TY - GEN AU - Cheng, Eugenia TI - Beyond infinity : an expedition to the outer limits of mathematics SN - 9781541644137 U1 - 511 PY - 2017/// CY - New York PB - Basic Books KW - N1 - Contents Prologue ix Part one The Journey 1 What Is Infinity? 3 2 Playing with Infinity 12 3 What Infinity Is Not 28 4 Infinity Slips Away from Us Again 39 5 Counting Up to Infinity 55 6 Some Things Are More Infinite than Others 78 7 Counting Beyond Infinity 94 8 Comparing Infinities 108 9 What Infinity Is 124 Part two The Sights 10 Where Is Infinity?141 11Things That Are Nearly Infinity 147 12 Infinite Dimensions 159 13 Infinite-Dimensional Categories 179 14 The Infinitesimally Small 197 15 When Infinity Nearly Caused Mathematics to Fall Apart (and Maybe Also Your Brain) 211 16 Weirdness 246 17 Where Infinity Is 271 Acknowledgments 279 Index 281 ER -