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

Abstract Image 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.

[1]  Vittorio Gallese,et al.  Listening to Action-related Sentences Activates Fronto-parietal Motor Circuits , 2005, Journal of Cognitive Neuroscience.

[2]  L. Barsalou.  Grounded cognition. , 2008, Annual review of psychology.

[3]  Till Mossakowski,et al.  Ontohub: A semantic repository for heterogeneous ontologies , 2016, ArXiv.

[4]  G. Lakoff.  Philosophy in the flesh , 1999 .

[5]  David L. Davidson,et al.  The Logical Form of Action Sentences , 2001 .

[6]  J. Mandler.  On the Birth and Growth of Concepts , 2008 .

[7]  Brian Falkenhainer,et al.  The Structure-Mapping Engine * , 2003 .

[8]  G. Lakoff,et al.  Where mathematics comes from : how the embodied mind brings mathematics into being , 2002 .

[9]  Leora Morgenstern,et al.  Mid-Sized Axiomatizations of Commonsense Problems: A Case Study in Egg Cracking , 2001, Stud Logica.

[10]  Reinhold Rauh,et al.  A Cognitive Assessment of Topological Spatial Relations: Results from an Empirical Investigation , 1997, COSIT.

[11]  M. Louwerse,et al.  The linguistic and embodied nature of conceptual processing , 2010, Cognition.

[12]  Alberto H. F. Laender,et al.  Logic of Time , 2009, Encyclopedia of Database Systems.

[13]  Torsten Hahmann,et al.  Modular first-order ontologies via repositories , 2012, Appl. Ontology.

[14]  Terence Parsons,et al.  Events in the Semantics of English: A Study in Subatomic Semantics , 1990 .

[15]  D. Gentner.  Structure‐Mapping: A Theoretical Framework for Analogy* , 1983 .

[16]  Francisco C. Pereira.  Optimality Principles for Conceptual Blending: A First Computational Approach , 2003 .

[17]  Mark L. Johnson.  The body in the mind: the bodily basis of meaning , 1987 .

[18]  Kai-Uwe Kühnberger,et al.  COINVENT: Towards a Computational Concept Invention Theory , 2014, ICCC.

[19]  Anthony G. Cohn,et al.  Qualitative Spatial Representation and Reasoning , 2008, Handbook of Knowledge Representation.

[20]  Brandon Bennett,et al.  Corpus Guided Sense Cluster Analysis: a methodology for ontology development (with examples from the spatial domain) , 2014, FOIS.

[21]  Werner Kuhn,et al.  Modeling the Semantics of Geographic Categories through Conceptual Integration , 2002, GIScience.

[22]  Clayton T. Morrison,et al.  An Image Schema Language , 2006 .

[23]  Rafael Pérez y Pérez,et al.  Dev E-R: A computational model of early cognitive development as a creative process , 2015, Cognitive Systems Research.

[24]  Amitabha Mukerjee,et al.  Concretizing the image schema: How semantics guides the bootstrapping of syntax , 2012, 2012 IEEE International Conference on Development and Learning and Epigenetic Robotics (ICDL).

[25]  A. Koestler.  The Act of Creation , 1964 .

[26]  Angela Schwering,et al.  Syntactic principles of heuristic-driven theory projection , 2009, Cognitive Systems Research.

[27]  W. Bruce Croft,et al.  Domains and image schemas* , 2003 .

[28]  Kai-Uwe Kühnberger,et al.  Heuristic-Driven Theory Projection: An Overview , 2014, Computational Approaches to Analogical Reasoning.

[29]  Nathalie Sinclair,et al.  A constructive response to `Where mathematics comes from' , 2003 .

[30]  Kathleen Ahrens,et al.  Mapping Image-schemas and Translating Metaphors , 1999, PACLIC.

[31]  Mark Turner,et al.  The Way We Imagine1 , 2007 .

[32]  L. Boroditsky.  Metaphoric structuring: understanding time through spatial metaphors , 2000, Cognition.

[33]  A. Wierzbicka.  Semantics: Primes and Universals , 1996 .

[34]  Ron Chrisley,et al.  Embodied artificial intelligence , 2003, Artif. Intell..

[35]  Tony Veale,et al.  CONCEPTUAL SCAFFOLDING: A SPATIALLY FOUNDED MEANING REPRESENTATION FOR METAPHOR COMPREHENSION , 1992, Comput. Intell..

[36]  Joseph A. Goguen,et al.  Style: A Computational and Conceptual Blending-Based Approach , 2010, The Structure of Style.

[37]  Werner Kuhn,et al.  An Image-Schematic Account of Spatial Categories , 2007, COSIT.

[38]  J. Feldman,et al.  Embodied meaning in a neural theory of language , 2004, Brain and Language.

[39]  Patrick J. Hayes,et al.  A Common-Sense Theory of Time , 1985, IJCAI.

[40]  Gilles Fauconnier,et al.  Conceptual Integration Networks , 1998, Cogn. Sci..

[41]  Christoph Lange,et al.  The Distributed Ontology, Modeling and Specification Language , 2013, WoMO.

[42]  Megan Johanson,et al.  What Does Children's Spatial Language Reveal About Spatial Concepts? Evidence From the Use of Containment Expressions , 2014, Cogn. Sci..

[43]  Till Mossakowski,et al.  Carnap, Goguen, and the Hyperontologies: Logical Pluralism and Heterogeneous Structuring in Ontology Design , 2010, Logica Universalis.

[44]  George Lakoff,et al.  Women, Fire, and Dangerous Things , 1987 .

[45]  Maria M. Hedblom,et al.  Image Schemas as Families of Theories , 2015 .

[46]  Raymond W. Gibbs,et al.  Real and Imagined Body Movement Primes Metaphor Comprehension , 2007, Cogn. Sci..

[47]  Catherine L. Harris,et al.  The human semantic potential: Spatial language and constrained connectionism , 1997 .

[48]  D. Holdstock.  Past, present--and future? , 2005, Medicine, conflict, and survival.

[49]  T. Rohrer.  Image schemata in the brain , 2005 .

[50]  Christoph Lange,et al.  Three Semantics for the Core of the Distributed Ontology Language , 2012, FOIS.

[51]  Jean M. Mandler,et al.  A summary of The foundations of mind: Origins of conceptual thought , 2004 .

[52]  G. Lakoff,et al.  The Brain's concepts: the role of the Sensory-motor system in conceptual knowledge , 2005, Cognitive neuropsychology.

[53]  Gerald A. Goldin,et al.  Counting on the metaphorical , 2001, Nature.

[54]  Alan Smaill,et al.  Computational Creativity Research: Towards Creative Machines , 2014, Atlantis Thinking Machines.

[55]  Jean M. Mandler,et al.  On defining image schemas , 2014, Language and Cognition.

[56]  Santiago Ontañón,et al.  Amalgams: A Formal Approach for Combining Multiple Case Solutions , 2010, ICCBR.

[57]  J. Mandler.  How to build a baby: II. Conceptual primitives. , 1992, Psychological review.

[58]  Arthur Buchsbaum,et al.  The Road to Universal Logic: Festschrift for 50th Birthday of Jean-Yves Béziau, Volume I , 2015 .

[59]  D. Vernon.  Artificial Cognitive Systems: A Primer , 2014 .

[60]  T. Veale,et al.  E unis pluribum: using mental agility to achieve creative duality in word, image and sound , 2013 .

[61]  J. Bateman,et al.  Ontological Blending in DOL , 2012 .

[62]  G. Fauconnier,et al.  The Way We Think: Conceptual Blending and the Mind''s Hidden Complexities. Basic Books , 2002 .

[63]  Fabian Neuhaus,et al.  On the Cognitive and Logical Role of Image Schemas in Computational Conceptual Blending , 2014, AIC.

[64]  Yulia Dodonova,et al.  Faster on easy items, more accurate on difficult ones: Cognitive ability and performance on a task of varying difficulty , 2013 .

[65]  G. Lakoff,et al.  Women, Fire, and Dangerous Things: What Categories Reveal about the Mind , 1988 .

[66]  W. Bruce Croft,et al.  Domains, image-schemas and construal. , 1999 .

[67]  Till Mossakowski,et al.  Blending in the Hub , 2014, ICCC.

[68]  Michael F. Worboys,et al.  An Algebraic Approach to Image Schemas for Geographic Space , 2009, COSIT.

[69]  S. Wölfl,et al.  The Heterogeneous Tool Set , 2007 .

[70]  Christopher Menzel.  Knowledge representation, the World Wide Web, and the evolution of logic , 2009, Synthese.

[71]  Mark Turner,et al.  The Origin of Ideas: Blending, Creativity, and the Human Spark , 2014 .

[72]  Z. Kövecses,et al.  Metaphor: A Practical Introduction , 2002 .

[73]  George Lakoff,et al.  Cognitive Topology and Lexical Networks , 1988 .