Detalle Publicación

Tolerant reasoning: nontransitive or nonmonotonic?

Autores: Cobreros Bordenave, Pablo; Egré, P.; Ripley, D.; van Rooij, R. (Autor de correspondencia)
Título de la revista: SYNTHESE
ISSN: 0039-7857
Volumen: 199
Número: Supl. 3
Páginas: 681 - 705
Fecha de publicación: 2021
The principle of tolerance characteristic of vague predicates is sometimes presented as a soft rule, namely as a default which we can use in ordinary reasoning, but which requires care in order to avoid paradoxes. We focus on two ways in which the tolerance principle can be modeled in that spirit, using special consequence relations. The first approach relates tolerant reasoning to nontransitive reasoning; the second relates tolerant reasoning to nonmonotonic reasoning. We compare the two approaches and examine three specific consequence relations in relation to those, which we call: strict-to-tolerant entailment, pragmatic-to-tolerant entailment, and pragmatic-to-pragmatic entailment. The first two are nontransitive, whereas the latter two are nonmonotonic.