Øystein Linnebo

Professeur

Philosophy of Mathematics Philosophical Logic Mathematical Logic Metaphysics Frege

CV

Department of Philosophy

IFIKK, University of Oslo

Postboks 1020 Blindern

0315 Oslo, Norway

oystein.linnebo@ifikk.uio.no

http://oysteinlinnebo.org

+47 46 66 00 36 (mobile)

APPOINTMENTS

Professor of Philosophy, University of Oslo, August 2012 –

Professorial Fellow, Northern Institute of Philosophy, University of Aberdeen, July 2013 – January 2015

Professor of Philosophy, Birkbeck, University of London, October 2011 – December 2013

Lecturer in Philosophy, Birkbeck, University of London, January 2010 – September 2011

Reader in Philosophy, University of Bristol, August 2008 – January 2010

Lecturer in Philosophy, University of Bristol, January 2006 – July 2008

Fitzjames Research Fellow, Merton College, Oxford, October 2004 – December 2005

Post-Doctoral Fellow, University of Oslo, August 2002 – September 2004

VISITING POSTS

Christensen Fellow, St Catherine’s College, Oxford, January – March 2022

Visiting Fellow, All Souls College, Oxford, January – July 2017

Researcher, Center for Advanced Study at the Norwegian Academy of Science and Letters, August 2015 – July 2016

Visiting Lecturer, Technische Universität Berlin, 15 May – 15 June 2011

Visiting Lecturer, University of Buenos Aires, April 2008

Visiting Fellow, Institute of Philosophy, University of London, September 2007 – January 2008

Visiting Scholar, UC Berkeley, April 2003

EDUCATION

Harvard University, Ph.D. in Philosophy, September 1996 – June 2002

Ph.D. Thesis: Science with Numbers: A Naturalistic Defense of Mathematical Platonism

Awarded Baker Dissertation Prize

University of Oslo, Norway, M.A. in Mathematics, August 1993 – June 1995

M.A. Thesis: The Number of Genus 2 Degree 5 Curves on Some Calabi-Yau Threefold

Marked outstanding (1.1 on a scale from 1.0 to 6.0)

University of Bergen, Norway, B.A. in Mathematics, August 1991 – June 1993

AREAS OF SPECIALIZATION

Philosophy of Mathematics

Philosophical Logic

Mathematical Logic

Metaphysics

Frege

AREAS OF COMPETENCE

Philosophy of Language

Philosophy of Science

Philosophy of Mind

HONORS AND AWARDS

Nansen Research Prize, 2022 (NOK 300K = ca. EUR 30K)

Member of The Royal Norwegian Society of Science and Letters, 2017–

Member of Academia Europeae, 2014–

Member of The Norwegian Academy of Science and Letters, 2014–

Sisters Dal Research Prize, 2013. (NOK 170,000)

Philosophy Teacher of the Year, 2013. Awarded by the Oslo Philosophy Students’ Association

Baker Dissertation Prize, Harvard University, 2002 (USD 1,500)

Certificate of Distinction in Teaching, Harvard University, 2000 and 2002. (These awards are given to teachers who receive an average of 4.5 or higher out of 5 in the category “Was an effective teacher overall.”)

RESEARCH GRANTS

European Rearch Council, Advanced Grant, 2023-2027. PI. Project title: “Construction in the Formal Sciences”. (EUR 2,023,956). Grant 101054836

Research Council of Norway, 2021-2024. PI. Project title: “Infinity and Intensionality: Towards a New Synthesis”. (NOK 10.8M). Grant 314435

“Toppforsk” grant from the Research Council of Norway, 2016-2021. Joint with Herman Cappelen & Camilla Serck-Hanssen. Project title: “Conceptual Engineering” (NOK 23.2M)

Le Centre franco-norvégien en sciences sociales et humaines, 2014. PI. (NOK 12,500 to bring Dr David Nicolas to Oslo as a guest researcher)

ESF (New Frontiers of Infinity), 2010. PI. Project title: “Set theory and higher-order logic:

foundations and mathematical developments” (EUR 5,000)

European Research Council Starting Grant, 2009-2013. PI. Project title: “Plurals, Predicates, and Paradox: Towards a Type-Free Account” (EUR 940,862). Grant 241098–PPP.

AHRC Research Grant, 2009-2012. Co-investigator (PI: James Ladyman). Project title: “Foundations of Structuralism” (GBP 290,143)

British Academy Visiting Fellowship, 2009. PI. Project title: “Hypostasis, plurals, modality, set theory” (GBP 4,470 to bring Dr Rafal Urbaniak to Bristol as a post-doc)

British Academy Small Research Grant. 2008. PI. Project title: “New Waves in Philosophy of Mathematics” (GBP 4,630)

British Academy Visiting Fellowship, 2008. PI. Project title: “Meta-theory of the Logical System for Arithmetic Predicative Grundgesetze” (GBP 6,164 to bring Dr Francesca Boccuni to Bristol as a post-doc)

AHRC Research Leave, 2007. PI. Project title: “Reference and Frege’s Context Principle” (GBP 25,421). Grant AH/E003753/1.

Mind Association Research Fellowship, 2006. PI. Project title: “Reference and Frege’s Context Principle” (GBP 12,000)

Doctoral Fellowship, The Norwegian Research Council, 1999-2002 (ca. GBP 60,000)

Summer Grant, Harvard University, 1999

Nansen Research Grant, The Nansen Fund, 1997 (GBP 5,200)

Fulbright Fellowship, 1996 (ca. GBP 10,000)

TEACHING AT SUMMER SCHOOLS

European Summer School on the Philosophy of Mathematics, Konstanz, Germany, 5-9/9/2022. The Ontology of Mathematics.

Northern Institute of Philosophy, Aberdeen, UK, 25/6-2/7/2014. Indefinite extensibility

Nordic Spring School in Logic, Nordfjordeid, Norway, 27-31/05/2013. The problem of absolute generality

ESSLLI, Plurals in Semantics and Philosophical Logic, Opole, Poland, 6-10/08/2012 (with Salvatore Florio)

Summer school on Formal Methods in Philosophy, Lund, Sweden, 15-26/08/2005 (with Bengt Hansson, Vincent Hendricks, Erik Olsson, and Gabriel Sandu)

EXTERNAL ACADEMIC RESPONSIBILITIES AND MARKS OF ESTEEM

Executive Committee of Scandinavian Logic Society (08/2012 – )

Board member of Philosophy of Mathematics Association (07/2015 – 06/2017, 07/2019 –06/2022, 07/2022 – 06/2025)

Subject editor for Philosophy of Mathematics, philpapers.org (05/2009 –)

Editor or Area Editor

Bulletin of Symbolic Logic (editor from 2019)
Thought (area editor for Logic from 2020)

Editorial board of

Al-Mukhatabat: Journal For Logic, Epistemology and Analytic Philosophy (from 2011)
Inquiry (Associate Editor from 2012)
Mind, Meaning, Metaphysics (Bloomsbury book series, from 2018)
Nordic Journal of Philosophical Logic (from 1998 until journal discontinued in 2001)
Philosophia Mathematica (from 2012)
Revista Analitíca (from 2007)
SATS. Northern European Journal of Philosophy (from 2014)
Thought (editorial panel from 2012)

Assessor of potentential member of the British Academy

Assessor in connection with promotion to Distinguished University Professorship

Ohio State University

Assessor in connection with promotion to, or hiring of, full professor

MIT, Northwestern University, Oxford University, Trinity College Dublin, University of California Riverside, University of St Andrews, University of Toronto, University of Tromsø

Assessor in connection with promotion to, or hiring of, associate professor (or equivalent)

Columbia, Princeton, Simon Fraser University, University of Cambridge, UC Irvine, University College London, UCLA, University of Athens (twice), University of Kansas, USC, University of Wisconsin-Madison, Yale

Appointment panels

Associate Professorship in Philosophy at the University of Umeå (2019)
Associate Professorship in Philosophy at the University of Agder (2019)
Two Professorships in Philosophy at the University of Oslo (2015)
Professorships in Theoretical Philosophy at the University of Oslo (2014)
Postdoctoral Researcher in Philosophy at the University of Oslo (2014)
Professorships in Theoretical Philosophy at the University of Oslo (2013)
Two-year Postdoctoral Researcher in Philosophy at the University of Oslo (2012)
3.5 three-year Lectureships in Philosophy at Birkbeck, University of London (2010)
2 three-year Postdoctoral Researchers in Philosophy at Birkbeck, University of London (2010)
Professorship in Philosophy at the Norwegian University of Science and Technology, Trondheim, Norway (2009)

Steering Committee of “Applying Homotopy Type Theory in Logic, Metaphysics, and the Philosophy of Physics”, University of Bristol (GBP 177,093. PI: James Ladyman)

Member of Research Networks

“Metaphysical Indeterminacy,” University of Leeds (2010-13; funded by AHRC)
“Foundations of Logical Consequence,” Arché, University of St. Andrews (2009-12; awarded GBP 570,962 of funding from AHRC).

Member of the Philosophy and Law panel, Swedish Research Council (2016 – 2018)

Referee for research councils and prizes

Arts and Humanities Research Council

British Society for the History of Philosophy

Canadian Social Sciences and Humanities Research Council

FWF, Austria

FWO, the Research Foundation—Flanders, Belgium

The Greek Ministery for Education, Life Long Learning, and Religious Affairs

Kurt Gödel Centenary Research Prize Fellowship

Israel Science Foundation

Leverhulme Trust

National Science Centre, Poland

Netherlands Organisation for Scientific Research

Research Council of the University of Leuven

Swiss National Science Foundation

Referee for academic publishers

Blackwell

Bloomsbury

Cambridge University Press

Continuum

Oxford University Press

Palgrave

Routledge

Referee for academic journals

al-mukhatabat, Analysis, Australasian Journal of Philosophy, British Journal for the History of Philosophy, British Journal for the Philosophy of Science, Bulletin of Symbolic Logic, Canadian Journal of Philosophy, Critica, Dialectica, Disputatio, Erkenntnis, European Journal for Philosophy of Science, International Studies in the Philosophy of Science, Internet Encyclopedia of Philosophy, Journal for the History of Analytic Philosophy, Journal of Philosophical Logic, Journal of Semantics, Linguistics and Philosophy, Logic Journal of the IGPL, Logique et Analyse, Manuscrito, Mind, Nordic Journal of Philosophical Logic, Norsk Filosofisk Tidsskrift, Notre Dame Journal of Formal Logic, Noûs, Philosophia, Philosophia Mathematica, Philosophical Papers, Philosophical Quarterly, Philosophical Review, Philosophical Studies, Philosophy and Phenomenological Research, Philosophy Compass, Review of Symbolic Logic, Revista Analítica, Southern Journal of Philosophy, Studia Logica, Studies in the History and Philosophy of Modern Physics, Studies in the History and Philosophy of Science, Synthese, Theoria, and Thought.

Reviewing articles for Zentralblatt der Mathematik (05/2007 – 09/2010)

MAJOR INTERNAL ACADEMIC RESPONSIBILITIES

School Head of Research (1/2021 – 12/2022)
Elected Member of School Governing Body, Oslo (1/2013 – 12/2016; 1/2017 – 12/2020)
Head of Subject and School Head of Research (8/2017 – 7/2019)
Head of Subject and Deputy Head of Department (8/2013 – 7/2015)
Member of School Teaching and Quality Enhancement Committee, Birkbeck (10/2010 – 12/2010)
Member of Graduate Standing Committee, Birkbkeck (10/2010 – 08/2012)
MA Programme Director, Department of Philosophy, Birkbeck (04/2010 – 12/2010)
MA Programme Director, Department of Philosophy, Bristol (08/2008 – 01/2010)
Postgraduate Diploma Coordinator, Department of Philosophy, Bristol (02/2006 – 01/2007)
Head Tutor in Philosophy, Merton College, Oxford (01/01/2005 – 30/06/2005)
Organizer of the Department Colloquium, Department of Philosophy, University of Oslo, (01/2003 – 09/ 2004)
Co-organizer of Annual Skolem Lecture, University of Oslo (2003 – 2004 and 2012 –)

CONFERENCES ORGANIZED

Biannual workshops in connection with Research Council of Norway Grant, 2016-2021; see https://conceptualengineering.info/events/ for a complete list

Special session on the Philosophy of Mathematics, Logic Colloquium, Vienna, July 2014

Biannual workshops in connection with ERC Starting Grant, 2010-2013; see http://www.hf.uio.no/ifikk/english/research/projects/ppp/ for a complete list

5th Semantics and Philosophy in Europe

June 2012, Torino

Higher-Order Logic vs Set Theory

29-30/05/2010, London

The Varieties of Higher-Order Logic

18-19/06/2010, London

Absolute Generality

9-10/07/2009, CNRS, Paris (with David Nicolas) (Budget: ca. 5,000 GBP)

New Waves in Philosophy of Mathematics

24-26/04/2008, University of Miami (with Otávio Bueno) (Budget: ca. 11,500 GBP)

Structuralism in the Philosophies of Mathematics and Physics

2-3/12/2006, University of Bristol (with James Ladyman) (Budget: ca. 2,000 GBP)

The 7th Annual Harvard-MIT Graduate Student Conference in Philosophy

March 1999 (Harvard co-organizer)

SCIENTIFIC OR PROGRAM COMMITTEE

Colloquium Logicum, Konstanz, September 2020

4th Nordic Logic Summer School, Bergen, June 2020

Semantics and Philosophy in Europe 11, Warsaw, September 2019

Semantics and Philosophy in Europe 10, Barcelona, December 2018

PhDs in Logic VIII, Darmstadt, May 2016

European Summer Meeting of the Association for Symbolic Logic, Helsinki, August 2015

9th Scandinavian Logic Symposium, Tampere, Finland, August 2014

The Road Less Travelled – Off-stream applications of formal methods, Ghent, July 2014

ESSLLI, Student sessions, Düsseldorf, Germany, August 2013

8th Scandinavian Logic Symposium, Roskilde, August 2012

ESSLLI, Student sessions, Opole, Poland, August 2012

Semantics and Philosophy in Europe 5, Torino, June 2012

7th Barcelona Workshop on Issues in the Theory of Reference: Paradoxes of Truth and Denotation, June 2011

PHD AND MPHILSTUD EXAMINATIONS

Marco Grossi, Oxford, May 2022, DPhil. Supervisor: Volker Halbach
Luca Zanetti, IUSS Pavia, January 2019. PhD. Supervisor: Andrea Sereni
Berta Grimau, Glasgow, August 2018. PhD. Supervisor: Adam Rieger
Beau Mount, Oxford, January 2018. DPhil. Supervisors: Volker Halbach and Timothy Williamson
Laura Crosilla, Leeds. February 2017. PhD. Supervisor Robbie Williams
Michele Lubrano, Torino, October 2016. PhD. Supervisor: Diego Marconi
Stefan Buijsman, Stockholm, April 2016. PhD. Supervisors: Peter Pagin and Dag Westerståhl
Jeremy Goodman, Oxford, January 2016. DPhil. Supervisor: Timothy Williamson
Bahram Assadian, Birkbeck, University of London, January 2016. PhD. Supervisor: Keith Hossack
Benedict Eastaugh, University of Bristol, July 2015. PhD. Supervisor: Professor Leon Horsten
Gonçalo Baptista dos Santos, University of Barcelona, November 2012. PhD. Dissertation title: Reconstructing Generality Relativism. Supervisor: Dr José Martínez Fernández
Neil Barton, University College London, November 2012. MPhilStud. Dissertation title: Proper Classes. Supervisor: Professor Marcus Giaquinto
James Studd, Oxford University, March 2012. DPhil. Dissertation title: Absolute and Relative Generality. Supervisor: Dr Gabriel Uzqiuano
Damián Bravo Zamora, Trinity College Dublin, March 2012. PhD. Dissertation title: Kant, Cantor, and the Unconditioned. Supervisor: Dr Lilian Alweiss
Daniel Pointon, King’s College London, January 2012. PhD. Dissertation title: Towards a Mapping Account of Applicability. Supervisor: Professor David Papineu
Tom Eckersley-Waites, University College, London, September 2011. MPhilStud. Dissertation title: Neo-Logicism and A Priori Arithmetic. Supervisor: Professor Marcus Giaquinto
Steffan Angere, Lund University, November 2010. PhD. Dissertation title: Theory and Reality. Supervisor: Professor Bengt Hansson.
Kate Manion, King’s College London, November 2010. MPhilStud. Dissertation title: Identity and Change. Supervisor: Dr Chris Hughes.

POSTDOCTORAL SUPERVISION

Paul Kindvall Gorbow (5/2021 – 4/2023), University of Oslo (Swedish Research Council)
Laura Crosilla (7/2019 – 6/2024), University of Oslo (MSCA Fellow and Research Council of Norway)
Sam Roberts, (1/2017 – 12/2019), University of Oslo (Research Council of Norway)
Jon Litland (8/2012-8/2014), University of Oslo (ERC funding)
Salvatore Florio (10/2010 –8/2013 ), Birkbeck, University of London and University of Oslo (ERC)
Sean Walsh (10/2010 – 6/2012), Birkbeck, University of London (ERC)

POSTGRADUATE SUPERVISION

PhD supervision while at the University of Oslo

Jacopo Berneri (primary supervisor, 8/2022 – )
Julie Lauvsland (primary supervisor, 8/2022 –)
Joost Vecht (primary supervisor, 1/2016 – 12/2018)
Tobias Alexius (co-supervisor for his PhD at Uppsala University, ongoing)
Giorgio Sbardolini (co-supervisor for his PhD at Ohio State University, 8/2017 – 3/2019)

Co-supervisor, Northern Institute of Philosophy, University of Aberdeen

Casper Storm Hansen (10/2011 – 9/2014)

Primary supervisor for PhD students at Birkbeck

Bahram Assadian (10/2011 – 09/2012)
Jönne Kriener (né Speck) (10/2010 – 7/2014)
Sam Roberts (10/2010 – 9/2014)
Peter Gibson (10/2011 – 09/2012)
Simon Hewitt (autumn term, 2010)
Frederik Willemarck (autumn term, 2010)

Co-supervisor for three PhD students from the University of Bristol:

Richard Craven (metaphysics of modality) (10/2010 – 04/2012)
Mark Pinder (philosophy of language) (10/2009 – 11/2013)
Chris Gifford (structuralism and the metaphysics of objects) (10/2008 –09/2012)

Visiting PhD students and post-docs who have come specifically to work with me:

Chris Scambler, NYU (7-8/2019)
Luca Zanetti, IUSS Pavia (5-6/2018 and 1-2/2019)
Giorgio Sbardolini, Ohio State University (autumn 2017)
Filippo Costantini, University of Venice (autumn 2016)
Tolgahan Toy, Middle East Technical University (autumn 2016)
Michele Lubrano, University of Torino (spring 2014)
Giulia Terzian, University of Bristol, post-doc (autumn 2012)
Jonathan Payne, University of Sheffield (terms 2 and 3, 2010/11)
Goncalo Santos, University of Barcelona (term 2, 2010/11)
Rafal Urbaniak, Universities of Gdansk and Ghent, post-doc (1/10/2009 – 15/12/2009)
Francesca Boccuni, University of Eastern Piedmont, Italy, post-doc, (15/09/2008 – 15/01/2009, autumn 2012)
Walter Swetly, LMU Munich (spring semester 2008)

MPhil thesis supervision, the University of Oslo (with year of completion in parenthesis):

Michel de Greve (ongoing), Isabella Bartoli (2022), Ane Maria Døhl (2022), Jo Malchus (2022), Sverre Magnus Nedberg (2021), Sander Wilhelm Gjerdrem Lie (2020), Julie Lauvsland (2020), Hans Robin Solberg (2018), Inger Bakken Pedersen (2018), Jan-Tore Time (2017), Jørn Kløvfjell Mjelva (2017), Carl Korsnes (2016), Solveig Nygaard Selseth (2016), Tobias Alexius

Bibliography

BOOKS

The Many and the One: A Philosophical Study (with Salvatore Florio) (Oxford University Press, 2021)

Thin Objects: An Abstractionist Account (Oxford University Press, 2018)

Philosophy of Mathematics (Princeton University Press, 2017)

[Translated into Farsi by Mohammad Hussein Veghaar (Ettelaat Press, 2019)]

[Publication of translation into Greek under contract with Utopia Press]

ARTICLES IN REFEREED JOURNALS

J43. “Riemann’s Scale: A Puzzle about Infinity”, forthcoming in Erkenntnis, DOI: 10.1007/s10670-020-00345-x

J42. “Generality Explained”, Journal of Philosophy 119:7 (2022), 349-379

J41. “Divergent Potentialism: A Modal Analysis with an Application to Choice Sequences” (with Ethan Brauer and Stewart Shapiro), Philosophia Mathematica 30:2 (2022), 143-172

J40. “Predicativism as a Form of Potentialism” (with Stewart Shapiro), forthcoming in Review of Symbolic Logic

J39. “The Modal Logic of Set-Theoretic Potentialism and the Potentialist Maximality Principles” (with Joel Hamkins), Review of Symbolic Logic 15:1 (2022), 1-35

J38. “Peacocke on Magnitudes and Numbers”, Philosophical Studies 178 (2021), 2717-2729

J37. “Potentiality and Indeterminacy in Mathematics” (with Stewart Shapiro), Journal of Applied Logics - IfCoLog Journal of Logics and their Applications 7:6 (2020), 1199-1219

[Reprinted in Melvin Fitting et al. (eds.), Selected topics from contemporary logics, Landscapes in logic 2 (London, College Publications), (2021), 635-654]

J36. “Critical Plural Logic” (with Salvatore Florio), Philosophia Mathematica 28:2 (2020), 172-203

J35. “Rumfitt on the Logic of Set Theory”, Inquiry 62:7 (2019), 826-41

J34. “Actual and Potential Infinity” (with Stewart Shapiro), Noûs 53:1 (2019), 160-191

[Selected as one of the 10 best articles in philosophy in 2019 by the Philosophers’ Annual]

J33. “Dummett on Indefinite Extensibility”, Philosophical Issues 28 (2018), 196-220

J32. “Cardinality and Acceptable Abstraction” (with Roy Cook), Notre Dame Journal of Formal Logic 59:1 (2018), 61-74

J31. “Plurals and Modals”, Canadian Journal of Philosophy 46 (2016), 654-76

[Reprinted in Juhani Yli-Vakkuri and Mark McCullagh (eds.), Williamson on Modality (Routledge, 2017)]

J30. “On the Innocence and Determinacy of Plural Quantification” (with Salvatore Florio), Noûs 50 (2016): 565-83

J29. “Aristotelian Continua” (with Geoffrey Hellman and Stewart Shapiro), Philosophia Mathematica 24 (2016), 214-46

[Included in Hellman and Shapiro, Varieties of Continua (Oxford University Press, 2018)]

J28. “Term Models for Abstraction Principles” (with Leon Horsten), Journal of Philosophical Logic 45:1 (2016), 1-23.

J27. “Frege Meets Brouwer (or Heyting, or Dummett)” (with Stewart Shapiro), Review of Symbolic Logic 8:3 (2015), 540-52

J26. “Response to Florio and Shapiro” (with Agustín Rayo), Mind 123 (2014), 175-181

J25. “Rayo on ‘Just Is’-Statements”, Inquiry 57:4 (2014), 466-482

J24. “Two Types of Abstraction for Structuralism” (with Richard Pettigrew), Philosophical Quarterly 64 (2014), 267-83

J23. “On Witness Discernibility of Elementary Particles” (with Fred Muller), Erkenntnis 78 (2013), 1133-42

J22. “Freges Oppfatning av Logikk: Fra Kant til Grundgesetze”, Norsk Filosofisk Tidsskrift 48:3-4 (2013), 219-229

J21. “Entanglement and Non-Factorizability” (with Tomasz Bigaj and James Ladyman), Studies in History and Philosophy of Modern Physics 44 (2013), 215-221

J20. “The Potential Hierarchy of Sets”, Review of Symbolic Logic 6:2 (2013), 205-28

J19. “Hierarchies Ontological and Ideological” (with Agustín Rayo), Mind 121 (2012): 269-308

J18. “Reference by Abstraction”, Proceedings of the Aristotelian Society 112:1 (2012), 45-71

J17. “Identity and Discernibility in Philosophy and Logic” (with James Ladyman and Richard Pettigrew), Review of Symbolic Logic 5:1 (2012), 162-86

J16. “Metaontological Minimalism”, Philosophy Compass 7:2 (2012), 139-51

J15. “Category Theory as an Autonomous Foundation” (with Richard Pettigrew), Philosophia Mathematica 19:3 (2011), 227-254

[Reprinted in Alexander Paseau (ed.), Philosophy of Mathematics (Routledge, 2017)]

J14. “Some Criteria for Acceptable Abstraction”, Notre Dame Journal of Formal Logic 52:3 (2011), 331-338

J13. “Pluralities and Sets,” Journal of Philosophy 107:3 (2010), 144-164

J12. “Which Abstraction Principles Are Acceptable? Some Limitative Results” (with Gabriel Uzquiano), British Journal for the Philosophy of Science 60:2 (2009), 239-253

J11. “Introduction to the Bad Company Problem,” Synthese 170:3 (2009), 321-329

J10. “Bad Company Tamed,” Synthese 170:3 (2009), 371-391

J9. “Superplurals in English” (with David Nicolas), Analysis 68:3 (2008), 186-97

J8. “Structuralism and the Notion of Dependence,” Philosophical Quarterly 58 (2008), 59-79

J7. “Burgess on Plural Logic and Set Theory,” Philosophia Mathematica 15:1 (2007), 79-93

J6. “Epistemological Challenges to Mathematical Platonism,” Philosophical Studies 129:3 (2006), 545-574

[Translated to Spanish as “Retos epistemológicos al platonismo matemático,” Revista Analitíca No 2 (2008), 51-82]

J5. “To Be Is to Be an F,” Dialectica 59:2 (2005), 201-222 (special issue on Frege’s “Caesar Problem”)

J4. “Frege’s Proof of Referentiality,” Notre Dame Journal of Formal Logic 45:2 (2004), 73-98

J3. “Predicative Fragments of Frege Arithmetic,” Bulletin of Symbolic Logic 10:2 (2004), 153-174

J2. “Plural Quantification Exposed,” Noûs 37:1 (2003), 71-92

J1. “Frege’s Conception of Logic: From Kant to Grundgesetze,” Manuscrito 26:2 (2003), 235-252 (special issue on Frege edited by Marco Ruffino)

ARTICLES IN VOLUMES AND ENCYCLOPEDIAS

A25. “Maddy on Classes”, forthcoming in a volume on the work of Penelope Maddy, ed. Juliette Kennedy (Springer)

A24. “Aristotelian Aspirations, Fregean Fears: Hossack on Numbers as Magnitudes”, in Nils Kürbis, Bahram Assadian, and Jonathan Nassim (eds.), Knowledge, Number and Reality: Encounters with the Work of Keith Hossack (Bloomsbury, 2022), 189-201

A23. “Modality in Mathematics” (with Stewart Shapiro), in Otávio Bueno and Scott A. Shalkowski (eds.), The Routledge Handbook of Modality (Routledge, 2021), 281-291

A22. “Ontological Categories and the Problem of Expressibility” (with Bob Hale), in Essence and Existence: Selected Essays, by Bob Hale, ed. Jessica Leech (Oxford University Press, 2020), 73-103

A21. “The Paradox of the Largest Number: From Aristotle to Cantor”, in Frode Kjosavik and Camilla Serck-Hanssen (eds.), Metaphysics and the Sciences: Historial and Philosophical Perspectives (Routledge, 2020), 236-253

A20. “Realizability as a Kind of Truthmaking” (with Stewart Shapiro), in Mirosław Szatkowski (ed.), Quo Vadis, Metaphysics (De Gruyter, 2019), 351-63

A19. “The Context Principle in Frege’s Grundgesetze”, in Philip Ebert and Marcus Rossberg (eds.), Essays on Frege’s Basic Laws of Arithmetic (Oxford University Press, 2019), 90-114

A18. “Putnam on Mathematics as Modal Logic”, in Roy Cook and Geoffrey Hellman (eds.), Putnam on Mathematics and Logic (Springer, 2018), 249-267

A17. “On the Permissibility of Impredicative Comprehension”, in Ivette Fred and Jessica Leech (eds.), Being Necessary Themes of Ontology and Modality from the Work of Bob Hale (Oxford University Press, 2018), 170-189

A16. “Truth in Mathematics,” in M. Glanzberg (ed.), Oxford Companion to Truth (Oxford University Press, 2018), 648-665

A15. “Logic and Plurals” (with Salvatore Florio), in Marija Jankovic and Kirk Ludwig (eds.), The Routledge Handbook of Collective Intentionality (Routledge, 2017), 451-463

A14. “Impredicativity in the Neo-Fregean Program,” in P. Ebert and M. Rossberg (eds.), Abstractionism: Essays in the Philosophy of Mathematics (Oxford: Oxford University Press, 2016), 247-268

A13. “How to Harness Basic Law V”, in M. Carrara, A. Arapinis, and F. Moltmann (eds.), Plurality and Unity: Philosophy, Logic, and Semantics (Oxford: Oxford University Press, 2016), 19-32

A12. “Føllesdal and Frege on Reference,” in M. Frauchiger (ed.), Reference, Rationality, and Phenomenology: Themes from Føllesdal (Frankfurt: Ontos Verlag, 2013), 259-79

A11. “Higher-Order Logic,” in L. Horsten and R. Pettigrew (eds.), Continuum Companion to Philosophical Logic (London: Continuum, 2011), 105-127

A10. “Predicativity and Impredicative Definitions”, in James Fieser and Bradley Dowden (eds.), Internet Encyclopedia of Philosophy (2010), URL=

A9. “Platonism in the Philosophy of Mathematics,” in Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy (2009), URL = < http://plato.stanford.edu/entries/platonism-mathematics/>

[Translated into Russian as “Платонизм в философии математики”, in Metaparadigma, 2016]

A8. “Thin Objects,” in A. Hieke and H. Leitgeb (eds.), Reduction and Elimination in Philosophy and the Sciences, (Ontos Verlag, 2009), 227-238

A7. “Philosophy of Mathematics: Old and New” (Introduction) (with Otávio Bueno), in O. Bueno and Ø. Linnebo (eds.), New Waves in Philosophy of Mathematics, Palgrave (2009), 1-9

A6. “The Individuation of the Natural Numbers,” in O. Bueno and Ø. Linnebo (eds.), New Waves in Philosophy of Mathematics, (Palgrave, 2009), 220-238

A5. “Frege’s Context Principle and Reference to the Natural Numbers,” in S. Lindström et al. (eds.), Logicism, Intuitionism, and Formalism: What Has Become of Them? (Springer, 2009), 47-68

A4. “The Nature of Mathematical Objects,” in B. Gold and R. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy (Washington: Mathematical Association of America, 2008), 205-219

A3. “Against Limitation of Size,” in J. Skilters et al. (eds.), Paradox: Logical, Cognitive and Communicative Aspects, Baltic International Yearbook of Cognition, Logic and Communication, Vol. 1 (Riga: University of Latvia Press, 2006), 69-86

A2. “Sets, Properties, and Unrestricted Quantification,” in A. Rayo and G. Uzquiano (eds.), Absolute Generality (Oxford: Clarendon, 2006), 149-178

A1. “Plural Quantification,” in Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy (2004), URL =

CRITICAL NOTICES, REVIEWS, AND SHORTER PIECES

S26. “Introduction to Special Issue on ‘Critical Views of Logic’” (with M. Hartimo and F. Kjosavik), Inquiry 65:6 (2022), 631-637. DOI: 10.1080/0020174X.2019.1651077

S25. Critical Study of Bob Hale, Essence and Existence: Selected Essays, Philosophia Mathematica 29:3 (2021), 420-427

S24. Review of John Bell, The Continuous, the Discrete and the Infinitesimal in Philosophy and

Mathematics, American Mathematical Society Reviews (2020) https://mathscinet.ams.org/mathscinet-getitem?mr=3970259

S23. “Interview with Dagfinn Føllesdal” (with Einar Duenger Böhn), Norsk Filosofisk Tidsskrift 55 (2020: 1), 46-79

S22. “Vertsinstituttet for ex.phil. ved Universitetet i Oslo må få hjelp” (with E. Krefting and F. Trivigno), Khrono (2019: 16 December)

S21. “DORA-erklæringen og vår vurdering av forskningskvalitet”, Khrono (2019: 25 January)

S20. “Ja til moderat plan for åpen tilgang til forskningsresultater” (with coauthors), Aftenposten (2018: 16 November)

S19. “Bokmelding: Frege – Utvalgte Tekster”, Norsk Filosofisk Tidsskrift 52 (2017: 4), 187-192

S18. “Den viktige uenigheten” (with Reidar Maliks and Arne Strand), Klassekampen (2017: 24 October)

S17. “Identity and Two Conceptions of Ontology”, Filosofisk Supplement (2016: 2), 44-47

S16. Interview with Agustín Rayo, Gabriel Uzquiano, and Øystein Linnebo, The Reasoner 9 (2015), 46-9

S15. “Set Theory and Higher-Order Logic: Foundational Issues and Philosophical Developments” (with Salvatore Florio, Sean Walsh, and Philip Welch), Notre Dame Journal of Formal Logic 56 (2015), 1-2

S14. “What is the Infinite?”, Philosophers’ Magazine, 2nd Quarter (2013), 42-47

S13. Review of Patricia Blanchette, Frege’s Conception of Logic, Notre Dame Philosophical Reviews (2013), http://ndpr.nd.edu/news/37030-frege-s-conception-of-logic/

S12. Review of Penelope Maddy, Defending the Axioms, Philosophy 87:339 (2012), 133-7

S11. Review of John P. Burgess, Mathematics, Models, and Modality, Metascience 18:3 (2009), 433-436

S10. Review of Fraser MacBride (ed.), Identity and Modality, Mind 117:467 (2008), 705-708

S9. Discussion of John P. Burgess, Fixing Frege and Bob Hale and Crispin Wright, Reason’s Proper Study, Mathematical Intelligencer 29:4 (2007), 83-86

S8. Review of Kit Fine, Modality and Tense, Philosophical Quarterly 57:227 (2007), 294-7

S7. “Mending the Master” (Critical notice of John P. Burgess, Fixing Frege), Philosophia Mathematica 14:3 (2006), 338-351

S6. Review of Kit Fine, The Limits of Abstraction, Australasian Journal of Philosophy 82:4 (2004), 653-6

S5. Introductory Note to Correspondence with Walter Pitts (with Charles Parsons), in S. Feferman et al. (eds.), Kurt Gödel: Collected Works, Vol. V (Oxford: Clarendon, 2003), 157-59

S4. Critical Notice of Stewart Shapiro: Philosophy of Mathematics: Structure and Ontology, Philosophia Mathematica 11:1 (2003), 92-104

S3. Review of Michael Potter, Reason’s Nearest Kin, Mind 110:439 (2001), 810-13

S2. Synopsis of talk at the 2000 European Meeting of The Association of Symbolic Logic, Bulletin of Symbolic Logic 7 (2001), 131

S1. Review of William Tait (ed.), Early Analytic Philosophy, Philosophical Review 109:1 (2000), 98-101

ARTICLES COMMISSIONED OR UNDER REVIEW

R1. “Uendelighet: Hilberts vaksinekø og sykkeltur til et uendelig fjernt punkt” (with Paul Arne Østvær), under review

R2. “The Philosophy of Mathematics”, forthcoming in M. Rossberg (ed.), The Cambridge Handbook of Analytic Philosophy, Cambridge UP.

R3. “Absolute Generality”, commissioned for The Oxford Handbook of Philosophy of Logic

DISSERTATIONS

Ph.D.: Science with Numbers: A Naturalistic Defense of Mathematical Platonism

Harvard University, June 2002; advised by Professors Goldfarb, Heck, and Parsons

M.A: The Number of Genus 2 Degree 5 Curves on Some Calabi-Yau Threefolds

University of Oslo, June 1995; advised by Professor Ellingsrud

EDITORIAL WORK

Special issue of Inquiry on Critical Views of Logic (co-edited with Mirja Hartimo and Frode Kjosavik), 65:6 (2022)

Special issue of Notre Dame Journal of Formal Logic (co-edited with Salvatore Florio, Sean Walsh, and Philip Welch), 56:1 (2015)

Special issue of Inquiry on Ground and Groundedness, 57:2 (2014)

New Waves in the Philosophy of Mathematics (co-edited with Otávio Bueno), Palgrave Macmillan, 2009 (Contributors: Alan Baker, Otávio Bueno, Mark Colyvan, Roy Cook, Thomas Hofweber, Peter Koellner, Hannes Leitgeb, Mary Leng, Øystein Linnebo, Alexander Paseau, Chris Pincock, Agustín Rayo, and Gabriel Uzquiano)

Special issue of Synthese, 170:3 (2009) (Contributors: Roy Cook, Philip Ebert & Stewart Shapiro, Matti Eklund, Bob Hale & Crispin Wright, John MacFarlane, and Gabriel Uzquiano)

OUTREACH

“Hvilken nytte kan historikere, filosofer og språkforskere ha av algoritmer?”

November 2021. Interview at https://titan.uio.no/informatikk/2021/hvilken-nytte-kan-historikere-filosofer-sprakforskere-ha-av-algoritmer.

“Har bevisstheten en plass i en fysisk verden?” (“Does consciousness have a place in a physical world?”)

November 2021. Filosofiforeningen for videregående skole, nettverksmøte, Oslo

“Demokrati og vår manglende respons på klimakrisen” (“Democracy and our inadequate response to the climate crisis”)

November 2021. Faglig-pedagogisk dag, University of Oslo

“Finnes universets begynnelse” (“Does the Universe Have a Beginning?”)

October 2021. Interview and podcast, https://forskning.no/big-bang-filosofi-fysikk/finnes-det-en-begynnelse-eller-er-universet-uendelig/1920902

“Tiden som filosofisk problem” (“Time as a Philosophical Problem”)

August 2021. Invited popular talk. Philosophy Students’ Assocation, Oslo

“Elon Musks neuralink blir antakelig en gigantisk flopp”

June 2021. Interview at https://www.digi.no/artikler/analyse-elon-musks-neuralink-blir-antakelig-en-gigantisk-flopp-det-er-kanskje-like-greit/510738

“What is Infinity?”

April 2020. Invited popular talk. Philosophy Students’ Assocation, Oslo

February 2002. Invited popular talk. Mathematics Students’ Association, Oslo

“What Is the Infinite?”, 2016, interview at https://www.mentalfloss.com/article/516365/what-infinity

“Hva er filosofi?” (“What is philosophy?”), 2015, video by Gyldendal Publishers for use in Norwegian elementary schools

“Gamle paradokser gir ny innsikt”, 2014, interview at https://www.hf.uio.no/ifikk/forskning/aktuelt/aktuelle-saker/2014/gamle-paradokser-gir-ny-innsikt.html

“Conceptions of the Infinite”

April 2013. Invited popular talk. Dept. Astrophysics, Oslo

November 2012. Invited popular talk. Big Ideas

Events

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DURING ITS GENERAL ASSEMBLY IN DUBLIN ON 5 SEPTEMBER 2023 THE INSTITUT INTERNATIONAL DE PHILOSOPHIE HAS ELECTED SIX NEW MEMBERS Carla BAGNOLI professor, University of Modena (Italie) Laurent JAFFRO professor, University Panthéon-Sorbonne (France) Pauline KLEINGELD , pro...
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DUBLIN 2023

THE 2023 MEETING OF THE INSTITUT INTERNATIONAL DE PHILOSOPHIE WILL TAKE PLACE IN DUBLIN AT UNIVERSITY COLLEGE DUBLIN 4-5 SEPT 2023 AND WILL BE ORGANISED BY PR MARIA BAGHRAMIAN INSTITUT INTERNATIONAL DE PHILOSOPHIE ENTRETIENS DE DUBLIN/ DUBLIN MEETING 2023 4-5 septembre 2023 /...
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new members 2022

During its generalassembly at Bonn le 21 october 2022 The 'InstitutInternational de philosophie has elected two new members : Oystein LINNEBO (Norvège) Stelios VIRVIDAKIS ( Grece)
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PROGRAM BONN MEETING 2022

INSTITUT INTERNATIONAL DE PHILOSOPHIE ENTRETIENS DE BONN / BONN MEETING 20-22 octobre 2021/ 20-22 October 2022 Monism and Pluralism Monisme et pluralisme PROGRAM VENUE : Bonner Universitätsforum, Heussallee 18...
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Simo Knuuttila - In Memoriam

We just learnt the unexpected death of Simo Knuuttila, with deep sadness. He was professor of Theological Ethics and the Philosophy of Religion at the University of Helsinki, 2008-2013 Head of the Finnish Centre of Excellence in Philosophical Psychology, Morality, and Politics in the Department...
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