1949)
and three-body problem, 972
 Swindale, Nicholas V. (England/Canada, 1951- )
and pigmentation patterns, 1012
 Szmielew, Wanda M. (Poland/USA, 1918-1976)
and commutative groups, 1160
 Szudzik, Matthew P. (USA, 1973- )
and axioms for logic, 1151
in Preface, xii
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