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2022
- handle: 10670/1.4vffnt
- hal: hal-03979294
Mots-clés
Discourse Analysis history of mathematics Brahmagupta Aryabhaṭa kuṭṭaka varga-prakriti algebraic identities algebra in several variables Joan W Scott Epistémologie historique Epistemic cultures MSC 2020: 01A32, 51-03Sujets proches
Math Methods of analysis Analysis and chemistry Analytical methods Chemical analysis Analysis methods Analysis and examinationCiter ce document
Satyanad Kichenassamy, « Quelques autres exemples de discours apodictique, II », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10670/1.4vffnt
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The analysis of problematic mathematical texts, particularly from India, has required the introduction of a new category of rigorous discourse, apodictic discourse. In this second part, we show that its introduction clarifies the approach to epistemic cultures. We also show that the notion of to the fantasy echo is relevant in Epistemology, as suggested by J.W.Scott. We then continue our earlier analysis of Brahmagupta’s Prop. 12.21-32 on the cyclic quadrilateral and identify discursive strategies that enable him to convey definitions, hypotheses and derivations encoded in the very structure of the propositions stating his new results. We also show that the statements of mathematical formulae in words also follow definite discursive patterns.