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Abstraction: Nature,costs, and benefits
Institution:1. Department of Psychology, University of Queensland, Brisbane, Qld 4072, Australia;2. University of New South Wales, Sydney, NSW, Australia;3. Electrotechnical Laboratory, Tsukuba Science City, Tsukuba, Japan;1. School of Energy Resources, China University of Geosciences, Beijing 100083, China;2. Coal Reservoir Laboratory of National Engineering Research Center of CBM Development & Utilization, China University of Geosciences, Beijing 100083, China;3. School of Water Resources and Environment, China University of Geosciences, Beijing 100083, China;4. School of Engineering, Fraser Noble Building, King''s College, University of Aberdeen, AB24 3UE Aberdeen, UK;1. Institute for Sustainable Development and International Relations (IDDRI), 41 rue du Four, 75006 Paris, France;2. Cemotev, Université de Versailles Saint Quentin-en-Yvelines, BâtimentVauban, 47 bd Vauban, 78047 Guyancourt Cedex, France;3. Artdev, cirad, 73 rue Jean-François Breton, 34398 Montpellier, France;1. Brazilian National Center of Monitoring and Early Warning of Natural Disasters (Cemaden), Brazil;2. Federal University of São Paulo, Brazil;1. NASA Goddard Space Flight Center, Greenbelt, MD, USA;2. Center for Space Science & Technology, University of Maryland, Baltimore County, Baltimore, MD, USA;3. Mini-Mass Consulting, Inc., Hyattsville, MD, USA;4. Danell Consulting, Inc., Winterville, NC, USA;5. Honeybee Robotics, Pasadena, CA, USA;6. ATA Aerospace, LLC, Greenbelt, MD, USA;7. Kapscience, Tewksbury, MA, USA
Abstract:It is argued that abstract cognitive processes entail the processing of relations, which differ from more primitive cognitive processes in being more accessible, more flexible, and less content-specific. A relation is a binding between a relation-symbol or predicate, and one or more arguments. Each argument corresponds to a slot which can be filled in a number of ways, so the relation is independent of specific arguments. The binding of arguments to a relation-symbol means that the relation can be an argument to other relations, and is therefore accessible to other cognitive processes based on relations. It can be shown that the building blocks of cognitive processes, such as propositions, and trees can be expressed as relations. Each argument constitutes a dimension in the space represented by the relation, and the number of arguments provides a metric for conceptual complexity. Neural net modelling shows why relational representations impose a processing load which is a function of the number of dimensions.
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