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{ "pk": 31803, "title": "A Cognitive Taxonomy of Numeration Systems", "subtitle": null, "abstract": "In this paper, we study the representational\nproperties of numeration systems. W e argue that\nnumeration systems are distributed representa-\ntions—representations that are distributed\nacross the internal mind and the external envi-\nronment. W e analyze number representations at\nfour levels: dimensionality, dimensional repre-\nsentations, bases, and symbol representations.\nThe representational properties at these four\nlevels determine the representational efficien-\ncies of numeration systems and the performance\nof numeric tasks. From this hierarchical struc-\nture, we derive a cognitive taxonomy that can\nclassify most numeration systems.", "language": "eng", "license": { "name": "", "short_name": "", "text": null, "url": "" }, "keywords": [], "section": "Submitted Presentations", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/0z0267h3", "frozenauthors": [ { "first_name": "Jiajie", "middle_name": "", "last_name": "Zhang", "name_suffix": "", "institution": "The Ohio State University", "department": "" }, { "first_name": "Donald.", "middle_name": "A .", "last_name": "Norman", "name_suffix": "", "institution": "Apple Computer, Inc", "department": "" } ], "date_submitted": null, "date_accepted": null, "date_published": "1993-01-01T18:00:00Z", "render_galley": null, "galleys": [ { "label": "PDF", "type": "pdf", "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/31803/galley/22871/download/" } ] }