Title
A Uniform Model Of Computational Conceptual Blending
Abstract
We present a mathematical model for the cognitive operation of conceptual blending that aims at being uniform across different 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 category theory so as to follow Joseph Goguen's intuition for a mathematically precise characterisation of conceptual blending at a representation-independent level of abstraction. We prove that our amalgam-based category-theoretical model of conceptual blending is essentially equivalent to the pushout model in the ordered category of partial maps as put forward by Goguen. But unlike Goguen's approach, our model is more suitable to capture computational realisations of conceptual blending, and we exemplify this by concretising our model to computational conceptual blends for various representation formalisms and application domains. (c) 2020 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.cogsys.2020.10.003
COGNITIVE SYSTEMS RESEARCH
Keywords
DocType
Volume
Conceptual blending, Computational creativity, Amalgams, Category theory, Case-based reasoning
Journal
65
ISSN
Citations 
PageRank 
2214-4366
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
W. Marco Schorlemmer1111385.18
Enric Plaza245745.38