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
Editorial board of
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Al-Mukhatabat: Journal For Logic, Epistemology and Analytic Philosophy (from 2011)
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Inquiry (Associate Editor from 2012)
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Mind, Meaning, Metaphysics (Bloomsbury book series, from 2018)
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Nordic Journal of Philosophical Logic (from 1998 until journal discontinued in 2001)
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Philosophia Mathematica (from 2012)
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Revista Analitíca (from 2007)
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SATS. Northern European Journal of Philosophy (from 2014)
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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
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Associate Professorship in Philosophy at the University of Umeå (2019)
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Associate Professorship in Philosophy at the University of Agder (2019)
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Two Professorships in Philosophy at the University of Oslo (2015)
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Professorships in Theoretical Philosophy at the University of Oslo (2014)
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Postdoctoral Researcher in Philosophy at the University of Oslo (2014)
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Professorships in Theoretical Philosophy at the University of Oslo (2013)
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Two-year Postdoctoral Researcher in Philosophy at the University of Oslo (2012)
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3.5 three-year Lectureships in Philosophy at Birkbeck, University of London (2010)
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2 three-year Postdoctoral Researchers in Philosophy at Birkbeck, University of London (2010)
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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
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“Metaphysical Indeterminacy,” University of Leeds (2010-13; funded by AHRC)
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“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
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School Head of Research (1/2021 – 12/2022)
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Elected Member of School Governing Body, Oslo (1/2013 – 12/2016; 1/2017 – 12/2020)
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Head of Subject and School Head of Research (8/2017 – 7/2019)
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Head of Subject and Deputy Head of Department (8/2013 – 7/2015)
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Member of School Teaching and Quality Enhancement Committee, Birkbeck (10/2010 – 12/2010)
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Member of Graduate Standing Committee, Birkbkeck (10/2010 – 08/2012)
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MA Programme Director, Department of Philosophy, Birkbeck (04/2010 – 12/2010)
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MA Programme Director, Department of Philosophy, Bristol (08/2008 – 01/2010)
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Postgraduate Diploma Coordinator, Department of Philosophy, Bristol (02/2006 – 01/2007)
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Head Tutor in Philosophy, Merton College, Oxford (01/01/2005 – 30/06/2005)
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Organizer of the Department Colloquium, Department of Philosophy, University of Oslo, (01/2003 – 09/ 2004)
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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
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Marco Grossi, Oxford, May 2022, DPhil. Supervisor: Volker Halbach
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Luca Zanetti, IUSS Pavia, January 2019. PhD. Supervisor: Andrea Sereni
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Berta Grimau, Glasgow, August 2018. PhD. Supervisor: Adam Rieger
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Beau Mount, Oxford, January 2018. DPhil. Supervisors: Volker Halbach and Timothy Williamson
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Laura Crosilla, Leeds. February 2017. PhD. Supervisor Robbie Williams
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Michele Lubrano, Torino, October 2016. PhD. Supervisor: Diego Marconi
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Stefan Buijsman, Stockholm, April 2016. PhD. Supervisors: Peter Pagin and Dag Westerståhl
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Jeremy Goodman, Oxford, January 2016. DPhil. Supervisor: Timothy Williamson
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Bahram Assadian, Birkbeck, University of London, January 2016. PhD. Supervisor: Keith Hossack
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Benedict Eastaugh, University of Bristol, July 2015. PhD. Supervisor: Professor Leon Horsten
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Gonçalo Baptista dos Santos, University of Barcelona, November 2012. PhD. Dissertation title: Reconstructing Generality Relativism. Supervisor: Dr José Martínez Fernández
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Neil Barton, University College London, November 2012. MPhilStud. Dissertation title: Proper Classes. Supervisor: Professor Marcus Giaquinto
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James Studd, Oxford University, March 2012. DPhil. Dissertation title: Absolute and Relative Generality. Supervisor: Dr Gabriel Uzqiuano
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Damián Bravo Zamora, Trinity College Dublin, March 2012. PhD. Dissertation title: Kant, Cantor, and the Unconditioned. Supervisor: Dr Lilian Alweiss
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Daniel Pointon, King’s College London, January 2012. PhD. Dissertation title: Towards a Mapping Account of Applicability. Supervisor: Professor David Papineu
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Tom Eckersley-Waites, University College, London, September 2011. MPhilStud. Dissertation title: Neo-Logicism and A Priori Arithmetic. Supervisor: Professor Marcus Giaquinto
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Steffan Angere, Lund University, November 2010. PhD. Dissertation title: Theory and Reality. Supervisor: Professor Bengt Hansson.
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Kate Manion, King’s College London, November 2010. MPhilStud. Dissertation title: Identity and Change. Supervisor: Dr Chris Hughes.
POSTDOCTORAL SUPERVISION
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Paul Kindvall Gorbow (5/2021 – 4/2023), University of Oslo (Swedish Research Council)
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Laura Crosilla (7/2019 – 6/2024), University of Oslo (MSCA Fellow and Research Council of Norway)
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Sam Roberts, (1/2017 – 12/2019), University of Oslo (Research Council of Norway)
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Jon Litland (8/2012-8/2014), University of Oslo (ERC funding)
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Salvatore Florio (10/2010 –8/2013 ), Birkbeck, University of London and University of Oslo (ERC)
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Sean Walsh (10/2010 – 6/2012), Birkbeck, University of London (ERC)
POSTGRADUATE SUPERVISION
PhD supervision while at the University of Oslo
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Jacopo Berneri (primary supervisor, 8/2022 – )
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Julie Lauvsland (primary supervisor, 8/2022 –)
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Joost Vecht (primary supervisor, 1/2016 – 12/2018)
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Tobias Alexius (co-supervisor for his PhD at Uppsala University, ongoing)
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Giorgio Sbardolini (co-supervisor for his PhD at Ohio State University, 8/2017 – 3/2019)
Co-supervisor, Northern Institute of Philosophy, University of Aberdeen
Primary supervisor for PhD students at Birkbeck
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Bahram Assadian (10/2011 – 09/2012)
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Jönne Kriener (né Speck) (10/2010 – 7/2014)
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Sam Roberts (10/2010 – 9/2014)
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Peter Gibson (10/2011 – 09/2012)
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Simon Hewitt (autumn term, 2010)
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Frederik Willemarck (autumn term, 2010)
Co-supervisor for three PhD students from the University of Bristol:
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Richard Craven (metaphysics of modality) (10/2010 – 04/2012)
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Mark Pinder (philosophy of language) (10/2009 – 11/2013)
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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:
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Chris Scambler, NYU (7-8/2019)
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Luca Zanetti, IUSS Pavia (5-6/2018 and 1-2/2019)
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Giorgio Sbardolini, Ohio State University (autumn 2017)
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Filippo Costantini, University of Venice (autumn 2016)
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Tolgahan Toy, Middle East Technical University (autumn 2016)
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Michele Lubrano, University of Torino (spring 2014)
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Giulia Terzian, University of Bristol, post-doc (autumn 2012)
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Jonathan Payne, University of Sheffield (terms 2 and 3, 2010/11)
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Goncalo Santos, University of Barcelona (term 2, 2010/11)
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Rafal Urbaniak, Universities of Gdansk and Ghent, post-doc (1/10/2009 – 15/12/2009)
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Francesca Boccuni, University of Eastern Piedmont, Italy, post-doc, (15/09/2008 – 15/01/2009, autumn 2012)
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Walter Swetly, LMU Munich (spring semester 2008)
MPhil thesis supervision, the University of Oslo (with year of completion in parenthesis):
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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
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