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Article Dans Une Revue Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics Année : 2022

Further examples of apodictic discourse, II

Quelques autres exemples de discours apodictique, II

Résumé

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.
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hal-03979294 , version 1 (08-02-2023)

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  • HAL Id : hal-03979294 , version 1

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Satyanad Kichenassamy. Further examples of apodictic discourse, II. Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics, inPress. ⟨hal-03979294⟩

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