Knowledge Graphs, Metadata Practices, and Badiou's Mathematical Ontology
Keywords:knowledge graphs, Semantic Web, philosophical ontology, metadata, critical cataloguing practice, Alain Badiou
Metadata practices in libraries have been shifting towards a graph-centric data model for a number of years due to the influence of the Semantic Web on metadata standards as well as the ongoing engagement of libraries with linked data. This trend is likely to be sustained by the growth of the knowledge graph domain, which is animated by the interests of large technology companies and which represents a continuation of earlier programmes such as expert systems and the Semantic Web. Given the role of Semantic Web ontologies in knowledge graph development and the relevance of philosophical questions of ontology to cataloguing theory, metadata practitioners require theoretical frameworks suitable for conceptualizing the knowledge graph data model’s mixture of data and ontology. To that end, this paper considers the mathematical ontology of philosopher Alain Badiou, which employs set theory to schematize a theory of the multiple. It outlines how Badiou’s ontology is compatible with the graph data model and what it offers to metadata practitioners seeking to critically engage the knowledge graph paradigm.
Allemang, Dean, and Jim Hendler. 2011. Semantic Web for the Working Ontologist: Effective Modeling in RDFS and OWL. 2nd ed. Waltham, MA: Morgan Kaufmann.
Badiou, Alain. 1999. Deleuze: The Clamor of Being. Translated by Louise Burchill. Minneapolis: University of Minnesota Press.
Badiou, Alain. 2005a. Being and Event. Translated by Oliver Feltham. London: Continuum.
Badiou, Alain. 2005b. Metapolitics. Translated by Jason Barker. London: Verso.
Badiou, Alain. 2006. Briefings on Existence: A Short Treatise on Transitory Ontology. Translated by Norman Madarasz. Albany, NY: State University of New York Press.
Badiou, Alain. 2009. Logics of Worlds: Being and Event, 2. Translated by Alberto Toscano. London: Bloomsbury.
Baker, Thomas, Sean Bechhofer, Antoine Isaac, Alistair Miles, Guus Schreiber, and Ed Summers. 2013. “Key Choices in the Design of Simple Knowledge Organization System (SKOS).” Journal of Web Semantics 20: 35–49. https://doi.org/10.1016/j.websem.2013.05.001.
Baker, Tom. 2013. “Designing Data for the Open World of the Web.” JLIS: Italian Journal of Library, Archives and Information Science = Rivista italiana di biblioteconomia, archivistica e scienza dell’informazione 4 (1): 63–66. https://doi.org/10.4403/jlis.it-6308.
Barrasa, Jesús. 2017. “RDF Triple Stores vs. Labeled Property Graphs: What’s the Difference?” https://neo4j.com/blog/rdf-triple-store-vs-labeled-property-graph-difference/. Archived at: https://perma.cc/V4JE-5QXL.
Borgman, Christine L. 2001. From Gutenberg to the Global Information Infrastructure: Access to Information in the Networked World. Cambridge, MA: MIT Press.
Branan, Bill, and Michelle Futornick. 2018. “Linked Data for Production (LD4P).” Last modified January 10, 2020. https://wiki.lyrasis.org/display/LD4P.
Branan, Bill, and Michelle Futornick. 2021. “Linked Data for Production: Closing the Loop (LD4P3).” Last modified March 21, 2022. https://wiki.lyrasis.org/pages/viewpage.action?pageId=187176106.
Chen, Xiaojun, Shengbin Jia, and Yang Xiang. 2020. “A Review: Knowledge Reasoning over Knowledge Graph.” Expert Systems with Applications 141: 112948. https://doi.org/10.1016/j.eswa.2019.112948.
Coyle, Karen, and Tom Baker. 2013. “Dublin Core Application Profiles: Separating Validation from Semantics.” http://www.w3.org/2001/sw/wiki/images/4/4a/RDFVal_Coyle_Baker.pdf. Archived at: https://perma.cc/M2KV-TFF5.
Deleuze, Gilles. 1988. Bergsonism. Translated by Hugh Tomlinson and Barbara Habberjam. New York: Zone Books.
Dublin Core Metadata Initiative. 2020. “DCMI Metadata Terms.” https://www.dublincore.org/specifications/dublin-core/dcmi-terms/. Archived at: https://perma.cc/H454-7BKK.
Dublin Core Metadata Initiative. 2021. “Specifications: Dublin Core.” https://www.dublincore.org/specifications/dublin-core/.
Ehrlinger, Lisa, and Wolfram Wöß. 2016. “Towards a Definition of Knowledge Graphs.” In Posters & Demos @ SEMANTiCS 2016 and SuCCESS’16 Workshop, edited by Michael Martin, Martí Cuquet, and Erwin Folmer. http://ceur-ws.org/Vol-1695/paper4.pdf. Archived at: https://perma.cc/24CE-W8VD.
Feilmayr, Christina, and Wolfram Wöß. 2016. “An Analysis of Ontologies and Their Success Factors for Application to Business.” Data & Knowledge Engineering 101: 1–23. https://doi.org/10.1016/j.datak.2015.11.003.
“Forcing Method.” n.d. Encyclopedia of Mathematics. http://encyclopediaofmath.org/index.php?title=Forcing_method&oldid=51543. Archived at: https://perma.cc/ZQ8S-VGQA.
Folsom, Steven M., and Edgar Jones. 2022. “ Interview with Steven Folsom on Linked Data.” Cataloging & Classification Quarterly 60 (1): 1–12. https://doi.org/10.1080/01639374.2021.2010854.
Furner, Jonathan. 2012. “FRSAD and the Ontology of Subjects of Works.” Cataloging & Classification Quarterly 50 (5–7): 494–516. https://doi.org/10.1080/01639374.2012.681269.
Futornick, Michelle. 2020. “Linked Data for Production: Pathway to Implementation (LD4P2).” Last modified April 20, 2021. https://wiki.lyrasis.org/display/LD4P2.
Gayo, Jose Emilio Labra, Eric Prud’hommeaux, Iovka Boneva, and Dimitris Kontokostas. 2018. Validating RDF Data. Burlington, MA. Morgan & Claypool Publishers. https://doi.org/10.2200/S00786ED1V01Y201707WBE016.
Gemberling, Ted. 2016. “FRSAD, Semiotics, and FRBR-LRM.” Cataloging & Classification Quarterly 54 (2): 136–44. https://doi.org/10.1080/01639374.2015.1133751.
Gratton, Peter. 2010. “Change We Can’t Believe In: Adrian Johnston on Badiou, Žižek, & Political Transformation.” International Journal of Žižek Studies 4 (3). http://zizekstudies.org/index.php/IJZS/article/view/363/363.
Hardesty, Juliet L., and Jennifer B. Young. 2017. “The Semantics of Metadata: Avalon Media System and the Move to RDF.” Code4lib Journal 37. https://journal.code4lib.org/articles/12668.
Hoede, Cornelis. 1995. “On the Ontology of Knowledge Graphs.” In ICCS 1995: Conceptual Structures: Applications, Implementation and Theory, edited by Gerard Ellis, Robert Levinson, William Rich, and John F. Sowa, 308–22. Berlin: Springer. https://doi.org/10.1007/3-540-60161-9_46.
IFLA Working Group on the Functional Requirements for Subject Authority Records (FRSAR). 2011. Functional Requirements for Subject Authority Data (FRSAD): A Conceptual Model. Edited by Marcia Lei Zeng, Maja Žumer, and Athena Salaba. https://repository.ifla.org/handle/123456789/835.
Ji, Shaoxiong, Shirui Pan, Erik Cambria, Pekka Marttinen, and Philip S. Yu. 2021. “A Survey on Knowledge Graphs: Representation, Acquisition, and Applications.” IEEE Transactions on Neural Networks and Learning Systems 33 (2): 494–514. https://doi.org/10.1109/TNNLS.2021.3070843.
Laruelle, François. 2013. Anti-Badiou: The Introduction of Maoism into Philosophy. Translated by Robin Mackay. London: Bloomsbury.
Lawlor, Leonard, and Valentine Moulard Leonard. 2020. “Henri Bergson.” The Stanford Encyclopedia of Philosophy Edited by Edward N. Zalta. https://plato.stanford.edu/archives/fall2020/entries/bergson/. Archived at: https://perma.cc/9RN4-TGDQ.
LD4. 2020. “2020 LD4 Conference on Linked Data in Libraries.” https://sites.google.com/stanford.edu/ld42020/.
LD4. 2021. “LD4 Community.” https://sites.google.com/stanford.edu/ld4-community-site/home.
Library of Congress. 2013. “MODS RDF Ontology: Primer.” Metadata Object Description Schema. http://www.loc.gov/standards/mods/modsrdf/primer.html. Archived at: https://perma.cc/K9FV-A7AH.
Library of Congress. 2016. “MODS: Uses and Features.” Metadata Object Description Schema. https://www.loc.gov/standards/mods/mods-overview.html.
Library of Congress. 2021. “Bibliographic Framework Initiative.” https://www.loc.gov/bibframe/.
Ling, Xiao. 2020. “Knowledge Base Construction at Apple Siri.” Presentation at Stanford CS 520 Knowledge Graphs seminar, April 7, 2020. YouTube video, 1:53:27 (presentation begins at time-mark 1:03:50). https://youtu.be/ZWM-Dlw3VCM.
Monea, Alexander. 2016. “The Graphing of Difference: Numerical Mediation and the Case of Google’s Knowledge Graph.” Cultural Studies ↔ Critical Methodologies 16 (5): 452–61. https://doi.org/10.1177/1532708616655763.
Nirenberg, Ricardo L., and David Nirenberg. 2011. “Badiou’s Number: A Critique of Mathematics as Ontology.” Critical Inquiry 37 (4): 583–614. https://doi.org/10.1086/660983.
Nirenberg, Ricardo L., and David Nirenberg. 2012. “Reply to Badiou, Bartlett, and Clemens.” Critical Inquiry 38 (2): 381–87. https://doi.org/10.1086/662748.
Oldman, Dominic, and Diana Tanase. 2018. “Reshaping the Knowledge Graph by Connecting Researchers, Data and Practices in ResearchSpace.” In The Semantic Web – ISWC 2018, edited by Denny Vrandečić, Kalina Bontcheva, Mari Carmen Suárez-Figueroa, Valentina Presutti, Irene Celino, Marta Sabou, Lucie-Aimée Kaffee, and Elena Simperl, 325–40, Berlin: Springer. https://doi.org/10.1007/978-3-030-00668-6_20.
Olson, Hope A. 2002. The Power to Name: Locating the Limits of Subject Representation in Libraries. Dordrecht: Kluwer Academic Publishers.
Open Archives Initiative. n.d. “Open Archives Initiative Object Exchange and Reuse.” https://www.openarchives.org/ore/.
Radio, Erik. 2018. “Abstraction, Concrescence, and Identity in Descriptive Metadata.” Journal of Library Metadata 18 (1): 31–44. https://doi.org/10.1080/19386389.2018.1461455.
Rahman, Shiva. 2019. “On Why Mathematics Can Not Be Ontology.” Axiomathes 29: 289–96. https://doi.org/10.1007/s10516-018-9406-2.
Reformat, Marek Z., Giuseppe D’Aniello, and Matteo Gaeta. 2018. “Knowledge Graphs, Category Theory and Signatures.” In 2018 IEEE/WIC/ACM International Conference on Web Intelligence (WI), 480–87. https://doi.org/10.1109/WI.2018.00-49.
Samvera MODS to RDF Working Group. 2019. MODS to RDF Mapping Recommendations. https://repo.samvera.org/concern/generic_works/b922d5e1-abfe-4305-a696-0c6d72c962ff.
Schema.org. 2021. https://schema.org/.
Schreur, Philip. 2018. “The Evolution of BIBFRAME: From MARC Surrogate to Web Conformant Data Model.” Paper presented at IFLA WLIC 2018, Kuala Lumpur. http://library.ifla.org/id/eprint/2202.
Smith, Anthony Paul. 2013. Review of Anti-Badiou: On the Introduction of Maoism into Philosophy, by François Laruelle. Notre Dame Philosophical Reviews. https://ndpr.nd.edu/reviews/anti-badiou-on-the-introduction-of-maoism-into-philosophy/. Archived at: https://perma.cc/224N-HCM7.
Sri Nurdiati, S. N., and Cornelis Hoede. 2008. “25 Years Development of Knowledge Graph Theory: The Results and the Challenge.” Memorandum 2/1876 : 1–10. https://research.utwente.nl/en/publications/25-years-development-of-knowledge-graph-theory-the-results-and-th.
Stokman, Frans N., and Pieter H. de Vries. 1988. “Structuring Knowledge in a Graph.” In Human-Computer Interaction: Psychonomic Aspects, edited by Gerrit. C. van der Veer and Gijsbertus Mulder, 186–206. Berlin: Springer. https://doi.org/10.1007/978-3-642-73402-1_12.
Sullivan, Danny. 2020. “A Reintroduction to Our Knowledge Graph and Knowledge Panels.” The Keyword (blog). Google. https://blog.google/products/search/about-knowledge-graph-and-knowledge-panels/. Archived at: https://perma.cc/7FRL-7T6V.
Uschold, Michael. 2018. Demystifying OWL for the Enterprise. Burlington, MA: Morgan & Claypool Publishers.
W3C. 2014. “ RDF 1.1 Concepts and Abstract Syntax.” https://www.w3.org/TR/rdf11-concepts/.
Wenger-Trayner, Etienne, and Beverly Wenger-Trayner. 2020. Learning to Make a Difference: Value Creation in Social Learning Spaces. Cambridge: Cambridge University Press.
Yoose, Becky, and Jody Perkins. 2013. “The Linked Open Data Landscape in Libraries and Beyond.” Journal of Library Metadata 13 (2–3): 197–211. https://doi.org/10.1080/19386389.2013.826075.
Zalamea, Fernando. 2012. Synthetic Philosophy of Contemporary Mathematics. Translated by Zachary Luke Fraser. Falmouth: Urbanomic.
Zeng, Marcia Lei, and Jian Qin. 2008. Metadata. New York: Neal-Schuman Publishers.
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