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{ "pk": 29256, "title": "Five aspects of compositionality and a universal principle", "subtitle": null, "abstract": "Compositionality supposedly explains structure-sensitive features of cognition, such as productivity and systematicity.However, the nature of compositionality is still controversial: e.g., symbolic versus subsymbolic. Category theory—a formal theory of structure—provides an explanation for systematicity in terms of universal morphisms: the optimalfactorization of cognitive components (Phillips & Wilson, 2010). We survey five aspects of compositionality as they relateto formal properties of universal morphisms. The emerging view is a unified (universal) principle for compositionality.This category theoretical view affords a novel perspective on the emergence of symbol systems, i.e. as the construction ofuniversal morphisms, which is illustrated in regard to some empirical data.", "language": "eng", "license": { "name": "", "short_name": "", "text": null, "url": "" }, "keywords": [], "section": "Member Abstracts", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/7t10p9q3", "frozenauthors": [ { "first_name": "Steven", "middle_name": "", "last_name": "Phillips", "name_suffix": "", "institution": "National Institute of Advanced Industrial Science and Technology", "department": "" } ], "date_submitted": null, "date_accepted": null, "date_published": "2019-01-01T18:00:00Z", "render_galley": null, "galleys": [ { "label": "PDF", "type": "pdf", "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/29256/galley/19127/download/" } ] }