Index 315
linear, 166
reification, 117, 141, 219
relation
anti-symmetric, 77
betweenness, 59
binary, 59
ternary, 59
transitive, 77
representation
multiple, 67
reproduction, xv, 31, 52
ring
graded, 84
of invariants, 193
of Laurent polynomials, 84
of polynomial invariants, 192
rippling, 45
robotics, 209
Rockafellar, R. T., 77
root
cubic, 10
multiple, 131
of cubic equation, 11
pronic, 12
root system, 39
Rota, Gian-Carlo, 131
rotation, 42, 79
Royle, Gordon, xix, 21
Rubik’s Cube, 208
rules of the game, 31
Russell, Bertrand, 113
Rutherford, Ernest, 81
saccadic movements, 27
Sarnecka, Barbara W., xix, 47, 60
Schanuel Conjecture, 272
Schroder, ¨ E. M., 243
Schupp, Paul, 264
Selfe, Lorna, 35, 96
Seroussi, G., 259
set
Borel, 274, 275
convex, 75
empty, 122
Lebesque measurable, 158
open, 274
Sfard, Anna, 117–119, 142–144,
252
Shapiro, Stewart, 143
Shelah, Saharon, 9
Simon, Imre, 12
Singer, Isadore, 68
Skopenkov, M. B., 243
Sloane, N. J. A., 149
Smart, Nigel P., 259
Smith, Frank, 70, 95
snook, 260
finitely presented, 263
Snyder, Allan, 35, 44
sonar, 172
space
Borel, 274, 275
Euclidean, 75
non-Euclidean, 60
specialization, 61
speed, 83
Spelke, Elizabeth, 186
square grid, 55
Stanley, Richard, 54, 56, 58
Stasheff, Jim, 56, 57
Steinhardt, Paul, 42
Steinitz, Wilhelm, 156
Stevenson, Robert Louis, 279
Stewart, Ian, 219
Stillwell, John, xix, 38, 86, 195, 244
strategy, 158
optimal, 131
winning, 67, 87, 156
structure, 61
o-minimal, 131
subitizing, 6, 47, 62–66, 86, 255,
277
sublation, 122
Sudoku, xix, 15, 16, 18, 86
symbolic manipulation, 6, 31
SYMLOG, 52
symmetry, xii, 23, 69, 86, 89, 271
formal, 153
of snowflakes, 264
rotational, 78
semantic, 152
SU4-symmetry formalism, 39
Symonds, Peter, 148, 149
system
mirror, 23, 38
Taimina, Daina, 29, 79, 87
Tall, David, 131
Tammet, Daniel, 45, 46
Tarr, Michael J., 25, 41, 228
TARSKI’S WORLD, 52
Tarski, Alfred, 112
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