In Measure, Number, and Weight: Studies in Mathematics and Culture (SUNY Series in (SUNY series in Science, Technology, and Society)

"Jens Hoyrup, recognized as the leading authority in social studies of pre-modern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context." "Hoyrup moves from comparing features of Sumero-Babylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge."--Jacket Hoyrup_1994_Measure001 2 Hoyrup_1994_Measure002 3 Hoyrup_1994_Measure003 4 Hoyrup_1994_Measure004 5 Hoyrup_1994_Measure005 6 Hoyrup_1994_Measure006 7 Hoyrup_1994_Measure007 8 Hoyrup_1994_Measure008 9 Hoyrup_1994_Measure009 10 Hoyrup_1994_Measure010 11 Hoyrup_1994_Measure011 12 Hoyrup_1994_Measure012 13 Hoyrup_1994_Measure013 14 Hoyrup_1994_Measure014 15 Hoyrup_1994_Measure015 16 Hoyrup_1994_Measure016 17 Hoyrup_1994_Measure017 18 Hoyrup_1994_Measure018 19 Hoyrup_1994_Measure019 20 Hoyrup_1994_Measure020 21 Hoyrup_1994_Measure021 22 Hoyrup_1994_Measure022 23 Hoyrup_1994_Measure023 24 Hoyrup_1994_Measure024 25 Hoyrup_1994_Measure025 26 Hoyrup_1994_Measure026 27 Hoyrup_1994_Measure027 28 Hoyrup_1994_Measure028 29 Hoyrup_1994_Measure029 30 Hoyrup_1994_Measure030 31 Hoyrup_1994_Measure031 32 Hoyrup_1994_Measure032 33 Hoyrup_1994_Measure033 34 Hoyrup_1994_Measure034 35 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Hoyrup_1994_Measure185 186 Hoyrup_1994_Measure186 187 Hoyrup_1994_Measure187 188 Hoyrup_1994_Measure188 189 Hoyrup_1994_Measure189 190 Hoyrup_1994_Measure190 191 Hoyrup_1994_Measure191 192 Hoyrup_1994_Measure192 193 Hoyrup_1994_Measure193 194 Hoyrup_1994_Measure194 195 Hoyrup_1994_Measure195 196 Hoyrup_1994_Measure196 197 Hoyrup_1994_Measure197 198 Hoyrup_1994_Measure198 199 Hoyrup_1994_Measure199 200 Hoyrup_1994_Measure200 201 Hoyrup_1994_Measure201 202 Hoyrup_1994_Measure202 203 Hoyrup_1994_Measure203 204 Hoyrup_1994_Measure204 205 Hoyrup_1994_Measure205 206 Hoyrup_1994_Measure206 207 Hoyrup_1994_Measure207 208 Hoyrup_1994_Measure208 209 Hoyrup_1994_Measure209 210 Hoyrup_1994_Measure210 211 Hoyrup_1994_Measure211 212 Hoyrup_1994_Measure212 213 Hoyrup_1994_Measure213 214 Hoyrup_1994_Measure214 215 Hoyrup_1994_Measure215 216 Hoyrup_1994_Measure216 217 Hoyrup_1994_Measure217 218 Hoyrup_1994_Measure218 219 Hoyrup_1994_Measure219 220 Hoyrup_1994_Measure220 221 Hoyrup_1994_Measure221 222 Hoyrup_1994_Measure222 223 Hoyrup_1994_Measure223 224 Hoyrup_1994_Measure224 225 Hoyrup_1994_Measure225 -1 In this collection of essays, the content of mathematics is dealt with in general terms, concentrating on cognitive organization, modes of thought, and the way that mathematics interacts with the sociocultural setting. Chapter 1 compares features of Sumero-Babylonian, ancient Greek, and Latin medieval mathematics. Chapter 2 traces the specific character and history of pre-Modern practitioners' mathematics. Chapter 3 investigates the interplay between state formation processes, scribal culture, and mathematics in ancient Mesopotamia. Chapter 4 explores the specific character of Islamic mathematics and the sociocultural roots of its accomplishments. Chapter 5 asks to what extent formal philosophies and quasi-philosophical attitudes influence the aims and ideals pursued by mathematicians from the early 12th- through the late 16th century. Chapter 6 studies the 13th-century mathematical author Jordanus de Memore through his works, tracing how he oriented himself with regard to the contradictory currents and attitudes that surrounded him. Chapter 7 scrutinizes the common persuasion that Platonism was a decisive motive force in the development of Renaissance mathematics, suggesting the alternative thesis that the dominant ideology of humanist mathematics can be characterized as Archimedism. Chapter 8 focuses on the character and setting of Modern and contemporary mathematics through the perspective defined by the impact of militarization and warfare on mathematics. Implications for teaching are considered. Contains 807 references and name and subject indexes. (MKR)