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Jens Hoyrup

Biographic Data

ID416612
NAMEJens Hoyrup
GIVEN NAMESJens
FAMILY NAMEHoyrup
SIGNATUREHOYRUP J
AFFILIATIONSRoskilde University
ORCID0000-0002-8307-718X
VERIFIEDYes
TOTAL WORKS20
TOTAL CITATIONS4
AUTHOR COUNT19
EDITOR COUNT1
FIRST PUBLICATION YEAR1984
LATEST PUBLICATION YEAR2022
H-INDEX1
  • Where and how did Archimedes get in? Oblique and labyrinthine reflections

    Jens Hoyrup•ARTICLE•Interdisciplinary Science Reviews•2022•References: 1

    This answer to Reviel Netz’s article at first questions his optimism concerning our technological future. After that, it suggests a different role for Archimedes and the other prominent Greek mathematicians than the one claimed by Netz: as providers not of answers but of problems which called for the transformation of the abbacus and cossist algebra tradition, thereby allowing first Viète and then Descartes to create the first level of the new an…

  • Selected Essays on Pre- and Early Modern Mathematical Practice

    Open Access•Jens Hoyrup•BOOK•Selected Essays on Pre- and Early…•2019

  • (Article I.6.) Geometrical Patterns in the Pre-Classical Greek Area: Prospecting the Borderland between Decoration, Art, and Structural Inquiry

    Open Access•Jens Hoyrup•CHAPTER•Selected Essays on Pre- and Early…•2019

  • The Oxford Handbook of the History of Mathematics

    Open Access•Eleanor Robson, Jacqueline Stedall et al.•ARTICLE•Aestimatio Sources and Studies in…•2015•Cited by: 1

    This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it

  • Mathematics Education in the European Middle Ages

    Open Access•Jens Hoyrup•CHAPTER•Handbook on the History of…•2014

  • Geometry, Mesopotamian

    Open Access•Jens Hoyrup•CHAPTER•The Encyclopedia of Ancient History•2012

    By late pre‐literate times the ground plans of high‐prestige buildings were laid out with string.

  • Mathematics, Mesopotamian

    Open Access•Jens Hoyrup•CHAPTER•The Encyclopedia of Ancient History•2012

    Mesopotamian mathematics and writing coevolved as book‐keeping tools in protoliterate Uruk (ca. 3300 BCE ), apparently as key constituents in the legitimization of the transformation of a redistributive into a statal social system. At least until 2000 BCE , accounting and mathematically determined allocation of rations and land seem to have carried connotations of social justice. In the second and first millennia, mathematics still served account…

  • Mathematics and War

    Bernhelm Booß–Bavnbek, Bernhelm Booss et al.•BOOK•Mathematics and War•2012

  • Generosity: No Doubt, but at Times Excessive and Delusive

    Open Access•Jens Hoyrup•ARTICLE•Journal of Indian Philosophy•2007

  • Artificial Language in Ancient Mesopotamia – A Dubious and a Less Dubious Case

    Open Access•Jens Hoyrup•ARTICLE•Journal of Indian Philosophy•2006

  • On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”

    Open Access•Jens Hoyrup•ARTICLE•Science in Context•2001

    For more than a century, there has been some discussion about whether medieval Arabic al-jabr (and hence also later European algebra) has its roots in Indian or Greek mathematics. Since the 1930s, the possibility of Babylonian ultimate roots has entered the debate. This article presents a new approach to the problem, pointing to a set of quasi-algebraic riddles that appear to have circulated among Near Eastern practical geometers since c. 2000 BC…

  • Changing Trends in the Historiography of Mesopotamian Mathematics: An Insider's View

    Open Access•Jens Hoyrup•ARTICLE•History of Science•1996•Cited by: 1•References: 12

    L'A. decrit les tendances qui ont caracterise depuis 1930 le developpement de l'historiographie des mathematiques de l'epoque babylonienne

  • Prehistoire de la geometrie: Premiers elements d'enquete, premieres conclusions. Olivier Keller

    Jens Hoyrup•ARTICLE•Isis•1996

  • The Mystery of Numbers. Annemarie Schimmel

    Jens Hoyrup•ARTICLE•Isis•1994

  • "Remarkable Numbers" in Old Babylonian Mathematical Texts: A Note on the Psychology of Numbers

    Jens Hoyrup•ARTICLE•Journal of Near Eastern Studies•1993

  • Anfänge von Wissenschaft im Kontext der frühmesopotamischen ‘städtischen Revolution’

    Open Access•Jens Hoyrup•ARTICLE•Berichte zur Wissenschaftsgeschicht…•1992•References: 13

    A theme like “town and science” invites to comparative analysis, and suggests questions like these: Is the urban context a particularly fertile soil for the development of scientific thinking? Or rather the contrary? Is it fertile or barren under specific circumstances? Or does it favour a particular kind of scientific activity? General answers to such questions can hardly be found; still, they may provide case studies with a guiding perspective.…

  • Sub-Scientific Mathematics: Observations on a Pre-Modern Phenomenon

    Open Access•Jens Hoyrup•ARTICLE•History of Science•1990•Cited by: 2•References: 6

  • The Formation of “Islamic Mathematics” Sources and Conditions

    Open Access•Jens Hoyrup•ARTICLE•Science in Context•1987

    The Argument The development of autonomous theoretical science is often considered a “Greek miracle.” It is argued in the present paper that another “miracle,” necessary for the creation of modern science, took place for the first time in the Islamic Middle Ages, viz. the integration of (still autonomous) theory and (equally autonomous) practice. The discussion focuses on the mathematical disciplines. It starts by investigating the plurality of t…

  • Varieties of Mathematical Discourse in Pre-Modern Socio-Cultural Contexts: Mesopotamia, Greece, and the Latin Middle Ages

    Open Access•Jens Hoyrup•ARTICLE•Science & Society•1985

  • Peace Appeal

    Open Access•Burchard Brentjes, Jens Hoyrup•ARTICLE•Science & Society•1984

  • Sub-Scientific Mathematics: Observations on a Pre-Modern Phenomenon

    Open Access•Jens Hoyrup•ARTICLE•History of Science•1990•Cited by: 2•References: 6

  • The Oxford Handbook of the History of Mathematics

    Open Access•Eleanor Robson, Jacqueline Stedall et al.•ARTICLE•Aestimatio Sources and Studies in…•2015•Cited by: 1

    This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it

  • Changing Trends in the Historiography of Mesopotamian Mathematics: An Insider's View

    Open Access•Jens Hoyrup•ARTICLE•History of Science•1996•Cited by: 1•References: 12

    L'A. decrit les tendances qui ont caracterise depuis 1930 le developpement de l'historiographie des mathematiques de l'epoque babylonienne

  • Peace Appeal

    Open Access•Burchard Brentjes, Jens Hoyrup•ARTICLE•Science & Society•1984

  • Varieties of Mathematical Discourse in Pre-Modern Socio-Cultural Contexts: Mesopotamia, Greece, and the Latin Middle Ages

    Open Access•Jens Hoyrup•ARTICLE•Science & Society•1985

  • The Formation of “Islamic Mathematics” Sources and Conditions

    Open Access•Jens Hoyrup•ARTICLE•Science in Context•1987

    The Argument The development of autonomous theoretical science is often considered a “Greek miracle.” It is argued in the present paper that another “miracle,” necessary for the creation of modern science, took place for the first time in the Islamic Middle Ages, viz. the integration of (still autonomous) theory and (equally autonomous) practice. The discussion focuses on the mathematical disciplines. It starts by investigating the plurality of t…

  • Sub-Scientific Mathematics: Observations on a Pre-Modern Phenomenon

    Open Access•Jens Hoyrup•ARTICLE•History of Science•1990•Cited by: 2•References: 6

  • Anfänge von Wissenschaft im Kontext der frühmesopotamischen ‘städtischen Revolution’

    Open Access•Jens Hoyrup•ARTICLE•Berichte zur Wissenschaftsgeschicht…•1992•References: 13

    A theme like “town and science” invites to comparative analysis, and suggests questions like these: Is the urban context a particularly fertile soil for the development of scientific thinking? Or rather the contrary? Is it fertile or barren under specific circumstances? Or does it favour a particular kind of scientific activity? General answers to such questions can hardly be found; still, they may provide case studies with a guiding perspective.…

  • "Remarkable Numbers" in Old Babylonian Mathematical Texts: A Note on the Psychology of Numbers

    Jens Hoyrup•ARTICLE•Journal of Near Eastern Studies•1993

  • The Mystery of Numbers. Annemarie Schimmel

    Jens Hoyrup•ARTICLE•Isis•1994

  • Changing Trends in the Historiography of Mesopotamian Mathematics: An Insider's View

    Open Access•Jens Hoyrup•ARTICLE•History of Science•1996•Cited by: 1•References: 12

    L'A. decrit les tendances qui ont caracterise depuis 1930 le developpement de l'historiographie des mathematiques de l'epoque babylonienne

  • Prehistoire de la geometrie: Premiers elements d'enquete, premieres conclusions. Olivier Keller

    Jens Hoyrup•ARTICLE•Isis•1996

  • On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”

    Open Access•Jens Hoyrup•ARTICLE•Science in Context•2001

    For more than a century, there has been some discussion about whether medieval Arabic al-jabr (and hence also later European algebra) has its roots in Indian or Greek mathematics. Since the 1930s, the possibility of Babylonian ultimate roots has entered the debate. This article presents a new approach to the problem, pointing to a set of quasi-algebraic riddles that appear to have circulated among Near Eastern practical geometers since c. 2000 BC…

  • Artificial Language in Ancient Mesopotamia – A Dubious and a Less Dubious Case

    Open Access•Jens Hoyrup•ARTICLE•Journal of Indian Philosophy•2006

  • Generosity: No Doubt, but at Times Excessive and Delusive

    Open Access•Jens Hoyrup•ARTICLE•Journal of Indian Philosophy•2007

  • Geometry, Mesopotamian

    Open Access•Jens Hoyrup•CHAPTER•The Encyclopedia of Ancient History•2012

    By late pre‐literate times the ground plans of high‐prestige buildings were laid out with string.

  • Mathematics, Mesopotamian

    Open Access•Jens Hoyrup•CHAPTER•The Encyclopedia of Ancient History•2012

    Mesopotamian mathematics and writing coevolved as book‐keeping tools in protoliterate Uruk (ca. 3300 BCE ), apparently as key constituents in the legitimization of the transformation of a redistributive into a statal social system. At least until 2000 BCE , accounting and mathematically determined allocation of rations and land seem to have carried connotations of social justice. In the second and first millennia, mathematics still served account…

  • Mathematics and War

    Bernhelm Booß–Bavnbek, Bernhelm Booss et al.•BOOK•Mathematics and War•2012

  • Mathematics Education in the European Middle Ages

    Open Access•Jens Hoyrup•CHAPTER•Handbook on the History of…•2014

  • The Oxford Handbook of the History of Mathematics

    Open Access•Eleanor Robson, Jacqueline Stedall et al.•ARTICLE•Aestimatio Sources and Studies in…•2015•Cited by: 1

    This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it

  • Selected Essays on Pre- and Early Modern Mathematical Practice

    Open Access•Jens Hoyrup•BOOK•Selected Essays on Pre- and Early…•2019

  • (Article I.6.) Geometrical Patterns in the Pre-Classical Greek Area: Prospecting the Borderland between Decoration, Art, and Structural Inquiry

    Open Access•Jens Hoyrup•CHAPTER•Selected Essays on Pre- and Early…•2019

  • Where and how did Archimedes get in? Oblique and labyrinthine reflections

    Jens Hoyrup•ARTICLE•Interdisciplinary Science Reviews•2022•References: 1

    This answer to Reviel Netz’s article at first questions his optimism concerning our technological future. After that, it suggests a different role for Archimedes and the other prominent Greek mathematicians than the one claimed by Netz: as providers not of answers but of problems which called for the transformation of the abbacus and cossist algebra tradition, thereby allowing first Viète and then Descartes to create the first level of the new an…

History (11 works) · History and Theory of Mathematics (11 works) · Mathematics (11 works) · Philosophy (10 works) · Historical and Literary Studies (8 works) · Classics (6 works) · Epistemology (6 works) · Philosophy (6 works) · Ancient history (5 works) · Ancient Near East History (5 works)

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