@inbook{75b34d689d4b402ca085300358d17856,
title = "Non-Normal Worlds and Representation",
abstract = "World semantics for relevant logics include so-called non-normal or impossible worlds providing model-theoretic coun- terexamples to such irrelevant entailments as (A ¿ ¬A) ¿ B, A ¿ (B¿¬B), or A ¿ (B ¿ B). Some well-known views interpret non-normal worlds as information states. If so, they can plausibly model our ability of conceiving or representing logical impossibilities. The phenomenon is explored by combining a formal setting with philosophical discussion. I take Priest{\textquoteright}s basic relevant logic N4 and extend it, on the syntactic side, with a representation operator, (R), and on the semantic side, with particularly anarchic non-normal worlds. This combination easily invalidates unwelcome “logical omniscience” inferences of standard epistemic logic, such as belief-consistency and closure under entailment. Some open questions are then raised on the best strategies to regiment (R) in order to express more vertebrate kinds of conceivability.",
keywords = "Epistemic logic, Non-normal worlds, Modal Logic",
author = "Francesco Berto",
year = "2012",
month = may,
day = "23",
language = "English",
isbn = "978-1-84890-071-4",
series = "The Logica Yearbook",
publisher = "College Publications",
pages = "15--30",
editor = "Michal Pelis and Vit Puncochar",
booktitle = "The Logica Yearbook 2011",
}