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RESEARCH INTERESTS

Philosophy of Mathematics, Metaphysics, Philosophical Logic, Philosophy of Science

TEACHING COMPETENCE

Philosophy of Mind and Cognitive Science, Applied Ethics, History of Philosophy (Ancient and Early Modern) 

EMPLOYMENT

July 2020 - Present, University of York

    Marie Curie Research Fellow

    PI on the EU project: Fictionalist Mathematical Structuralism

June 2017 - Present, Munich Center for Mathematical Philosophy

    External Member

June 2019 - June 2020, University of Leeds

    Visiting Research Fellow

June 2017 - June 2019, University of Vienna

    Postdoctoral Researcher, ERC Project: The Roots of Mathematical Structuralism

June 2015 - June 2017, Munich Center for Mathematical Philosophy

    Postdoctoral Researcher, DFG-ANR Project: Mathematics: Objectivity through Representation

 

Sept. 2013 - June 2015, London School of Economics and Political Science

    Guest Lecturer and Visiting Researcher

 

Sept. 2014 - March 2015, Birkbeck, University of London

    Associate Tutor

 

Sept. 2013 - August 2014, Institute of Philosophy, University of London

    Visiting Fellow

 

2007 - 2012, Queens College, City University of New York

    Adjunct Lecturer

 

EDUCATION

 

The Graduate Center, City University of New York (CUNY GC)

    PhD, Philosophy, 2013

Dissertation: Metaphysical Dependence and Set Theory

Supervisor: Graham Priest (CUNY GC and University of Melbourne)

Committee: Kit Fine (NYU), Melvin Fitting (CUNY GC), Arnold Koslow (CUNY GC), Richard Mendelsohn (CUNY GC)

 

University of St. Andrews, Visiting Scholar, Summer 2011, Summer 2012

 

University of Melbourne, Visiting Scholar, Spring 2011

 

University of Massachusetts, Amherst

    BA, cum laude, Philosophy, 2005

 

University of Leeds, Visiting Student, Spring 2005

 

PEER REVIEWED ARTICLES

'The Structuralist Thesis Reconsidered', co-authored with Georg Schiemer, The British Journal for the Philosophy of Science, 70: 1201 - 1226, 2019. (Journal - open access)

'Individuating Logics: A Category-Theoretic Approach', Thought: A Journal of Philosophy 8: 200 - 208, 2019. (Journal - open access)

'Non-Eliminative Structuralism, Fregean Abstraction, and Non-Rigid Structures', Erkenntnis, DOI: 10.1007/s10670-018-0096-3, 2018. (Journal - open access)

'Bi-Modal Naive Set Theory', The Australasian Journal of Logic 15: 139 - 150, 2018. (Journal - open access)

'Grounding in Mathematical Structuralism', in Bliss, R. and Priest, G. (eds.) Reality and its Structure:  Essays in Fundamentality, Oxford University Press, 217 - 236, 2018. (PDF)

'Logical Anti-Exceptionalism and Theoretical Equivalence', Analysis, 77: 759 - 767, 2017. (PDF) (Journal)

'Set-Theoretic Dependence', The Australasian Journal of Logic 12: 159 - 176, 2015. (Journal - open access)

BOOK REVIEWS AND OTHER PUBLICATIONS

Review of Luca Incurvati Conceptions of Set and the Foundations of Mathematics. Analysis Reviews, in preparation.

Introduction to a special issue on the foundations of mathematics, co-authored with Antos, C., Barton, N., Friedman, S. D., and Ternullo, C., Synthese, DOI: 10.1007/s11229-019-02422-3, 2019. (Journal)

Guest column ‘What’s Hot in Mathematical Philosophy’, The Reasoner 12: 22 - 23, 2018. (PDF)
 

Review of Ian Rumfitt The Boundary Stones of Thought. The Philosophical Quarterly, 67: 219 - 221, 2017. (PDF) (Journal)

 

Review of Penelope Rush (ed.) The Metaphysics of Logic. Philosophy, 90: 710 - 715, 2015. (PDF) (Journal)

 

UNDER REVIEW AND IN PREPARATION

'Scientific Realism without Mathematical Platonism: A Structuralist Approach', under review.

'Structuralism and Informal Provability', co-authored with Georg Schiemer, in preparation. 

'Bayesian Confirmation of Logical Theories', in preparation.

EDITORIAL WORK

Co-editor of a special issue of Synthese on "The Foundations of Mathematics: Competing Foundations, New Axioms and the Set-Theoretic Multiverse" (with Carolin Antos-Kuby, Neil Barton, Sy David Friedman, and Claudio Ternullo), in production.

Co-editor of a special issue of Philosophia Mathematica on "The Foundations of Mathematical Structuralism" (with Georg Schiemer), in preparation.
 

PRESENTATIONS

 

Refereed

Scientific Realism without Mathematical Platonism: A Structuralist Approach

- Joint Session of the Aristotelian Society and the Mind Association, Oxford, July 2018

- British Society for the Philosophy of Science Annual Conference, Oxford, July 2018

Logical Anti-Exceptionalism and Theoretical Equivalence

- European Philosophy of Science Association Conference, Exeter, September 2017
- Critical Views of Logic, Oslo, August 2017
- Joint Session of the Aristotelian Society and the Mind Association, Edinburgh, July 2017
- British Society for the Philosophy of Science Annual Conference, Edinburgh, July 2017

Non-Eliminative Structuralism, Fregean Abstraction, and Non-Rigid Structures

- The Emergence of Structuralism and Formalism, Prague, June 2016

Naive Modal Set Theory 

- Prague Seminar on Non-Classical Mathematics, Prague, June 2015

- Foundations of the Formal Sciences VIII: History & Philosophy of Infinity, Cambridge, September 2013

Logical Laws and Logical Possibility

- British Society for the Philosophy of Science Annual Conference, Exeter, July 2013

- Graduate Conference in Theoretical Philosophy, Groningen, April 2013

- PhDs in Logic V, Munich Center for Mathematical Philosophy, April 2013

 

Mathematical Structuralism and Dependence

- Closing Conference: Structuralism in Physics and Mathematics, Bristol, September 2012

 

Metaphysical Dependence and Set Theory

- Reality Making: Exploring Fundamentals in Metaphysics, Nottingham, July 2012

- Australasian Postgraduate Philosophy Conference, Monash University, April 2011

 

What is a Possible World?

- Logic, Mathematics, and Physics Graduate Philosophy Conference, University of Western Ontario, May 2012

- Northwest Student Philosophy Conference, Western Washington University, May 2012

- Graduate Conference in Philosophy, University of Texas at Austin, March 2012

 

Invited

 

Benacerraf's identification problem revisited

- Historical Roots of Mathematical Structuralism, Universität Wien, upcoming August 2019

- First International Workshop INTEREPISTEME, Universität Wien, December 2018

Modal Semantics for Structural Abstraction

- Varieties of Mathematical Abstraction, Universität Wien, August 2018

Mathematical Nominalism

- Universität Wien, March 2018

Scientific Realism without Mathematical Platonism: A Structuralist Approach

- Scuola Superiore Studi Pavia IUSS, May 2018

- Universität Wien, November 2017
- University of Leeds, March 2017
- University of York, March 2017
- Numbers in Mind, Institute of Philosophy, London, February 2017 

Naive Modal Set Theory

- Truth and Properties: Building Bridges, LMU München, September 2016

- University of Oxford, Philosophy of Mathematics Seminar, November 2014

Logics as Scientific Theories of Consequence

- Universität Wien, June 2016

- University of East Anglia, October 2014

- University of Bristol, May 2014

- University of Kent, April 2014

- The Institute of Philosophy, London, March 2014
 

Non-Eliminative Structuralism, Fregean Abstraction, and Non-Rigid Structures

- Munich Center for Mathematical Philosophy, May 2016

- Université de Lorraine, January 2016

 

Mathematical Structuralism and Metaphysical Dependence (Video)

- Munich Center for Mathematical Philosophy, July 2015

 

Reasoning Biases and Non-Classical Logics

- London School of Economics, November 2013

- Cumberland Lodge, November 2013.

 

Philosophical and Argumentative Writing

- London School of Economics/Birkbeck, October 2013

 

Grounding Sets

- The Graduate Center, CUNY, November 2011

 

Minimal Modal Set Theory

- University of Melbourne, May 2011

 

Ontological Dependence and Set Theory

- University of Melbourne, March 2011

- University of Adelaide, January 2011

 

Why Does Logic Matter to Philosophy? 

- Queens College, CUNY, November 2009

 

CONFERENCE ORGANIZATION

Varieties of Mathematical Abstraction (with Francesca Biagioli and Georg Schiemer).  Vienna, July 2018.  Funded by the European Research Council (ERC).

SotFoM 4: Reverse Mathematics (with Carolin Antos-Kuby, Neil Barton, and Claudio Ternullo). Munich, October, 2017. Keynote Speakers: Marianna Antonutti Marfori, Walter Dean, Benedict Eastaugh, Takako Nemoto, Stephen Simpson. 

Model Theory: Philosophy, Mathematics, Language (with Lavinia Picollo and Gil Sagi). Munich, January 2017. Keynote speakers: John Baldwin, Tim Button, Hartry Field, Volker Halbach, Juliette Kennedy, Menachem Magidor, Georg Schiemer, Gila Sher, Dag Westerståhl, Yoad Winter, Thomas Ede Zimmermann. Funded by the Deutsche Forschungsgemeinschaft (DFG).

 

Foundations of Mathematical Structuralism (with Georg Schiemer). Munich, October 12 – 14, 2016. Keynote Speakers: Steve Awodey, Jessica Carter, Gerhard Heinzmann, Geoffrey Hellman, James Ladyman, Elaine Landry, Hannes Leitgeb, Mary Leng, Øystein Linnebo, Erich Reck. Funded by the Deutsche Forschungsgemeinschaft (DFG).

 

Third Symposium on the Foundations of Mathematics (with Carolin Antos-Kuby, Neil Barton and Claudio Ternullo). Kurt Gödel Research Center, University of Vienna, September 21 – 23, 2015. Keynote Speakers: Tatiana Arrigoni, Sy David Friedman, Geoffrey Hellman, Mary Leng, and Øystein Linnebo. Funded by the Kurt Gödel Research Center.

 

Second Symposium on the Foundations of Mathematics: Competing Foundations? (with Carolin Antos-Kuby, Neil Barton and Claudio Ternullo). Senate House, London, January 12 – 13, 2015. Keynote Speakers: Sy David Friedman, Victoria Gitman, James Ladyman, and Toby Meadows. Funded by the Mind Association, the British Logic Colloquium, the Institute of Philosophy, and Birkbeck College.

 

Symposium on the Foundations of Mathematics (with Carolin Antos-Kuby, Neil Barton and Claudio Ternullo). Kurt Gödel Research Center, University of Vienna, July 7 – 8, 2014. Keynote speakers: Hannes Leitgeb and Sy David Friedman. Funded by the Kurt Gödel Research Center.

 

FELLOWSHIPS AND COMPETITIVE GRANTS

 

Three separate Deutsche Forschungsgemeinschaft (DFG) Conference Grants (€23,800, €18,300, and €18,300)

 

Mind Association Major Conference Grant (£1,400)

 

British Logic Colloquium Conference Grant (£600)

 

Analysis Trust Grant (£200)

 

British Logic Colloquium Grant (£200)

 

Conference Presentation Support, CUNY ($400)

 

Doctoral Student Research Grant, CUNY ($1,900)

 

Chancellor’s Fellowship, CUNY (full tuition remission and stipend)

 

SERVICE

 

Referee for Analysis, Australasian Journal of Logic, Australasian Journal of Philosophy, The British Journal for the Philosophy of Science, dialectica, Erkenntnis, Synthese, Theoria

Philosophy Undergraduate and MSc Exam Sub-Boards committee member, LSE.

 

Convenor of a work group for London-based early career researchers.

 

Co-convenor of a reading group on set theory with London-based postgraduate students.

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