counters 6, 73–4, 82, 97

African archaeology provides earliest evidence for 31, 61

Athenian voting/democracy and 2, 101–11, 103

Brahmi number symbols and 146

counting boards and see counting boards

Europe, origins of in 99–100, 101–11, 103

Mesopotamian 73–4

Pirahã and 281

Pomo and 269

visitor 4

Yup’ik 258–9

counting

Africa and see Africa

after 224, 279–85

Americas see Americas

before writing 31–62

branches in story of 5–6, 67–285

counter cultures see counter cultures

defined 1–2, 3–4, 286–7

East Asia and see East Asia

Europe and see Europe

Fertile Crescent and see Fertile Crescent

future of 289

innate senses of see innate senses

machines that count see machines, counting

number sense before 11–30

number symbols and see number symbols

origins 3, 6, 11–62

Pacific and see Pacific

Court of Green Cloth 126

cubes/cube roots 143, 150, 152, 193, 199

cuneiform 135, 150, 183

dead script 98

emergence of 80–3, 86

spread of 84–5

cuttlefish 13, 14

Dal Yong Jin 222

data-gathering 134

Dauben, Joseph 196–7

decimal system

Akkadian 86

Arabic 148, 181

Austronesian languages and 226

counting boards 119, 127–8

decimal place-value system 141–3, 149, 154, 159–60, 161, 164, 174, 184, 193

East Asia 186, 191, 193

Egyptian 95

Greek 104

Hollerith tabulator and 212

Roman 114