Further examples of apodictic discourse, I - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics Année : 2022

Further examples of apodictic discourse, I

Quelques autres exemples de discours apodictique, I

Résumé

The analysis of problematic mathematical texts, particularly from India, has required the introduction of a new category of rigorous discourse, apodictic discourse. We briefly recall why this introduction was necessary. We then show that this form of discourse is widespread among scholars, even in contemporary Mathematics, in India and elsewhere. It is in India a natural outgrowth of the emphasis on non-written communication, combined with the need for freedom of thought. New results in this first part include the following: (i) Āryabhaṭa proposed a geometric derivation of a basic algebraic identity; (ii) Brahmagupta proposed an original argument for the irrationality of quadratic surds on the basis of his results on the varga-prakṛti problem, thereby justifying his change in the definition of the word karaṇī.
Fichier non déposé

Dates et versions

hal-03841167 , version 1 (06-11-2022)

Identifiants

  • HAL Id : hal-03841167 , version 1

Citer

Satyanad Kichenassamy. Further examples of apodictic discourse, I. Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics, 2022. ⟨hal-03841167⟩
48 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More