As their greek predecessors, mathematicians and arab-speaking philosophers raised several important epistemological questions. One of those questions concerns the concept of equality and the concept of congruence of geometric magnitudes. What was the meaning of such concepts? How were they related to the idea of movement? Answers to these questions were often combining metric elements and other, philosophical (topological) elements, and I chose to study those of a mathematician, of a philosopher, and of a mathematician-philosopher., Les mathématiciens et les philosophes arabophones, comme leurs prédécesseurs grecs, ont soulevé plusieurs questions épistémologiques fondamentales. Parmi ces questions figure celle qui porte sur le concept d’égalité et sur celui de congruence des grandeurs géométriques. Mais qu'entendait-on par de tels concepts ? quelle était leur relation à l'idée de mouvement ? Comme les réponses à ces questions combinaient souvent des éléments métriques et d'autres, philosophiques (topologiques), j'ai choisi d’étudier celles d'un mathématicien, d'un philosophe et d'un mathématicien-philosophe.
...MoreSimilar Citations
Book
Rahman, Shahid;
(2008)
Unity of Science in the Arabic Tradition: Science, Logic, Epistemology and Their Interactions
(/isis/citation/CBB000951507/)
Article
Lagerlund, Henrik;
(2009)
Avicenna and Ṭūsī on Modal Logic
(/isis/citation/CBB001211042/)
Article
El-Bizri, Nader;
(2007)
In Defence of the Sovereignty of Philosophy: Al-Baghdādī's Critique of Ibn Al-Haytham's Geometrisation of Place
(/isis/citation/CBB000771452/)
Article
Rashed, Roshdi;
(2012)
L'angle de contingence: Un problème de philosophie des mathématiques
(/isis/citation/CBB001220532/)
Book
Rashed, Roshdi;
(2000)
Les mathématiques infinitésimales du IXe au XIe siècle: théorie des coniques, constructions géométriques et géométrie pratique. Vol. 3: Ibn al-Haytham
(/isis/citation/CBB000774771/)
Article
Young, Gregg de;
(2008-2009)
The Taḥrīr Kitāb Uṣūl Uqlīdis of Naṣīr al-Dīn al-Ṭūsī: Its Sources
(/isis/citation/CBB001024035/)
Article
Ömer Türker;
(2014)
Being and Meaning: Fakhr al-Dîn al-Râzî and His Followers on Identity of Knowledge and Known
(/isis/citation/CBB372462790/)
Article
Young, Gregg de;
(2007)
Quṭb al-Dīn al-Shīrāzī and his Persian Translation of Naṣīr al-Dīn al-Ṭūsī's Taḥrīr uṣūl Uqlidus
(/isis/citation/CBB001024097/)
Article
Lyuter, Irina;
(2008)
Metaphysical Problems of the 13th- and 14th-Century Arabic Geometry: The Works of Naṣīr Al-Dīn Al-Ṭūsī, Quṭb Al-Dīn Al-Shīrāzī and their Contemporaries
(/isis/citation/CBB001021135/)
Article
Lit, L. W. C van;
(2011)
Naṣīr al-Dīn al- ūsī's Version of The Measurement of the Circle of Archimedes from his Revision of the Middle Books
(/isis/citation/CBB001510323/)
Article
Rashed, Roshdi;
Al-Houjairi, Mohamad;
(2010)
Sur un théorème de géométrie sphérique: Théodose, Ménélaüs, Ibn `Irāq et Ibn Hūd
(/isis/citation/CBB001021195/)
Article
Mohamed Mahdi Abdeljaouad;
(2013)
Kamāl al-Dīn al-Fārsī’s additions to Book XIII of al-Ṭūsī’s Taḥrīr
(/isis/citation/CBB791536198/)
Article
Rashed, Roshdi;
(2002)
Dio, la cosa e le matematiche
(/isis/citation/CBB000502806/)
Article
Peter Adamson;
(2018)
The Simplicity of Self-Knowledge After Avicenna
(/isis/citation/CBB502442734/)
Article
Fennane, Khalid Bouzoubaâ;
(2003)
Réflexions sur le principe de continuité à partir du commentaire d'ibn al-Haythem sur la proposition 1.7 Des Éléments d'Euclide
(/isis/citation/CBB000340503/)
Book
Roshdi Rashed;
Rāshid Roshdi;
(2017)
Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics
(/isis/citation/CBB478098275/)
Essay Review
Michel, Alain;
(2003)
Géométrie et philosophie: De Thābit ibn Qurra à ibn al-Haytham
(/isis/citation/CBB000340511/)
Article
Raynaud, Dominique;
(2014)
Building the Stemma Codicum from Geometric Diagrams
(/isis/citation/CBB001321046/)
Article
Hejri, Sajjad;
(2011)
Is the Problem of the Finitude of Dimensions Related to Geometry or Physics?
(/isis/citation/CBB001510328/)
Book
Rashed, Roshdi;
Bellosta, Hélène;
(2000)
Ibrāhīm ibn Sinān. Logique et Géométrie au Xe siècle
(/isis/citation/CBB000111392/)
Be the first to comment!