### Abstract

of Modern science was produced neither by the university tradition, nor by the

Humanist current of Renaissance culture, nor by craftsmen or other practitioners,

but through an interaction between all three groups in which all were

indispensable for the outcome. He only included mathematics via its relation

to the “quantitative spirit”. The present study tries to apply Zilsel’s perspective

to the emergence of the Modern algebra of Viète and Descartes (etc.), by tracing

the reception of algebra within the Latin-Universitarian tradition, the Italian

abbacus tradition, and Humanism, and the exchanges between them, from the

twelfth through the late sixteenth and early seventeenth century.

Original language | English |
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Number of pages | 32 |

Publication status | Published - 17 Sep 2011 |

### Cite this

*The fifteenth-seventeenth century transformation of abbacus algebra: Perhaps – though not thought of by Edgar Zilsel and Joseph Needham – the best illustration of the `Zilsel-Needham thesis': Summer School on the History of Algebra, Institute for the History of the Natural Sciences, Chinese Academy of Science, 1–2 September 2011. Preprint*.

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**The fifteenth-seventeenth century transformation of abbacus algebra: Perhaps – though not thought of by Edgar Zilsel and Joseph Needham – the best illustration of the `Zilsel-Needham thesis' : Summer School on the History of Algebra, Institute for the History of the Natural Sciences, Chinese Academy of Science, 1–2 September 2011. Preprint.** / Høyrup, Jens.

Research output: Working paper › Research

TY - UNPB

T1 - The fifteenth-seventeenth century transformation of abbacus algebra: Perhaps – though not thought of by Edgar Zilsel and Joseph Needham – the best illustration of the `Zilsel-Needham thesis'

T2 - Summer School on the History of Algebra, Institute for the History of the Natural Sciences, Chinese Academy of Science, 1–2 September 2011. Preprint

AU - Høyrup, Jens

PY - 2011/9/17

Y1 - 2011/9/17

N2 - In 1942, Edgar Zilsel proposed that the sixteenth–seventeenth-century emergence of Modern science was produced neither by the university tradition, nor by the Humanist current of Renaissance culture, nor by craftsmen or other practitioners, but through an interaction between all three groups in which all were indispensable for the outcome. He only included mathematics via its relation to the “quantitative spirit”. The present study tries to apply Zilsel’s perspective to the emergence of the Modern algebra of Viète and Descartes (etc.), by tracing the reception of algebra within the Latin-Universitarian tradition, the Italian abbacus tradition, and Humanism, and the exchanges between them, from the twelfth through the late sixteenth and early seventeenth century.

AB - In 1942, Edgar Zilsel proposed that the sixteenth–seventeenth-century emergence of Modern science was produced neither by the university tradition, nor by the Humanist current of Renaissance culture, nor by craftsmen or other practitioners, but through an interaction between all three groups in which all were indispensable for the outcome. He only included mathematics via its relation to the “quantitative spirit”. The present study tries to apply Zilsel’s perspective to the emergence of the Modern algebra of Viète and Descartes (etc.), by tracing the reception of algebra within the Latin-Universitarian tradition, the Italian abbacus tradition, and Humanism, and the exchanges between them, from the twelfth through the late sixteenth and early seventeenth century.

M3 - Working paper

BT - The fifteenth-seventeenth century transformation of abbacus algebra: Perhaps – though not thought of by Edgar Zilsel and Joseph Needham – the best illustration of the `Zilsel-Needham thesis'

ER -