Further Examples of Apodictic Discourse, II

By : Satyanad Kichenassamy

Page No: 51-94

Abstract
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 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.

Author :
Satyanad Kichenassamy : Professor of Mathematics, Université de Reims Champagne-Ardenne, Laboratoire de Mathématiques de Reims (CNRS, UMR9008), B.P. 1039, F-51687 Reims Cedex 2.
 

DOI: https://doi.org/10.32381/GB.2022.44.1.2