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(Article I.14.) A Diluted Al-Karajī In Abbacus Mathematics

In: Selected Essays on Pre- and Early Modern Mathematical Practice

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  • Jens Høyrup

    (Roskilde University, Section for Philosophy and Science Studies)

Abstract

In several preceding Maghreb colloques I have argued, from varying perspectives, that the algebra of the Italian abbacus school was inspired neither from Latin algebraic writings (the translations of al-Khwārizmī and the Liber abbaci) nor directly from authors like al-Khwārizmī, Abū Kāmil and al-Karajī; instead, its root in the Arabic world is a level of algebra (probably coupled to mu‘āmalāt mathematics) which until now has not been scrutinized systematically. Going beyond this negative characterization I shall argue on the present occasion that abbacus algebra received indirect inspiration from al-Karajī. As it will turn out, however, this inspiration is consistently strongly diluted, and certainly indirect.

Suggested Citation

  • Jens Høyrup, 2019. "(Article I.14.) A Diluted Al-Karajī In Abbacus Mathematics," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 397-407, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-19258-7_15
    DOI: 10.1007/978-3-030-19258-7_15
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