Article ID: CBB001220533

Between Logic and Mathematics: Al-Kindi's Approach to the Aristotelian Categories (2012)

unapi

What is the function of logic in al-Kindi's corpus? What kind of relation does it have with mathematics? This article tackles these questions by examining al-Kindi's theory of categories as it was presented in his epistle On the Number of Aristotle's Books (Fi Kammiyyat kutub Aris?u), from which we can learn about his special attitude towards Aristotle theory of categories and his interpretation, as well. Al-Kindi treats the Categories as a logical book, but in a manner different from that of the classical Aristotelian tradition. He ascribes a special status to the categories Quantity (kammiyya) and Quality (kayfiyya), whereas the rest of the categories are thought to be no more than different combinations of these two categories with the category Substance. The discussion will pay special attention to the function of the categories of Quantity and Quality as mediators between logic and mathematics.

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Authors & Contributors
Rashed, Roshdi
De Young, Gregg
Vallejo Villalobos, José Ramón
Papadopoulo, Athanase
Redding, Paul
Pini, Giorgio
Journals
Arabic Sciences and Philosophy
Intellectual History of the Islamicate World
Tarikh-e Elm (The Iranian Journal for the History of Science)
Sudhoffs Archiv: Zeitschrift fuer Wissenschaftsgeschichte
Sciamvs: Sources and Commentaries in Exact Sciences
Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
Publishers
Brill
Edizioni Cadmo
Vrin
Al-Furqan Islamic Heritage Foundation
Concepts
Arab/Islamic world, civilization and culture
Mathematics
Logic
Aristotelianism
Philosophy
Categories (philosophy)
People
al-Kindī, Abū Yūsuf Yaʿqub ibn Isḥāq
al-Fārābī, Abū Naṣr Muḥammd ibn Muḥammad
Ibn al-Haytham, Abū ʿAlī al-Ḥasan
Euclid
Ibn al Sid al-Baṭalyawsī
Menelaus of Alexandria
Time Periods
9th century
Medieval
10th century
19th century
11th century
Early modern
Places
Baghdad (Iraq)
Andalusia (Spain)
Mediterranean region
Byzantium
Europe
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