{"id":7,"date":"2017-11-07T11:29:36","date_gmt":"2017-11-07T11:29:36","guid":{"rendered":"http:\/\/www.markuspantsar.fi\/?page_id=7"},"modified":"2026-04-09T10:49:04","modified_gmt":"2026-04-09T08:49:04","slug":"publications","status":"publish","type":"page","link":"http:\/\/www.markuspantsar.fi\/?page_id=7","title":{"rendered":"Publications"},"content":{"rendered":"

You can find (most of) my papers for download also on my PhilPapers<\/a> page, my\u00a0academia.edu<\/a> page, or my ResearchGate<\/a> page.<\/p>\n

Peer-reviewed scientific articles<\/strong><\/p>\n

    \n
  1. 2026 – Why Mental Metaphors Do Not Help Us Understand Chatbot Mistakes. Synthese<\/em>, 1-24. doi: 10.1007\/s11229-026-05551-8. With Regina E. Fabry. Download.<\/a><\/li>\n
  2. 2025 – Two Approaches to Developing Human-like Artificial Mathematical Intelligence. in Pantsar, M., Stjernfelt, F., Gramelsberger, G. & Olteanu, A. (eds.): Philosophy of Artificial Intelligence: Optimistic and Pessimistic Views<\/em>, Springer. Download preprint<\/a><\/li>\n
  3. 2025 – “The need for ethical guidelines in mathematical research in the time of generative AI”.\u00a0AI and Ethics<\/em>. doi:\u00a010.1007\/s43681-025-00660-5. Download.<\/a><\/li>\n
  4. 2025 – “Intelligence is not deception: from the Turing test to community-based ascriptions”.\u00a0AI & Society.<\/em> doi: 10.1007\/s00146-024-02172-y. Download.<\/a><\/li>\n
  5. 2025 – “How to Recognize Artificial Mathematical Intelligence in Theorem Proving”. Topoi<\/em>. doi:\u00a010.1007\/s11245-025-10164-w.\u00a0Download.<\/a><\/li>\n
  6. 2025 – “How numeral words and symbols shape arithmetical cognition”.\u00a0Cybernetics & Human Knowing<\/em>, 31 (3-4), 111-128. With Frederik Stjernfelt.<\/li>\n
  7. 2024 – “Where Does Cardinality Come From?”.\u00a0Review of Philosophy and Psychology. <\/em>doi:\u00a010.1007\/s13164-024-00746-9. With Bahram Assadian.\u00a0Download.<\/a><\/li>\n
  8. 2024 – “The Cognitive Foundations and Epistemology of Arithmatic and Geometry”.\u00a0Internet Encyclopedia of Philosophy.\u00a0<\/em>Link.<\/a><\/li>\n
  9. 2024 – “Theorem Proving in Artificial Neural Networks: New Frontiers in Mathematical AI”.\u00a0European Journal for Philosophy of Science<\/em>, 14, 4. doi:\u00a010.1007\/s13194-024-00569-6. Download.<\/a><\/li>\n
  10. 2024 – “Why Do Numbers Exist? A Psychologist Constructivist Account”.\u00a0Inquiry<\/em>. doi:\u00a010.1080\/0020174X.2024.2305386. Download.<\/a><\/li>\n
  11. 2023 – “Peirce\u2019s Philosophy of Notations and the Trade-offs in Comparing Numeral Symbol Systems”. Cognitive Semiotics<\/em>. doi: 10.1515\/cogsem-2023-2007. With Frederik Stjernfelt. Pre-print.<\/a><\/li>\n
  12. 2023\u00a0– “On Radical Enactivist Accounts of Arithmetical Cognition”.\u00a0Ergo,\u00a0<\/em>9, 57.\u00a0doi.org\/10.3998\/ergo.3120 Download<\/a>.<\/li>\n
  13. 2023 – “Developing Artificial Human-Like Arithmetical Intelligence (and Why).”\u00a0Minds and Machines<\/em>. 1-18. doi: 10.1007\/s11023-023-09636-y Download.<\/a><\/li>\n
  14. 2023 – “From Maximal Intersubjectivity to Objectivity: An Argument from the Development of Arithmetical Cognition”. Topoi,\u00a0<\/em>42, 271-281. doi: 1007\/s11245-022-09842-w. Download.<\/a><\/li>\n
  15. 2023 – “On What Ground Do Thin Objects Exist? In Search of the Cognitive Foundations of Number Concepts”.\u00a0Theoria<\/em>, 89(3), 298-313.\u00a0doi:10.1111\/theo.12366. Download.<\/a><\/li>\n
  16. 2022\u00a0– “<\/em>On the Development of Geometric Cognition: Beyond Nature vs. Nurture”.\u00a0Philosophical Psychology, <\/em>35(4), 595-616. doi: 10.1080\/09515089.2021.2014441 Pre-print.<\/a><\/li>\n
  17. 2021 – “Objectivity in Mathematics, without Mathematical Objects”,\u00a0Philosophia Mathematica<\/em>, 29(3), 318-352.\u00a0doi: 10.1093\/philmat\/nkab010.\u00a0Pre-print<\/a>.<\/li>\n
  18. 2021 – “Bootstrapping of Integer Concepts: the Stronger Deviant\u2011interpretation Challenge (and How to Solve It)”.\u00a0Synthese,<\/em>\u00a0199 (3-4), 5791-5814 doi.org\/10.1007\/s11229-021-03046-2. Download<\/a>.<\/li>\n
  19. 2021 – \u201cDescriptive Complexity, Computational Tractability, and the Logical and Cognitive Foundations of Mathematics\u201d. Minds and Machines, <\/em>31,\u00a0<\/em>\u00a075-98. doi: 10.1007\/s11023-020-09545-4. Download<\/a>.<\/li>\n
  20. 2021 \u2013 \u201cCognitive and Computational Complexity: Considerations from Mathematical Problem Solving\u201d. Erkenntnis<\/em>, 86, 961-997. https:\/\/doi.org\/10.1007\/s10670-019-00140-3<\/a>. Download.<\/a><\/li>\n
  21. 2021 \u2013 \u201cA fresh look at research strategies in computational cognitive science: The case of enculturated mathematical problem solving\u201d. Synthese<\/em>, 198, 3221-3263. https:\/\/doi.org\/10.1007\/s11229-019-02276-9. With Regina E. Fabry. Download.<\/a><\/li>\n
  22. 2020 – “Complexity of Mental Integer Addition”.\u00a0Journal of Numerical Cognition<\/em>,\u00a06(1), 148-163. With Stefan Buijsman. Pre-print.<\/a><\/li>\n
  23. 2019 \u2013 \u201cThe Enculturated Move From Proto-Arithmetic to Arithmetic\u201d. Frontiers in Psychology<\/em> 10: 1454. doi: 10.3389\/fpsyg.2019.01454. Download.<\/a><\/li>\n
  24. 2018 \u2013 \u201cMathematical explanations and mathematical applications\u201d, in Sriraman, B. (ed.) Handbook of Mathematics of the Arts and Sciences<\/em>, Springer. doi: 10.1007\/978-3-319-70658-0_30-1. Download.<\/a><\/li>\n
  25. 2018\u00a0<\/em>\u2013 “Early Numerical Cognition and Mathematical Processes”, THEORIA,\u00a0<\/em>33 (2), 285-304, 494-503. Download.<\/a><\/li>\n
  26. 2016 \u2013 \u201cThe Modal Status of Contextually A Priori Arithmetical Truths\u201d, in Boccuni & Sereni (eds.): Philosophy of mathematics: objectivity, cognition, and proof<\/em>, Springer. Download.<\/a><\/li>\n
  27. \u00a0<\/em>2016 – \u201cThe Great Gibberish: Mathematics in Western Popular Culture.\u201d Larvor (ed.): In Mathematical Cultures: The London Meetings 2012-2014, Springer. Download.<\/a><\/li>\n
  28. 2016 – \u201cFrege, Dedekind, and the Epistemology of Arithmetic\u201d, Acta Analytica<\/em>, 31 (3), 297-318. Download.<\/a><\/li>\n
  29. 2015 – \u201cAssessing the \u2018New Epistemology of Mathematics\u2019\u201d, Discipline filosofiche<\/em> XXV, 1. Download.<\/a><\/li>\n
  30. 2015 – \u201cIn search of aleph-null: how infinity can be created?\u201d, Synthese<\/em>, 192 (8), 2489-2511. Download.<\/a><\/li>\n
  31. 2014 \u2013 \u201cAn Empirically feasible approach to the epistemology of arithmetic\u201d, Synthese<\/em>, 191 (17), 4201-4229. Download.<\/a><\/li>\n
  32. 2012 – \u201cPerspectives to Empirical Philosophy of Mathematics\u201d, in Petrov, V. (ed.) Applied and Experimental Philosophy in the Knowledge Based Society East and West<\/em>, pp. 170-80. Download.<\/a><\/li>\n
  33. 2012 \u2013 \u201cAt What Stage Does Mathematical Understanding Arise? Toward Empirically Feasible Philosophy of Mathematics\u201d (in Finnish, “Miss\u00e4 vaiheessa matemaattinen ymm\u00e4rrys syntyy?”), in Viljanen, Siipi and Sintonen (eds.): Ymm\u00e4rrys<\/em>, Reports from the Department of Philosophy Vol. 25, University of Turku. Download.<\/a><\/li>\n
  34. 2011 \u2013 \u201cWhat Can We Deduce from G\u00f6del\u2019s Incompleteness Theorems in Philosophy?\u201d (in Finnish, “Mit\u00e4 G\u00f6delin ep\u00e4t\u00e4ydellisyysteoreemoista voidaan p\u00e4\u00e4tell\u00e4 filosofiassa), Ajatus<\/em>, Vol. 68, pp. 175-200. Download.<\/a><\/li>\n<\/ol>\n

    Scientific books (monographs)<\/strong><\/p>\n

      \n
    1. 2024\u00a0– Numerical Cognition and the Epistemology of Arithmetic.<\/em> Cambridge University Press, 252p.\u00a0ISBN: 9781009468886<\/li>\n
    2. 2009 – Truth, Proof and G\u00f6delian Arguments: A Defence of Tarskian Truth in Mathematics<\/em>, Philosophical Studies from the University of Helsinki, Vol. 23, 308p. Download.<\/a><\/li>\n<\/ol>\n

      \u00a0<\/strong>Edited volumes<\/strong><\/p>\n

        \n
      1. forthcoming – Synthese Topical Collection: Epistemic Agency in the Age of AI<\/em>, with Stefan Buijsman and Giorgia Pozzi.<\/li>\n
      2. 2025 \u2013\u00a0<\/em>Philosophy of Artificial Intelligence: Optimistic and Pessimistic Views<\/em>, Springer. Edited with Frederik Stjernfelt, Gabriele Gramelsberger and Alin Olteanu.<\/li>\n
      3. 2020 \u2013 Synthese Special Issue: Mathematical Cognition and Enculturation<\/em>, with Catarina Dutilh Novaes. Download\u00a0 the Introduction<\/a>, written by me.<\/li>\n<\/ol>\n

        Book reviews<\/strong><\/p>\n

          \n
        1. 2018 – <\/em>Extended book review – Caleb Everett: Numbers and the Making of Us,\u00a0Journal of Numerical Cognition<\/em> (with Paula Quinon). Download.<\/a><\/li>\n
        2. 2018\u00a0<\/em>\u2013 Sorin Bangu (ed.): Naturalizing Logico-Mathematical Knowledge, The Philosophical Quarterly<\/em>.\u00a0https:\/\/doi.org\/10.1093\/pq\/pqy051. Download.<\/a><\/li>\n<\/ol>\n

          Non-peer-reviewed scientific articles<\/strong><\/p>\n

            \n
          1. 2024 – “Wissenschaftstheoretisch Reflexionen zu Research Software Engineering”.\u00a0RWTH Themen Forschungsmagazin<\/em>, 1, 80-83. With Gramelsberger, G., Heyen, D., Kasprowicz, D., Kerksieck, F., Venator, T. & Wenz, D.<\/li>\n
          2. 2023 –\u00a0Blog entry: “On Radical Enactivist Accounts of Arithmetical Cognition”.\u00a0Ergo Blog<\/em>. https:\/\/ergoblog.org\/markus-pantsar-on-radical-enactivist-accounts-of-arithmetical-cognition\/<\/li>\n
          3. 2022 – “Twitter and the Aphoristic (Re)turn in Thought, Knowledge and Education.”\u00a0Educational Philosophy and<\/em> Theory<\/em>. doi: 10.1080\/00131857.2022.2132937. With\u00a0Fuller, S., Gorman, D., Dusek, V., Babich, B., Basb\u00f8ll, T. & Rider, S.<\/li>\n
          4. 2020 – “Mathematical Cognition and Enculturation: Introduction to the Synthese Special Issue”. Synthese<\/em>, 197, 3647-3655. doi: 10.1007\/s11229-019-02478-1<\/li>\n<\/ol>\n

            Theses<\/strong><\/p>\n

              \n
            1. 2004 \u2013 Arguments against strong artificial intelligence<\/em>, Master\u2019s thesis in theoretical philosophy, University of Helsinki.<\/li>\n
            2. 2004 \u2013 G\u00f6del\u2019s Incompleteness <\/em>Theorems, Laudatur thesis in mathematics, University of Helsinki.<\/li>\n<\/ol>\n

              Software<\/strong><\/p>\n

                \n
              1. Gramelsberger, G., Pantsar, M, Wenz, D., Kasprowicz, D., Heyen, D. & Metta, N. GICAT: General Isomorphic Code Analysis Tool. doi: 10.5281\/zenodo.18833096<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

                You can find (most of) my papers for download also on my PhilPapers page, my\u00a0academia.edu page, or my ResearchGate page. Peer-reviewed scientific articles 2026 – Why Mental Metaphors Do Not Help Us Understand Chatbot Mistakes. Synthese, 1-24. doi: 10.1007\/s11229-026-05551-8. With Regina E. Fabry. Download. 2025 – Two Approaches to Developing Human-like Artificial Mathematical Intelligence. in<\/p>\n

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