{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:35:34Z","timestamp":1760243734886,"version":"build-2065373602"},"reference-count":14,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2012,10,9]],"date-time":"2012-10-09T00:00:00Z","timestamp":1349740800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>This paper presents a toy model for the representation related phenomena. It is the representation that is always referred to. The represented thing in itself is indeterminate existence at a fundamental level of understanding. In order to capture such property of representation, this paper provides a toy model using an algebraic structure: torsor. The toy model captures this baselessness of representation naturally, and can be used to describe various phenomena of representations. Adopting the torsor and focusing on the two-sidedness and the closure property of representation enables the toy model to express some consistency of representations.<\/jats:p>","DOI":"10.3390\/info3040546","type":"journal-article","created":{"date-parts":[[2012,10,10]],"date-time":"2012-10-10T02:55:18Z","timestamp":1349837718000},"page":"546-566","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Toy Model for Torsorial Nature of Representations"],"prefix":"10.3390","volume":"3","author":[{"given":"Makoto","family":"Yoshitake","sequence":"first","affiliation":[{"name":"Graduate School of Business Sciences, University of Tsukuba, Tokyo 112-0012, Japan"}]}],"member":"1968","published-online":{"date-parts":[[2012,10,9]]},"reference":[{"key":"ref_1","unstructured":"Heylighen, F. (1990). Representation and Change. A Metarepresentational Framework for the Foundations of Physical and Cognitive Science, Communication & Cognition."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Yoshitake, M., and Saruwatari, Y. (2012). Extensional information articulation from the universe. Information.","DOI":"10.3390\/info3040644"},{"key":"ref_3","unstructured":"Bateson, G. (1972). Steps to an Ecology of Mind: Collected Essays in Anthropology, Psychiatry, Evolution, and Epistemology, University of Chicago Press."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF03040960","article-title":"Tutorial on ontological engineering-Part 3: Advanced course of ontological engineering","volume":"22","author":"Mizoguchi","year":"2004","journal-title":"New Gener. Comput."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Ashby, W.R. (1957). 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Theory of Information: Fundamentality,Diversity and Unification, World Scientific.","DOI":"10.1142\/7048"}],"container-title":["Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2078-2489\/3\/4\/546\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:52:42Z","timestamp":1760219562000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2078-2489\/3\/4\/546"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10,9]]},"references-count":14,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2012,12]]}},"alternative-id":["info3040546"],"URL":"https:\/\/doi.org\/10.3390\/info3040546","relation":{},"ISSN":["2078-2489"],"issn-type":[{"type":"electronic","value":"2078-2489"}],"subject":[],"published":{"date-parts":[[2012,10,9]]}}}