Øystein Linnebo

See also my personal website, which contains preprints of most of my published articles.
Academic Interests
Higher education and employment history
I took up my current position as Professor of Philosophy at the University of Oslo in August 2012. Before that, I was a Professorial Fellow at the Northern Institute of Philosophy, Aberdeen, a Professor in the Department of Philosophy at Birkbeck College (January 2010 - July 2012), and a Lecturer and then Reader in Philosophy at the University of Bristol. I have also held Research Fellowships at the Universities of Oxford and Oslo. I obtained a PhD from the Department of Philosophy at Harvard University in 2002 and an MA in Mathematics at the University of Oslo in 1996.
Recent teaching
- FIL1001 Introduction to Metaphysics and the Philosophy of Mind (autumn 2019 and 2020)
- FIL1006 Introduction to Logic (spring 2014)
- FIL2405/4405 Philosophy of Logic and Mathematics (spring 2020 and 2021)
- FIL2506/4630 Inheriting from Frege and Russell (autumn 2014)
- FIL4400 Philosophy of Language and Logic (autumn 2017)
Academic responsibilities and honors
- Head of Research, IFIKK (2021 - )
- Member of Department Board, IFIKK (2013 - 2020)
- Head of Subject ("fagleder"), August 2013 - July 2015 and August 2017 - July 2019
- Member of Academia Europeae and the Norwegian Academy of Science and Letters (both since 2014)
- Editor, Bulletin of Symbolic Logic
- Editorial board of Inquiry, Philosophia Mathematica, SATS: Northern European Journal of Philosophy, Thought
- Executive Committee of Scandinavian Logic Society (08/2012 – )
- Board member of Philosophy of Mathematics Association (07/2015 – 06/2017, 07/2019 –06/2022)
Research projects
- Center for Philosophy and the Sciences (HF "faglige prioriteringer III", 2019 - 2024)
- ConceptLab (NFR Toppforsk, 2016 - 2022)
- Plurals, Predicates and Paradox: Towards a Type-Free Account (ERC Starting Grant, PI, 2010 - 2013)
- Foundations of Structuralism (AHRC, 2010 - 2012)
Publications
- Thin Objects: An Abstractionist Account, Oxford University Press (2018)
- "Actual and Potential Infinity" (with Stewart Shapiro), Noûs (2018)
- Philosophy of Mathematics, Princeton University Press (2017)
- “On the Innocence and Determinacy of Plural Quantification” (with Salvatore Florio), Noûs 53 (2016), 65-83
- “Two Types of Abstraction for Structuralism” (with Richard Pettigrew), Philosophical Quarterly 64 (2014), 267-83
- “What is the Infinite?” The Philosophers' Magazine 2nd quarter (2013), 42-47
- “The Potential Hierarchy of Sets”, Review of Symbolic Logic 6:2 (2013), 205-28
- “Hierarchies Ontological and Ideological” (with Agustín Rayo), Mind 121 (2012): 269-308
- “Pluralities and Sets,” Journal of Philosophy 107:3 (2010), 144-164
- “Platonism in the Philosophy of Mathematics,” in Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy (2009)
- “Superplurals in English” (with David Nicolas), Analysis 68:3 (2008), 186-97
- “Structuralism and the Notion of Dependence,” Philosophical Quarterly 58 (2008), 59-79
- “Epistemological Challenges to Mathematical Platonism,” Philosophical Studies 129:3 (2006), 545-574
- “Plural Quantification,” in Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy (2004)
- “Plural Quantification Exposed,” Noûs 37:1 (2003), 71-92
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Linnebo, Øystein (2022). Aristotelian Aspirations, Fregean Fears: Hossack on Numbers as Magnitudes. In Kürbis, Nils; Assadian, Bahram & Nassim, Jonathan (Ed.), Knowledge, Number and Reality: Encounters with the Work of Keith Hossack. Bloomsbury Academic. ISSN 9781350186439. p. 189–201. Full text in Research Archive
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Hartimo, Mirja; Kjosavik, Frode & Linnebo, Øystein (2022). Introduction to Special Issue on ‘Critical Views of Logic’. Inquiry (Oslo). ISSN 0020-174X. doi: 10.1080/0020174X.2019.1651077. Show summary
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Linnebo, Øystein & Shapiro, Stewart (2021). Modality in Mathematics. In Bueno, Otávio & Shalkowski, Scott A. (Ed.), The Routledge Handbook of Modality. Routledge. ISSN 9781138823310. p. 281–291. Full text in Research Archive
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Linnebo, Øystein (2020). Riemann’s Scale: A Puzzle About Infinity. Erkenntnis: An International Journal of Scientific Philosophy. ISSN 0165-0106. doi: 10.1007/s10670-020-00345-x.
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Linnebo, Øystein & Shapiro, Stewart (2020). Potentiality and Indeterminacy in Mathematics. Journal of Applied Logics: The IfCoLog Journal of Logics and their Applications. ISSN 2055-3706. 7(7), p. 1201–1221. Full text in Research Archive
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Linnebo, Øystein & Hale, Bob (2020). Ontological Categories and the Problem of Expressibility. In Hale, Bob (Eds.), Essence and existence: Selected Essays. Oxford University Press. ISSN 9780198712084. p. 73–103. Full text in Research Archive
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Linnebo, Øystein (2020). Peacocke on numbers and magnitudes. Philosophical Studies. ISSN 0031-8116. 178, p. 2717–2729. doi: 10.1007/s11098-020-01542-8. Full text in Research Archive
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Linnebo, Øystein & Florio, Salvatore (2020). Critical Plural Logic. Philosophia Mathematica. ISSN 0031-8019. 28(2), p. 172–203. doi: 10.1093/philmat/nkaa020. Full text in Research Archive
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Hamkins, Joel David & Linnebo, Øystein (2019). THE MODAL LOGIC of SET-THEORETIC POTENTIALISM and the POTENTIALIST MAXIMALITY PRINCIPLES. The Review of Symbolic Logic. ISSN 1755-0203. doi: 10.1017/S1755020318000242. Full text in Research Archive
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Linnebo, Øystein & Shapiro, Stewart (2019). Realizability as a Kind of Truthmaking. In Szatkowski, Miroslaw (Eds.), Quo Vadis, Metaphysics . Walter de Gruyter (De Gruyter). ISSN 3110662493. Full text in Research Archive
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Linnebo, Øystein (2019). The Context Principle in Frege’s Grundgesetze. In Ebert, Philip & Rossberg, Marcus (Ed.), Essays on Frege's Basic Laws of Arithmetic. Oxford University Press. ISSN 9780198712084. doi: 10.1093/oso/9780198712084.003.0004. Full text in Research Archive
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Linnebo, Øystein & Shapiro, Stewart (2019). Actual and potential infinity. Noûs. ISSN 0029-4624. 53(1), p. 160–191. doi: 10.1111/nous.12208. Full text in Research Archive
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Linnebo, Øystein (2018). Putnam on Mathematics as Modal Logic. In Cook, Roy & Hellman, Geoffrey (Ed.), Hilary Putnam on Logic and Mathematics. Springer. ISSN 978-3-319-96274-0. p. 249–267. doi: 10.1007/978-3-319-96274-0_14.
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Linnebo, Øystein (2018). Rumfitt on the logic of set theory. Inquiry (Oslo). ISSN 0020-174X. 62(7), p. 826–841. doi: 10.1080/0020174X.2018.1530832. Full text in Research Archive
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Linnebo, Øystein (2018). On the Permissibility of Impredicative Comprehension. In Leech, Jessica (Eds.), Being Necessary Themes of Ontology and Modality from the Work of Bob Hale. Oxford University Press. ISSN 9780198792161. p. 170–189. doi: 10.1093/oso/9780198792161.003.0009. Full text in Research Archive
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Linnebo, Øystein (2018). Truth in Mathematics. In Glanzberg, Michael (Eds.), Oxford Companion to Truth. Oxford University Press. ISSN 9780199557929. p. 648–665. doi: 10.1093/oxfordhb/9780199557929.013.24. Full text in Research Archive
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Linnebo, Øystein (2018). DUMMETT ON INDEFINITE EXTENSIBILITY. Philosophical Issues. ISSN 1533-6077. 28(1), p. 196–220. doi: 10.1111/phis.12122. Full text in Research Archive
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Cook, Roy & Linnebo, Øystein (2018). Cardinality and Acceptable Abstraction. Notre Dame Journal of Formal Logic. ISSN 0029-4527. 59(1), p. 61–74. doi: 10.1215/00294527-2017-0012. Full text in Research Archive
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Linnebo, Øystein & Florio, Salvatore (2017). Logic and Plurals. In Ludwig, Kirk (Eds.), The Routledge Handbook of Collective Intentionality. Routledge. ISSN 9781138783638. p. 451–463. Full text in Research Archive
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Linnebo, Øystein (2016). Impredicativity in the Neo-Fregean Program. In Philip, Ebert & Rossberg, Marcus (Ed.), Abstractionism: Essays in the Philosophy of Mathematics. Oxford University Press. ISSN 9780199645268. p. 247–268. doi: 10.1093/acprof%3Aoso/9780199645268.003.0012.
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Linnebo, Øystein (2016). How to Harness Basic Law V. In Carrara, Massimiliano; Arapinis, Alexandra & Moltmann, Friederike (Ed.), Unity and Plurality: Logic, Philosophy, and Linguistics. Oxford University Press. ISSN 9780198716327. p. 19–32. doi: 10.1093/acprof%3Aoso/9780198716327.003.0002.
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Linnebo, Øystein & Florio, Salvatore (2016). On the Innocence and Determinacy of Plural Quantification. Noûs. ISSN 0029-4624. 50(3), p. 565–583. doi: 10.1111/nous.12091.
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Linnebo, Øystein (2016). Plurals and Modals. Canadian Journal of Philosophy. ISSN 0045-5091. 46(4-5), p. 654–676. doi: 10.1080/00455091.2015.1132975.
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Linnebo, Øystein; Shapiro, Stewart & Hellman, Geoffrey (2016). Aristotelian Continua. Philosophia Mathematica. ISSN 0031-8019. 24(2), p. 214–246. doi: 10.1093/philmat/nkv024.
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Horsten, Leon & Linnebo, Øystein (2015). Term Models for Abstraction Principles. Journal of Philosophical Logic. ISSN 0022-3611. p. 1–23. doi: 10.1007/s10992-015-9344-z.
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Linnebo, Øystein; Florio, Salvatore; Welch, Philip & Walsh, Sean (2015). Set Theory and Higher-Order Logic: Foundational Issues and Philosophical Developments. Notre Dame Journal of Formal Logic. ISSN 0029-4527. 56, p. 1–2.
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Linnebo, Øystein & Shapiro, Stewart (2015). Frege Meets Brouwer (or Heyting, or Dummett). The Review of Symbolic Logic. ISSN 1755-0203. 8(3), p. 540–552. doi: 10.1017/s1755020315000039.
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Shapiro, Stewart & Linnebo, Øystein (2014). Frege Meets Brouwer (or Heyting or Dummett). The Review of Symbolic Logic. ISSN 1755-0203. 8(3), p. 540–552. doi: 10.1017/S1755020315000039.
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Linnebo, Øystein & Rayo, Agustin (2014). Response to Florio and Shapiro. Mind. ISSN 0026-4423. 123, p. 175–181.
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Linnebo, Øystein & Pettigrew, Richard (2014). Two Types of Abstraction for Structuralism. The Philosophical Quarterly. ISSN 0031-8094. 64, p. 267–283. doi: 10.1093/pq/pqt044.
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Linnebo, Øystein (2014). 'Just is'-Statements as Generalized Identities. Inquiry (Oslo). ISSN 0020-174X. 57(4), p. 466–482. doi: 10.1080/0020174X.2014.905037.
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Linnebo, Øystein (2013). Freges oppfatning av logikk: Fra Kant til Grundgesetze. Norsk Filosofisk tidsskrift. ISSN 0029-1943. 48(3-4), p. 219–229.
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Muller, F.A. & Linnebo, Øystein (2013). On Witness-Discernibility of Elementary Particles. Erkenntnis: An International Journal of Scientific Philosophy. ISSN 0165-0106. 78, p. 1133–1142. doi: 10.1007/s10670-012-9385-4.
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Linnebo, Øystein (2013). Føllesdal and Frege on Reference. In Frauchiger, Michael (Eds.), Reference, Rationality, and Phenomenology. Themes from Føllesdal. Ontos Verlag. ISSN 978-3-86838-182-5. p. 259–279. doi: 10.1515/9783110323542.259.
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Ladyman, James; Linnebo, Øystein & Bigaj, Tomasz (2013). Entanglement and non-factorizability. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. ISSN 1355-2198. 44(3), p. 215–221. doi: 10.1016/j.shpsb.2013.02.004.
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Linnebo, Øystein (2013). THE POTENTIAL HIERARCHY OF SETS. The Review of Symbolic Logic. ISSN 1755-0203. 6(2), p. 205–228. doi: 10.1017/S1755020313000014.
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Linnebo, Øystein (2012). Hierarchies Ontological and Ideological. Mind. ISSN 0026-4423. 121, p. 269–308. doi: 10.1093/mind/fzs050.
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Linnebo, Øystein (2005). To Be Is to Be an F. Dialectica. ISSN 0012-2017. 59.
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Linnebo, Øystein (2005). Epistemological challenges to mathematical platonism. Philosophical Studies. ISSN 0031-8116.
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Linnebo, Øystein (2004). Frege's Proof of Referentiality. Notre Dame Journal of Formal Logic. ISSN 0029-4527. 45(2), p. 73–98. Show summary
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Linnebo, Øystein (2004). Predicative fragments of Frege Arithmetic. Bulletin of Symbolic Logic. ISSN 1079-8986. 10, p. 153–174. Show summary
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Linnebo, Øystein (2003). Plural Quantification Exposed. Noûs. ISSN 0029-4624. 37(1), p. 71–92. Show summary
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Linnebo, Øystein (2003). Critical Study of Stewart Shapiro, Philosophy of Mathematics: Structure and Ontology. Philosophia Mathematica. ISSN 0031-8019. 11(1), p. 92–104. Show summary
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Linnebo, Øystein (2003). Frege's Conception of Logic: From Kant to Grundgesetze. Manuscrito - Revista Internacional de Filosofia. ISSN 0100-6045. 26(2), p. 235–252. Show summary
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Linnebo, Øystein & Florio, Salvatore (2021). The Many and the One: A Philosophical Study . Oxford University Press. ISBN 9780198791522. 336 p. Full text in Research Archive
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Linnebo, Øystein (2018). Thin Objects: An Abstractionist Account. Oxford University Press. ISBN 9780199641314. 256 p.
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Linnebo, Øystein (2017). Philosophy of Mathematics. Princeton University Press. ISBN 9780691161402. 216 p.
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Linnebo, Øystein (2021). Har bevisstheten en plass i en fysisk verden?
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Linnebo, Øystein & Torgersen, Eivind (2021). Hvilken nytte kan historikere, filosofer og språkforskere ha av algoritmer?
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Linnebo, Øystein (2021). Critical Study of Bob Hale, Essence and Existence: Selected Essays. Philosophia Mathematica. ISSN 0031-8019. 29(3), p. 420–427.
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Linnebo, Øystein (2021). Finnes universets begynnelse? [Internet]. https://www.uio.no/om/aktuelt/universitetsplassen/nyheter/20.
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Linnebo, Øystein (2021). Tiden som filosofisk problem.
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Linnebo, Øystein (2020). Review of John Bell, The Continuous, the Discrete. American Mathematical Society Mathematical Reviews. ISSN 2167-5163.
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Linnebo, Øystein & Bøhn, Einar Duenger (2020). Interview with Dagfinn Føllesdal. Norsk Filosofisk tidsskrift. ISSN 0029-1943. 55(1), p. 46–79.
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Linnebo, Øystein (2020). The Paradox of the Largest Number: From Aristotle to Cantor. In Kjosavik, Frode & Serck-Hanssen, Camilla (Ed.), Metametaphysics and the Sciences. Historical and Philosophical Perspectives. Routledge. ISSN 978-0-367-26369-0.
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Linnebo, Øystein (2019). DORA-erklæringen og vår vurdering av forskningskvalitet. Khrono.no. ISSN 1894-8995.
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Maliks, Reidar; Linnebo, Øystein & Strand, Arne (2017). Den viktige uenigheten. Klassekampen. ISSN 0805-3839.
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Linnebo, Øystein (2017). Bokmelding: Frege – Utvalgte Tekster. Norsk Filosofisk tidsskrift. ISSN 0029-1943. 52(4), p. 187–192.
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Linnebo, Øystein (2016). Identity and two conceptions of ontology. Filosofisk supplement. ISSN 0809-8220. p. 44–47.
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Linnebo, Øystein (2013). “What is the Infinite and Is It Real?”. Philosophers' magazine. ISSN 1354-814X. p. 42–47.
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Linnebo, Øystein (2013). Review of Patricia Blanchette, Frege’s Conception of Logic. Notre Dame Philosophical Reviews. ISSN 1538-1617.
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Linnebo, Øystein (2004). Plural Quantification. In Zalta, Ed (Eds.), Stanford Encyclopedia of Philosophy. Stanford Encyclopedia of Philosophy.
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Linnebo, Øystein (2004). Review of Kit Fine, The Limits of Abstraction. Australasian Journal of Philosophy. ISSN 0004-8402. 82(4), p. 653–656.
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Linnebo, Øystein (2004). Reference and Frege's Context Principle.
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Linnebo, Øystein (2004). Kant and Frege on Formal Logic.
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Linnebo, Øystein (2004). Reference and Frege's Context Principle.
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Linnebo, Øystein & Parsons, Charles (2003). Introductory Note to Correspondence with Walter Pitts. In Feferman, Solomon (Eds.), Kurt Gödel: Collected Works, Vol. V. Clarendon. ISSN 0198500750. p. 157–159.
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Linnebo, Øystein (2003). Neo-Logicism and Impredicativity.
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Linnebo, Øystein (2003). Predicative Fragments of Frege Arithmetic.
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Linnebo, Øystein (2003). Mathematical Structuralism.
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Linnebo, Øystein (2002). Naturalistic Challenges: On the Possibility of Non-Scientific Knowledge. Show summary