A Uniform Model of Computational Conceptual Blending

[EN]We present a mathematical model for the cognitive operation of conceptual blending that aims at being uniform across di↵erent representation formalisms, while capturing the relevant structure of this operation. The model takes its inspiration from amalgams as applied in case-based reasoning, but...

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Detalhes bibliográficos
Autores: Schorlemmer, Marco, Plaza, Enric
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2021
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositório:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/249566
Acesso em linha:http://hdl.handle.net/10261/249566
Access Level:Acceso aberto
Palavra-chave:Conceptual blending
Computational creativities
Amalgams
Case-based reasoning
Category theory
Descrição
Resumo:[EN]We present a mathematical model for the cognitive operation of conceptual blending that aims at being uniform across di↵erent representation formalisms, while capturing the relevant structure of this operation. The model takes its inspiration from amalgams as applied in case-based reasoning, but lifts them into the theory of categories so as to follow Joseph Goguen’s intuition for a mathematically precise characterisation of conceptual blending at a representationindependent level of abstraction. We prove that our amalgam-based categorytheoretical model of conceptual blending is essentially equivalent to the pushout model in the ordered category of partial maps as put forward by Joseph Goguen. But unlike Goguen’s approach, our model is more suitable for a computational realisation of conceptual blending, and we exemplify this by concretising our model to computational conceptual blends for various representation formalisms and application domains.