Nyayasutra proof pattern: An interpretation of similarity as the fact of sharing two properties

Khrennikov, Andrei; Toni, Bourama

Keywords: inference, reasoning, Carnap, Reduction sentence, Nyayasutra

Abstract

In the book Nyayasutra, there is an inference that Schayer related to first-order predicate logic. The relation was challenged, because it seemed to ignore important components of that Indian inference. The present paper also proposes a relation to first-order predicate calculus. However, it comes to the new relation following contemporary approaches about human reasoning: the theory of mental models and case-based reasoning. The main idea is that the chief concept in the inference in the Nyayasutra is that of similarity. If that concept is understood as the fact of sharing two properties, it is possible to link the inference to Carnap’s reduction sentences. This allows thinking that, although they belong to different intellectual traditions, the Indian inference and Carnap’s reduction sentences have a similar potential for the analysis of scientific definitions.

Más información

Editorial: Springer
Fecha de publicación: 2023
Página de inicio: 21
Página final: 31
Idioma: English
Financiamiento/Sponsor: Programa de Investigación Asociativa en Ciencias Cognitivas, Centro de Investigación en Ciencias Cognitivas, Instituto de Estudios Humanísticos, Universidad de Talca. Fondo Fondecyt de Continuidad para Investigadores Senior, código FCSEN2102, Universidad
URL: https://doi.org/10.1007/978-3-031-41862-4_3
DOI:

https://doi.org/10.1007/978-3-031-41862-4_3