scholarly journals Image Schemas and Conceptual Blending in Diagrammatic Reasoning: The Case of Hasse Diagrams

2021 ◽  
pp. 297-314
Author(s):  
Dimitra Bourou ◽  
Marco Schorlemmer ◽  
Enric Plaza
Keyword(s):  
Cognitive Linguistics ◽  
Spatial Reasoning ◽  
Good Practice ◽  
Diagrammatic Reasoning ◽  
Order Logic ◽  
Qualitative Spatial Reasoning ◽  
Conceptual Blending ◽  
Hasse Diagrams ◽  
Image Schemas ◽  
Diagram Design

AbstractIn this work, we propose a formal, computational model of the sense-making of diagrams by using the theories of image schemas and conceptual blending, stemming from cognitive linguistics. We illustrate our model here for the case of a Hasse diagram, using typed first-order logic to formalise the image schemas and to represent the geometry of a diagram. The latter additionally requires the use of some qualitative spatial reasoning formalisms. We show that, by blending image schemas with the geometrical configuration of a diagram, we can formally describe the way our cognition structures the understanding of, and the reasoning with, diagrams. In addition to a theoretical interest for diagrammatic reasoning, we also briefly discuss the cognitive underpinnings of good practice in diagram design, which are important for fields such as human-computer interaction and data visualization.

scholarly journals A Cognitively-Inspired Model for Making Sense of Hasse Diagrams

2021 ◽  
Author(s):  
Dimitra Bourou ◽  
Marco Schorlemmer ◽  
Enric Plaza
Keyword(s):  
Spatial Reasoning ◽  
Geometric Configuration ◽  
Sense Making ◽  
Qualitative Spatial Reasoning ◽  
Diagram Geometry ◽  
Hasse Diagrams ◽  
Image Schemas ◽  
Making Sense ◽  
Logical Semantics

In this paper, we present a model of the sense-making process for diagrams, and describe it for the case of Hasse diagrams. Sense-making is modeled as the construction of networks of conceptual blends among image schemas and the diagram’s geometric configuration. As a case study, we specify four image schemas and the geometric configuration of a Hasse diagram, with typed FOL theories. In addition, for the diagram geometry, we utilise Qualitative Spatial Reasoning formalisms. Using an algebraic specification language, we can compute conceptual blends as category-theoretic colimits. Our model approaches sense-making as a process where the image schemas and the diagram geometry both structure each other through a complex network of conceptual blends. This yields a final blend in which the sort of inferences we confer to diagrammatic representations emerge. We argue that this approach to sense-making in diagrams is more cognitively apt than the mainstream view of a diagram being a syntactic representation of some underlying logical semantics. Moreover, our model could be applied to various types of stimuli and is thus valuable for the general field of AI.

scholarly journals From Simple Metaphors to Conceptual Blending: The Mapping of Analogical Concepts and the Praxis of Translation

2006 ◽  
Vol 2 (1) ◽  
pp. 31-81
Author(s):  
Kenneth A. McElhanon
Keyword(s):  
Cognitive Linguistics ◽  
Conceptual Blending ◽  
Conceptual Metaphors ◽  
Image Schemas ◽  
Optimality Principles

I have five goals for this paper. First, I will demonstrate the influence that the understanding of metaphor has had on the praxis of translation. Second, I will introduce and apply more recent insights in human conceptual processes, in particular those of image-schemas, conceptual metaphors and conceptual blends. Third, I will introduce optimality principles and relate them to the suggested conceptual blends. Fourth, I will present some translations of conceptual blends and then suggest optimality principles for translating conceptual blends and evaluate the translations by them. Finally, I will suggest areas that require further research. This study is exploratory and suggestive. Hopefully, readers will wish to broaden their understanding of cognitive linguistics and refine what is presented here.

scholarly journals Choosing the Right Path: Image Schema Theory as a Foundation for Concept Invention

2015 ◽  
Vol 6 (1) ◽  
pp. 21-54 ◽  
Author(s):  
Maria M. Hedblom ◽  
Oliver Kutz ◽  
Fabian Neuhaus
Keyword(s):  
Cognitive Linguistics ◽  
Computational Modelling ◽  
Path Following ◽  
Schema Theory ◽  
Human Cognition ◽  
Conceptual Blending ◽  
Creative Thought ◽  
Image Schemas ◽  
Image Schema ◽  
The Right

AbstractImage schemas are recognised as a fundamental ingredient in human cognition and creative thought. They have been studied extensively in areas such as cognitive linguistics. With the goal of exploring their potential role in computational creative systems, we here study the viability of the idea to formalise image schemas as a set of interlinked theories. We discuss in particular a selection of image schemas related to the notion of ‘path’, and show how they can be mapped to a formalised family of microtheories reflecting the different aspects of path following. Finally, we illustrate the potential of this approach in the area of concept invention, namely by providing several examples illustrating in detail in what way formalised image schema families support the computational modelling of conceptual blending.

PLCA

2012 ◽  
pp. 63-96 ◽  
Author(s):  
Kazuko Takahashi
Keyword(s):  
Graph Theory ◽  
Computational Geometry ◽  
Spatial Data ◽  
Qualitative Data ◽  
Spatial Reasoning ◽  
Research Area ◽  
Qualitative Spatial Reasoning ◽  
Research Areas ◽  
Fruitful Research ◽  
Topology Graph

This chapter describes a framework called PLCA for Qualitative Spatial Reasoning (QSR) based on the connection patterns of regions. The goal of this chapter is to provide a simple but expressive and feasible representation for qualitative data with sufficient reasoning ability. PLCA provides a symbolic representation for spatial data using simple objects. The authors of this chapter define its expression and operations on it, and show the correspondance between the expression and a figure. PLCA also provides semantical reasoning incorporated with spatial reasoning. Moreover, it can be extended to handle shapes of regions. Throughout the study, the authors discovered many topics that relate QSR to other research areas such as topology, graph theory, and computational geometry, while achieving the research goals. This indicates that QSR is a very fruitful research area.

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