Impossible worlds

Impossible worlds

An impossible world is a hypothetical construct used in philosophy and logic to represent a world that cannot exist in reality due to logical contradictions or ontological problems. It may include impossible objects or entities that violate the laws of physics or logic. The concept of impossible worlds is often used in weaker logics to deal with hyperintensional phenomena and in perspective drawing to depict intentional diversions from the rules of perspective.From: Doxastic logic: a new approach [2018], Substitution inconsistencies in Transparent Intensional Logic [2021], Math and Art: An Introduction to Visual Mathematics, 2nd ed., [2022]

Fernando Pessoa's creative process as a “Theater of the Mind”

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Published in Mário S. Ming Kong, Maria do Rosário Monteiro, Maria João Pereira Neto, Creating Through Mind and Emotions, 2022

La Salette Loureiro

Indeed, it is a case of metalepsis, in which a fictional figure jumps into the real world and vice versa. In this sense, this whole case configures an “impossible world,” an incompatible world, and in contradiction with the actual world.

Substitution inconsistencies in Transparent Intensional Logic

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Published in Journal of Applied Non-Classical Logics, 2021

Miloš Kosterec

The failure of substitution of intensionally equivalent terms in many philosophically relevant contexts (knowing, believing, thinking about, claiming, … ) led to the postulation of hyperintensional contexts and hyperintensional entities (e.g. structured propositions). A plethora of systems have been developed to investigate hyperintensional phenomena. These can be roughly divided into structuralist and non-structuralist accounts. Structuralists usually posit some hyperintensional entity to stand for the meaning of a language term. Although non-structuralists accept the existence of hyperintensional phenomena, they deal with the problems they present by using weaker logics with semantics that are often specified using the notion of impossible worlds.1

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Fernando Pessoa's creative process as a “Theater of the Mind”

Substitution inconsistencies in Transparent Intensional Logic