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A Taxonomic Analysis of Abstraction
1Psychology and Center for Research in Mathematics and Science Education, San Diego State University sreed@mail.sdsu.edu.
Knowledge exists at multiple levels of abstraction, influencing cognitive processes like perception and memory. This study proposes a taxonomy to unify theories on how abstraction impacts concepts, attributes, and categories in cognition.
Area of Science:
- Cognitive Psychology
- Cognitive Science
- Psychology
Background:
- Knowledge representation is multifaceted, existing across various levels of abstraction.
- Existing theories on abstraction's cognitive impact lack a unifying framework.
- Understanding abstraction is crucial for explaining perception, comprehension, memory, and thought.
Purpose of the Study:
- To propose a unifying taxonomy for understanding abstraction in cognitive processes.
- To differentiate between abstract entities, attribute abstraction, and abstract ideas.
- To explore how concrete and abstract mental representations differ.
Main Methods:
- Developed a taxonomy based on three senses of abstraction: abstract entities, attribute focus, and category generalization.
- Applied the taxonomy to analyze mental representations of instances, attributes, and categories.
- Examined the interplay of categorization strategies with abstraction at different levels.
Main Results:
- Distinguished concrete representations (modal images, equivalent attributes, exemplars) from abstract ones (amodal propositions, distinctive attributes, rules/prototypes).
- Demonstrated how abstraction influences perception, comprehension, categorization, memory, and thought.
- Showcased the application of the proposed taxonomy to words, pictures, problems, and hierarchical levels.
Conclusions:
- The proposed taxonomy offers a common conceptual framework for diverse theories of abstraction.
- Abstraction operates distinctly at the entity, attribute, and category levels, impacting mental representations.
- Further research can extend this framework to explore hierarchical abstraction and its implications.
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