Research Topics in Philosophy of Mathematics:

The debate between mathematical realism and antirealism. The philosophy of mathematics of Neofregeanism (Hale and Wright). Benacerraf’s challenge to mathematical realism and responses. Mathematical truth. Syntactical and semantical behaviour of arithmetical terms. Fregean abstraction principles. The discussion about mathematical implicit definitions (:systems of axioms and abstraction principles). Ontological commitments of 2nd order logic. Nominalism. Aspects of the Continuum in philosophical search. Mathematical Pluralism. Aristotle’s accounts of some mathematical issues.

Selected publications:

(PhD thesis) A critical investigation of the argumentation of Neofregeanism/Neologicism on the ontological status of numbers as objects and the origins of arithmetical knowledge.

Books in Greek

Christopoulou, D.  (2017)  P. Benacerraf's dilemmas, Athens, Okto publishers

Christopoulou, D. (2018)  Introduction to Philosophical Logic  (it includes the translation of E. J. Lowe's article "Philosophical Logic" in Greek)

Editor of the Greek version of M. Friend's book  "Introducing Philosophy of mathematics"  (Γνωρίζοντας τη Φιλοσοφία των Μαθηματικών),  Epikentron publishers,  2020

Christopoulou, D. (2021) Neologicism/Neofregeanism: numbers as objects,  Paremvasi publishers

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A book in collaboration with S. Psillos consists in six chapters, namely four already published papers by S Psillos and D. Christopoulou (mentioned below) plus two chapters that are pending. 

Selected Published Papers:

24. Christopoulou, D. (2021) “Implicitly defining mathematical terms: a path towards Pluralism”       in the Handbook of the History and Philosophy of mathematical practice (ed) Bharath Sriraman, Springer,  1-17

23. Christopoulou, D. (2019) “Sets and Necessity”, Politeia, vol. Ι (3), 99-110

22. Anapolitanos, D. A. and Christopoulou, D.  (2020) “Peirce and Leibniz on Continuity and the Continuum”  Metaphysica 21(1) 115-128

21. Anapolitanos, A. D. and Christopoulou, D.  (2021)  “Aristotle on potential density”, Axiomathes, 31, 1-14

20. Christopoulou, D. (2015) "Dealing with Quine's “wolf”:  is 2nd order logic ontologically committal?" Philosophical Inquiry, 39, 1, 63-80

19. Christopoulou, D. (2014) “Weyl on Fregean implicit definitions: between phenomenology and symbolic construction” Journal for General Philosophy of Science, Volume 45, Issue 1, 35-47

18. Christopoulou, D. (2013) "How Hermann Weyl Could Deal with Paul Benacerraf's (1973) Challenge to Realism?", Philosophy Study, vol.3 (8) 529-537

17. Christopoulou, D. (2013) “On the synthetic content of implicit definitions”, Logic and Logical Philosophy, Vol. 22 , 47–60

16. Christopoulou, D. (2012) "Two German philosophers of mathematics, two epistemological traditions: Frege and Weyl on abstraction", Proceedings, 5th International Conference, European Society for the History of Science

15. Christopoulou, D. (2011) “On a double aspect of numbers as universals and Objects”, Logic and Philosophy of Science, Vol. IX, No 1, 229-245

14. Christopoulou, D. (2008) “How to deal with Janus’ face of natural numbers?”, Logica Yearbook 2007, 31-42

13. Christopoulou, D. (2010) “Identity criteria in Metaphysics of abstract objects”, Defcalion, 224-258 (in Greek)

12. Christopoulou, D. (2009) "Carnap’s conditionals as implicit definitions of the meaning of scientific terms: the conflict between Horwich and Hale & Wright" Proceedings of the 5th Greek Conference on History, Philosophy and Teaching of Physical Sciences, Cyprus, Juhn 2009 (in Greek)

11. Christopoulou, D. (2017)  “The syntactical and semantical behaviour of arithmetical terms, in the context of Neofregeanism”  Neusis, 25, 119-139 (in Greek)         

10. Christopoulou, D. (2020) “Philosophical denotations of basic set-theoretical beliefs” . In a Greek volume edited by prof. D. Anapolitanos with the title Axioms, Paradoxes, Hypotheses, Conjectures, Nefeli (in Greek)

9. Christopoulou, D. (2016) "Aspects of abstraction procedures in Mathematics” Proceedings of the Greek Conference History, Philosophy and Education of Science, October 2016, Athens,  200 – 207 (in Greek)

8. Christopoulou, D. (2015) "The phenomenologist G. C. Rota on philosophy and mathematics” Appendix of the book G. C. Rota, Mathematics and Philosophy,  Eurasia, 2015 (in Greek)

7. Anapolitanos, A. D. and Christopoulou, D. (2019) “Aristotelian Time”  Metaphysica, 20 (1),  35-49  

6. Christopoulou, D., Anapolitanos, D., Alexiadou, M.  “Hume's Problem of Enumerative Induction Reconsidered. Building on Armstrong and Harman's Accounts”,  Philosophical Inquiry, 41 (1), Winter 2017,  86-97

5. Christopoulou, D. (2007) "Hartry Field on Contingent Nominalism", Mathematical Review, Vol. 67, 46-62 (in Greek)

4. Christopoulou, D. (2000) “Paul Benacerraf and the epistemic challenge to mathematical Realism”, Defcalion, 2000, 18/1, 45-70, (in Greek)

3. Psillos, S.& Christopoulou, D. (2009) "The A Priori: Between Conventions and Implicit Definitions". In Nikola Kompa, Christian Nimtz, Christian Suhm (eds.), The a priori and its role in philosophy, Mentis, 205-220

2. Christopoulou, D. & Psillos, S. (2008) “The Concept of Number and the Number of a Concept: an analysis of Frege’s Grundlagen“, Noesis, 3, 79-114 (in Greek)

1. Χριστοπούλου, Δ. και Ψύλλος, Σ. (2005) «Νεο-λογικισµός: Προβλήµατα και Προοπτικές»,  Νεύσις, 14, 152-73

Book Reviews - D. Christopoulou

Bonjour, L.  (1998) In defense of Pure Reason: A rationalist account of a priori justification, Cambridge, Cambridge University Press   (in  Νeusis  10 (2001),  206-213)

Anapolitanos, D.  Philosophical Images, Narrations and Schemas, Athens Ekkremes 2019  (in Books' Journal,  December 2019)

Anapolitanos, D. Labyrinths, Epistemological Cracks, Philosophical Fragmentations and Consolations,  Athens Ekdotiki, 2016   (in  Neusis  25 (2017),  147-167)

Anapolitanos, D. The Finite, the Infinite and the World,  Athens, Nefeli, 2021  (in Books' Journal, May 2021)

International Conferences:

1. Workshop: A Priori knowledge and Implicit Definitions, Freie University, Berlin, Semptember 2006

2. 17th Novembertagung Conference, University of Edinburgh, Science Studies Unit, Edinburgh, 3-4 November 2006

3. 21th Symposium Logica, Institute of Philosophy, Czech Republic, 18-22 June 2007

4. BSPS (British Society for the Philosophy of Science Annual Conference), University of Bristol, 5-6 July 2007

5. Joint Session of the Aristotelian Society and the Mind Association, University of Bristol, 6-8 July 2007

6. 1st Conference of the European Philosophy of Science Association (EPSA), Madrid, 14-17 Nοvember 2007

7. ECAP6, European Congress of Analytic Philosophy, Krakow, 21-25 August 2008

8. Joint Session of the Aristotelian Society and the Mind Association, University of East Anglia, Norwich, 10-12 July 2009

9. Joint Session of the Aristotelian Society and the Mind Association Sussex University, 7-9 July 2011

10. 3rd Conference of the European Philosophy of Science Association (EPSA), University of Athens, 5-7 Οctober 2011

11. 5th International Conference, Society for the History of Science, Athens, 2012

12. Conference “The Analysis of theoretical terms”, Mathematical Philosophy Center, Ludwig Maximilians Universitat, Mόnchen, April 2013 (as invited speaker)

13. ENFA 7 ​Seventh National Meeting In Analytic Philosophy School Of Arts And Humanities, University Of Lisbon, ​​September, 2018

Selected papers delivered:

“Janus’ face of natural numbers”

“Abstraction Principles and Discovery”

"Ramseyfying implicit definitions”

“On the synthetic content of implicit definitions”

“On a double aspect of numbers as universals and objects”

“Implicitly defining mathematical terms”

“Benacerraf’s challenge to ethical realism” (with S. Virvidakis)

“The a priori: between conventions and implicit definitions” (with S. Psillos)

"What the values of  2nd order variables could be"

Teaching 

Teaching on a contract

2006-07     Panteion University

2007-08     Panteion University, University of Athens, University of Patras

2008-09     University of Athens, University of Patras

2009-10     University of Patras

2010-11     University of Patras

2011-12     University of Patras

Teaching as a Lecturer (University of Patras)

2012-2015     Department of Philosophy, University of Patras

Teaching as an Assistant Professor  (University of Athens)

2015-2020     Department of Mathematics, University of Athens

Courses

Philosophy of Mathematics   (2007-09,  2015-2019) Department of Mathematics, Athens, Department of History and Philosophy of Science, Athens

Philosophy of Mathematics postgraduate (2013 - 2020)  Department of Mathematics, Athens,

Department of Educational Studies, Athens

General Mathematics    Department of History and Philosophy of Science, Athens,

Department of Pharmaceuticals, Athens

Logic (Propositional and Predicative Logic)

(2007 - 2020) Department of Philosophy, Patras, Department of Philosophy, Athens, Department of Psychology Athens

Philosophical Logic (2008 - 2015), Department of Philosophy,  Patras

Philosophy of Science (2010-11, 2011-12, 2012-13), Department of Philosophy, Patras

Investigations of Philosophical Issues, Department of Philosophy, Patras

Epistemology-Metaphysics, Department of Philosophy, Patras

Possible worlds in D. Lewis’ Philosophy, Department of Philosophy, Patras

Issues in Medieval Philosophy, Department of Philosophy, Patras

Analytic Philosophy (of Science), Department of Philosophy, Patras

Scientific Realism and Instrumentalism (postgraduate course), Department of Philosophy, Patras